sorry to be off topic but does anybody know a tool to log back into an Instagram account..? I was dumb lost the password. I appreciate any assistance you can give me.
That is extremely kind and very generous. I try to make the point that my videos can, at best, only ever be a general and basic introduction to the subject or serve for revision purposes. They can never replace the work of the teacher or the lecturer. But you are very gracious and I am most grateful.
Your well organized lesson is clear and simple to understand. Leonardo Da Vinci noted: simplicity is the ultimate sophistication. I think that teaching complex topics need not be complicated. Thank you for sharing your cultural baggage with us.
When I did my Bachelors and Masters in Physics, I just every moment of this area! But the most important thing is that how the classical mechanics moves to quantum world thru MB statistics and then all the way up.... wonderful... I enjoy this even today... A well made video for beginners in college who have exposure to classical physics and move to higher physics of particles.... Well explained without complications of wave equations etc... Very good...
Sir, your explanation is wonderfull and clear; i’m a retired quality assurance engineer , aged 63 years, and i’m following “Stellar AStrophisics” course at Bologna University; my teacher explained the Degenerate state of the inner of the star; he use Fermi - Dirac equation in a different form that contains the parameter of degeneration “psi”. “PSI” = (1/ KT) * (3n/8*PI) elevated to 2/3. It is easy to trasform “PSI” = EF /KT so we can obtain the Fermi - Dirac equation in the form u present in the video. In this way the degeneration is correlated not only with T but also with “n” : n° of particle for volume. My teacher present also the diagram for NP (N° of particle with momentum P) related to different “psi” for both “Maxwell” and “fermi-Dirac” distribution with T=cost and different n (N° of particle). If is possible I will appreciate one video for explain better these relationship. Tha a lot Carlo Casoli
In India we have system of Guru-Shisya where we respect our teachers like god. After watching your video, I have cleared my doubts pending for over 5 years. Thanks alot for being such an awesome guru
my god, thank you so much, i'm struggling through my materials science exam thanks to these videos. the audio is good and the pronounciation is totally clear so that non native speakers like me can understand perfectly what's going on. thank you very much!
Thanks. I've been thinking of just this for a while but I am still working out how best to explain it in the simple terms I like to achieve. Hope to produce something along these lines soon.
I don't have words for this channel and this very video. You have reignited the passion of a physicist. I have waited for 12-15 years to see something like this.
Respected Professor, Greetings from India! Your lecture on the basics of Statistical Mechanics is very impressive and has lessened the fear to initiate my studies on Statistical Mechanics. My sincere thanks and appreciations to you! May your service continue to benefit many aspirants of Physics. Thank you! Dr. R. Arun Kumar, Associate Professor of Physics, PSG College of Technology, Coimbatore, India-
What a great lecture. I've been listening to my proffesor for like two months and I don't even understand a single thing but you make it clear for only 40 minutes. Keep it up.
Thanks for kind comments. My next video (due early in the new year) is on Analytical Mechanics and will will include the basics of the principle of least action, the Lagrangian and the Hamiltonian.
DrPhysicsA, you are the man. I have an exam on statistical mechanics on monday and you've cleared up a whoooole load of stuff. This one video is more relevant to my syllabus than our entire lecture series. I wish my lecturer were as good as you. Thanks for providing such a clear and intelligible introduction to BE and FD stats!
You make this so much more enjoyable and easier to understand than others do! It comes from a complete understanding of the material from your end. Thanks for the upload!
superb work sir,my physics teacher quired me a single differnce bt now m capable off explaining evrything......thanxx alot wish cud have you as my teacher,who could explain me so fantastically !!!!!
An energy level we does not imply a spatial distance sleep. In other words, the orbits of electrons of high energy are not necessarily further away from the nucleus than those of lower energy. The wave function for the electron provides a probability of its location. That does not have to match its energy.
I am a bit late, but if you are still interested in more essential physics from Bose then the book below is excellent. Bose and His Statistics. India, Universities Press, 1992.
Electrons are allowed to occupy levels between the principle quantum numbers because there are other quantum numbers. eg electrons in the 3s shell are at a lower energy level than those in the 3p level. But both are in the n=3 shell.
I know this from clashing with my precalc teacher (before this I had the same idea), but I did some research and started learning calculus ahead of time, and the concept of the limit helped clear it all up. Thanks for your contributions to the community!
34:07 this was the explanation I have been looking for for months. I always wondered why lower energy states could be occupied even if the temperature was high.
Good question. My explanation is a bit simplistic to get the general idea across. As you might expect, its really more quantum mechanical than that. Schrodingers Equation is used to identify which energy levels are available and in some cases there will be energy band gaps where no solution exists.
Great intro, Dr Physics. If you get time, do a complete derivation of all three of these with your green pen. I am piecing together the derivations found in other lectures, but I think your style would make it a great set of lectures, and it would be a real service to humanity.
You might want to look at my series of 3 videos on Atomic Physics. But, in essence, the Pauli exclusion principle prevents two or more electrons from having exactly the same quantum state. So if you have 1 mole of Cu (6 x 10**23 atoms) each of the 4s states forms a degenerate set of states each of slightly different energy. If the overall range of the degerate states were, say, 10eV, then the difference between successive states would be 10/ 6 x 10**23 eV - which is very small.
Well if it is superconducting then the electrons will not encounter any resistance so there will be no power loss. But if the current is taken out of the system it can do work (but it will then encounter resistance).
Excellent lecture. One small point though...@19:22 when you graph the Maxwell-Boltzmann statistics; note that the graph of the function function e^(-E/kT) will always pass through the point (0,1) for any temperature. That is, when E = 0, you will have f(E)=1 simply because e^(0) = 1.
Excellent teacher in the subject of Physics, made simple and lucid flow of concepts, rather difficult to understand by only reading the textbooks! Thanks bro. Love from India.
Extremely well explained video, most appreciated. I wish I had discovered this whilst at University doing Physics. Finally beginning to understand some statistical mechanics now!
Wow, so simple yet so clear! Thank you so much, this is the first time I really was able to grasp these concepts! Please keep making wonderful physics videos
Just about! I tried to explain/excuse myself for being late using Fermi-Dirac statistics but my boss thought I was probably a bit too big to use quantum mechanics as an excuse for not being allowed to go to work on time. In my mind I had already used up my quantum numbers for the day and did not want to violate Pauli's exclusion principle. Apparently, my body's wavefunction had a wavelength far too short to be even considered for such an excuse. Again, great video and really well explained!!
The term quantum leap probably originated from the idea that electrons do not move gradually from one energy level to another. They are either at one or the other with the implication that they must leap from one to the other. Of course, this is just one of the weirdness aspects of quantum mechanics.
Excellent discussion! Thanks for producing these videos. They are a significant contribution to physics education. [A minor "typographical" error occurs at about 29:15 where the E - EF at the bottom of the screen should be EF - E. But, everything else goes through fine.]
Tom Snyder I agree regarding the quality of the video, thanks for answering questions which my own teacher is uncapable of answering. Regarding the "typographical" error, I see why you suggests this correction, Snyder, but then it wouldn't correspond to our formula, and basically useless, right? The way to keep it useful in both math and physics would, the way I see it, be to take the numeric value of the exponent when he has made the whole exponentiation the denominator of the denominator. Don't you agree?
I think I understand what you are trying to say, but I just wanted to try and clarify what I hope DrPhysicsA was saying. In general, you are right that the limit approaches infinity or negative infinity depending on which direction to are approaching 0 from, and because these limits are different, we say that anything divided by zero is undefined. However in this context we are only considering the limit as we approach 0 from the positive direction, and so it is appropriate to say x/0 ->infinity
It was reported that they had gone below absolute zero but this was not quite what they had done. There are articles on the web which explain what happened. But absolute zero has not been reached or breached.
The key point here is that photons are Bosons and those bosons are not restricted by the Pauli exclusion principle. So they can all sit in the lowest energy state.
Your lessons are very nice and thorough, but you do some inaccuracies, that should be dealt with. The first I noticed is when you plot the Maxwell Boltzmann probability: you plot them parallel to each other, one probability at a lower temperature and another probability at a higher temperature. As the total integral of a probability plot should equal to one, I believe that the two plots should intersect at some temperature. Even if they both diverge at zero temperature, the plot at higher temperature should be "slimmer" near the origin. A second inaccuracy is when you plot the Fermi sea for copper: your plot is the lower half of the conduction band. All the electrons of the level 4 in copper belong to the conduction band, and the conduction band as a whole is half full, with the full valence band below. With copper, however, the situation is fairly complex, as the lower bands are not completely separated. However, I listen with much interest to all your lessons, thank you again.
@ 00:37 MB-distribution deals molecules or atoms; both are distinguishable. @ 10:51 Not the number of molecules, but the number of molecules PER energy-interval (dE)
Yes, I know, but I don't know for certain that energy level 'leap' implies spatial distance 'leap' - which is obviously paradoxical if true. Can you confirm that the latter is implied by the former ?
Excellent stuff and thanks very much. Couple of quick questions; 1. Is the Fermi level always defined relative to absolute zero ie; is it a constant in any given material? Also if you have a moment could you explain superconductivity in this context. It would seem that superconductivity would imply that there were more electrons in the conductivity band at lower temperatures but obviously that's not the case if they're all stuck in the valance band. Kevin
Also, would it be correct to think of M-B as "the prob of a molecule having a certain energy (ie, KE)" while F-D and B-E as "the prob of a particle occupying a certain state"? My interpretation of what you taught is that not all three gives the prob of state occupation, only the last two. Sorry, if I'm wrong. :P
I think it would be great if you could do a more detailed video on how Maxwell developed his statistics. It seems to me that this is a key concept in the understanding of how physics evolved as the UV catastrophe was based on the application of these statistics. I viewed many videos but these have tended to be highly technical .
Another home run favorite, Doc. I've been following your progress here and it seems you meet each new challenge/request with the expected payoff. I'd say accessable but not dummied down is your admired signature. Since it seems like your taking selected, cough cough, requests, may I request one? I have recently come across the Dirac equation and could use a tutorial with your unique approach. I think this is important because it derives from the SE equation and predicts Spin and antimatter.
Thank you ! Your lessons are very clear and your accent is understandable by a french guy :) What I do not understand is the link between N(E) curves and Boltzman statistics ? For N(E) curves, N=0 when E=0 while N=1 when E=0 for Boltzman statistics ...
I think I've seen this pointed out on other videos of yours, and it doesn't really detract from the point you're making, but I'm afraid that we cannot all agree (~17:00) that as x --> 0, y=1/x --> ∞. It is certainly true as x tends to 0 from the right, but as x tends to 0 from the left the story is quite different. Regardless, wonderful, wonderful videos you've got here.
Nice video. But to my understanding, the first plot should show the exponential decay - a longer tail at the right side rather than a normal distribution.
What is explained is explained well. Regrettably, what is not explained is what the title leads one to expect. The way the FD and BE distributions (or the MB) are generated is mathematics but based on the distinguishability and the packaging of the available states. That, I find, important in understanding the application of the physics to getting the statistics.
Sorry. Missed this. I assume your point is that each superconducting plate could hold an infinite charge. I'm not sure about the theory here. Anyone else know?
Why is there two distribution graphs for the M-B distribution? You drew one that looks like a Gaussian distribution and then, some time later, another one that looks like an exponential decay function. Which one is it? Thanks!
From a lay point of view this seems to go "against" super conductivity at very cold temperatures as the lower the temperature the less eletrons are available in the conducting band. I am sure there is a good explanation for super conductivity and you may even already addressed that but I did not see all your videos (yet!). Anyway I find your videos very good, so keep up with the great job!
Question about the condensation. It sounded like you were saying that a system of N bosons reduces to a system of 1 boson when it is observed at the lowest level. Did I follow that correctly?
How does the Bose-Einstein Condensate condense? Even though Helium-4 are Bosons, don't the electrons still repel the other Helium 4 atoms. How do they get close enough so that their wave function overlap and make BEC?
You speak so well that RUclips auto-generated subtitles are actually correct.
+Ciro Santilli No way.
+Ciro Santilli Not true, there are some mistakes, but not many
Tea’s ready!
Yep
sorry to be off topic but does anybody know a tool to log back into an Instagram account..?
I was dumb lost the password. I appreciate any assistance you can give me.
That is extremely kind and very generous. I try to make the point that my videos can, at best, only ever be a general and basic introduction to the subject or serve for revision purposes. They can never replace the work of the teacher or the lecturer. But you are very gracious and I am most grateful.
Your well organized lesson is clear and simple to understand.
Leonardo Da Vinci noted: simplicity is the ultimate sophistication.
I think that teaching complex topics need not be complicated.
Thank you for sharing your cultural baggage with us.
Only teachers who understand the subject well can present it simply. Unfortunately, this is a NECESSARY but not a SUFFICIENT condition.
When I did my Bachelors and Masters in Physics, I just every moment of this area! But the most important thing is that how the classical mechanics moves to quantum world thru MB statistics and then all the way up.... wonderful... I enjoy this even today... A well made video for beginners in college who have exposure to classical physics and move to higher physics of particles.... Well explained without complications of wave equations etc... Very good...
Sir, your explanation is wonderfull and clear; i’m a retired quality assurance engineer , aged 63 years, and i’m following “Stellar AStrophisics” course at Bologna University; my teacher explained the Degenerate state of the inner of the star; he use Fermi - Dirac equation in a different form that contains the parameter of degeneration “psi”. “PSI” = (1/ KT) * (3n/8*PI) elevated to 2/3.
It is easy to trasform “PSI” = EF /KT so we can obtain the Fermi - Dirac equation in the form u present in the video. In this way the degeneration is correlated not only with T but also with “n” : n° of particle for volume. My teacher present also the diagram for NP (N° of particle with momentum P) related to different “psi” for both “Maxwell” and “fermi-Dirac” distribution with T=cost and different n (N° of particle). If is possible I will appreciate one video for explain better these relationship.
Tha a lot
Carlo Casoli
In India we have system of Guru-Shisya where we respect our teachers like god. After watching your video, I have cleared my doubts pending for over 5 years. Thanks alot for being such an awesome guru
Very clear faultless delivery. Clear graphical explanation.
my god, thank you so much, i'm struggling through my materials science exam thanks to these videos. the audio is good and the pronounciation is totally clear so that non native speakers like me can understand perfectly what's going on. thank you very much!
1.To the point...
2.kill the heavy topic ...
3.pronunciation is awesome ...
Dr Physics is by far the best. I enjoy all his videos.
My God I am a 75 year old Naval Architect. If I had such a wonderful lecture in my 1st year of college I would have been a physicist.
Thank you.
Thanks. I've been thinking of just this for a while but I am still working out how best to explain it in the simple terms I like to achieve. Hope to produce something along these lines soon.
It is in production now. Should be ready in a week or so. Watch this space!
I don't have words for this channel and this very video. You have reignited the passion of a physicist. I have waited for 12-15 years to see something like this.
Respected Professor, Greetings from India!
Your lecture on the basics of Statistical Mechanics is very impressive and has lessened the fear to initiate my studies on Statistical Mechanics. My sincere thanks and appreciations to you! May your service continue to benefit many aspirants of Physics. Thank you!
Dr. R. Arun Kumar, Associate Professor of Physics, PSG College of Technology, Coimbatore, India-
I'll have a think. Several projects in the pipeline at present. Thanks for your kind words.
What a great lecture. I've been listening to my proffesor for like two months and I don't even understand a single thing but you make it clear for only 40 minutes. Keep it up.
such a great video! really helped me understand as my lecturer was rubbish and I couldn't find any good books on it! thank you so much!
Thanks for kind comments. My next video (due early in the new year) is on Analytical Mechanics and will will include the basics of the principle of least action, the Lagrangian and the Hamiltonian.
DrPhysicsA, you are the man. I have an exam on statistical mechanics on monday and you've cleared up a whoooole load of stuff. This one video is more relevant to my syllabus than our entire lecture series. I wish my lecturer were as good as you. Thanks for providing such a clear and intelligible introduction to BE and FD stats!
You make this so much more enjoyable and easier to understand than others do! It comes from a complete understanding of the material from your end. Thanks for the upload!
Thank you for explaining an elusive topic in quite simple terms.
phenomenal explanation.
if there was award for the 'best video ever made that can turn your day around', this video would win.
brilliantly simple way of explaining this concept. thank you. youre a natural educator. simplicity is the ultimate sophistication.
couldn't find a more clear idea of distribution statistics, than this video... thank you very much.
superb work sir,my physics teacher quired me a single differnce bt now m capable off explaining evrything......thanxx alot
wish cud have you as my teacher,who could explain me so fantastically !!!!!
Excellent voice and explanation.
An energy level we does not imply a spatial distance sleep. In other words, the orbits of electrons of high energy are not necessarily further away from the nucleus than those of lower energy. The wave function for the electron provides a probability of its location. That does not have to match its energy.
I have not read any physics in 20 years, yet this was understandable and interesting. Well explained sir!
I love all of your lessons.
thank you for your heritage to humanity.
I watched a lot of videos trying to understand this man, honestly thank you very much, you are an amazing teacher
I am a bit late, but if you are still interested in more essential physics from Bose then the book below is excellent.
Bose and His Statistics. India, Universities Press, 1992.
Thanks. Yes there is a video on Superconductivity which explains that electrons act in Cooper pairs as bosons.
Electrons are allowed to occupy levels between the principle quantum numbers because there are other quantum numbers. eg electrons in the 3s shell are at a lower energy level than those in the 3p level. But both are in the n=3 shell.
I know this from clashing with my precalc teacher (before this I had the same idea), but I did some research and started learning calculus ahead of time, and the concept of the limit helped clear it all up. Thanks for your contributions to the community!
34:07 this was the explanation I have been looking for for months. I always wondered why lower energy states could be occupied even if the temperature was high.
Same.
Good question. My explanation is a bit simplistic to get the general idea across. As you might expect, its really more quantum mechanical than that. Schrodingers Equation is used to identify which energy levels are available and in some cases there will be energy band gaps where no solution exists.
Great intro, Dr Physics. If you get time, do a complete derivation of all three of these with your green pen. I am piecing together the derivations found in other lectures, but I think your style would make it a great set of lectures, and it would be a real service to humanity.
This is an hour and half discussion by our prof yet you made it so simple and more understandable in only 40mins. 😍
You might want to look at my series of 3 videos on Atomic Physics. But, in essence, the Pauli exclusion principle prevents two or more electrons from having exactly the same quantum state. So if you have 1 mole of Cu (6 x 10**23 atoms) each of the 4s states forms a degenerate set of states each of slightly different energy. If the overall range of the degerate states were, say, 10eV, then the difference between successive states would be 10/ 6 x 10**23 eV - which is very small.
Well if it is superconducting then the electrons will not encounter any resistance so there will be no power loss. But if the current is taken out of the system it can do work (but it will then encounter resistance).
Excellent lecture. One small point though...@19:22 when you graph the Maxwell-Boltzmann statistics; note that the graph of the function function e^(-E/kT) will always pass through the point (0,1) for any temperature. That is, when E = 0, you will have f(E)=1 simply because e^(0) = 1.
❤ Thank you Really fruitful explanation
Excellent teacher in the subject of Physics, made simple and lucid flow of concepts, rather difficult to understand by only reading the textbooks! Thanks bro. Love from India.
As a clinician, QM is both a novel and fascinating subject. Your explanations are superb, and i thank you.
You managed to make daunting concepts understandable...Thanks alot
Extremely well explained video, most appreciated. I wish I had discovered this whilst at University doing Physics. Finally beginning to understand some statistical mechanics now!
Clear and simple.Thanks.. From a physocs teacher.
Wow, so simple yet so clear! Thank you so much, this is the first time I really was able to grasp these concepts! Please keep making wonderful physics videos
I've seen you somewhere
You are very clear at explaining things.
Excellent work!
Understood the concept throughly, as usual.....
Thank You
1:02 I hear some physics in the background
Probably the best physics channel in youtube! May I request you to make a video on Lagrangian mechanics please?
Thank you! I needed the basics of the fermi dirac for my Quantum mech class. Keep it up!
'And yes, before you ask, that IS my washing machine making a row in the background' @ 1:30 LMFAO
Just about! I tried to explain/excuse myself for being late using Fermi-Dirac statistics but my boss thought I was probably a bit too big to use quantum mechanics as an excuse for not being allowed to go to work on time. In my mind I had already used up my quantum numbers for the day and did not want to violate Pauli's exclusion principle. Apparently, my body's wavefunction had a wavelength far too short to be even considered for such an excuse. Again, great video and really well explained!!
The term quantum leap probably originated from the idea that electrons do not move gradually from one energy level to another. They are either at one or the other with the implication that they must leap from one to the other. Of course, this is just one of the weirdness aspects of quantum mechanics.
E=kT refers to the average energy but of course the actual energies of the molecules will follow a distribution.
Excellent discussion! Thanks for producing these videos. They are a significant contribution to physics education.
[A minor "typographical" error occurs at about 29:15 where the E - EF at the bottom of the screen should be EF - E. But, everything else goes through fine.]
Tom Snyder I agree regarding the quality of the video, thanks for answering questions which my own teacher is uncapable of answering. Regarding the "typographical" error, I see why you suggests this correction, Snyder, but then it wouldn't correspond to our formula, and basically useless, right? The way to keep it useful in both math and physics would, the way I see it, be to take the numeric value of the exponent when he has made the whole exponentiation the denominator of the denominator. Don't you agree?
I think I understand what you are trying to say, but I just wanted to try and clarify what I hope DrPhysicsA was saying. In general, you are right that the limit approaches infinity or negative infinity depending on which direction to are approaching 0 from, and because these limits are different, we say that anything divided by zero is undefined. However in this context we are only considering the limit as we approach 0 from the positive direction, and so it is appropriate to say x/0 ->infinity
It was reported that they had gone below absolute zero but this was not quite what they had done. There are articles on the web which explain what happened. But absolute zero has not been reached or breached.
thanks dr...u have really explained it very well...even minor details have been explained very well...thanks for sharing ur knowledge..stay blessed
I really liked that wasching machine background noise. Thanks for the lesson
The key point here is that photons are Bosons and those bosons are not restricted by the Pauli exclusion principle. So they can all sit in the lowest energy state.
Your lessons are very nice and thorough, but you do some inaccuracies, that should be dealt with.
The first I noticed is when you plot the Maxwell Boltzmann probability: you plot them parallel to each other, one probability at a lower temperature and another probability at a higher temperature. As the total integral of a probability plot should equal to one, I believe that the two plots should intersect at some temperature. Even if they both diverge at zero temperature, the plot at higher temperature should be "slimmer" near the origin.
A second inaccuracy is when you plot the Fermi sea for copper: your plot is the lower half of the conduction band. All the electrons of the level 4 in copper belong to the conduction band, and the conduction band as a whole is half full, with the full valence band below. With copper, however, the situation is fairly complex, as the lower bands are not completely separated.
However, I listen with much interest to all your lessons, thank you again.
Do you think you could make a video about Lie Groups ?
@ 00:37 MB-distribution deals molecules or atoms; both are distinguishable.
@ 10:51 Not the number of molecules, but the number of molecules PER energy-interval (dE)
Thanks a ton for the analogy.It helped a lot to grip the idea.
Great great....helping a lot to understand FD BE MB statistics ...
Thank you so much, I have to make a display about this three statistics and you saved my life. Saludos desde México.
YEY!
Thanks your kind comments. I am afraid I have never lectured at the University of Nottingham.
nice classes delivered and good in my level of interpretation ........
Best video in Statistical Mechanics
Excellent video. Wish I had found it months ago instead of a week before my exam
Yes, I know, but I don't know for certain that energy level 'leap' implies spatial distance 'leap' - which is obviously paradoxical if true. Can you confirm that the latter is implied by the former ?
brilliant - going to recommend these to my students as I think they are better than my lectures :P
Excellent demonstration.
Excellent stuff and thanks very much.
Couple of quick questions; 1. Is the Fermi level always defined relative to absolute zero ie; is it a constant in any given material? Also if you have a moment could you explain superconductivity in this context. It would seem that superconductivity would imply that there were more electrons in the conductivity band at lower temperatures but obviously that's not the case if they're all stuck in the valance band.
Kevin
Also, would it be correct to think of M-B as "the prob of a molecule having a certain energy (ie, KE)" while F-D and B-E as "the prob of a particle occupying a certain state"? My interpretation of what you taught is that not all three gives the prob of state occupation, only the last two. Sorry, if I'm wrong. :P
thank u sir that's teaching is another level
I think it would be great if you could do a more detailed video on how Maxwell developed his statistics. It seems to me that this is a key concept in the understanding of how physics evolved as the UV catastrophe was based on the application of these statistics. I viewed many videos but these have tended to be highly technical .
Thanks a lot sir. This is pehaps teh best vid on Fermi-Dirac. I got it eventually :)
Another home run favorite, Doc. I've been following your progress here and it seems you meet each new challenge/request with the expected payoff. I'd say accessable but not dummied down is your admired signature. Since it seems like your taking selected, cough cough, requests, may I request one? I have recently come across the Dirac equation and could use a tutorial with your unique approach. I think this is important because it derives from the SE equation and predicts Spin and antimatter.
Thank you ! Your lessons are very clear and your accent is understandable by a french guy :)
What I do not understand is the link between N(E) curves and Boltzman statistics ? For N(E) curves, N=0 when E=0 while N=1 when E=0 for Boltzman statistics ...
now I can understand statistical mechanics
sai teja This is a very basic introduction. To apply it, it's a lot more involved
what an explanation...mind blowing ,, ur alien really
Thank you!!! Great video; the simple language and easy pace is perfect to grasp the concepts.
Thank you so much sir for brilliant explanation
I think I've seen this pointed out on other videos of yours, and it doesn't really detract from the point you're making, but I'm afraid that we cannot all agree (~17:00) that as x --> 0, y=1/x --> ∞. It is certainly true as x tends to 0 from the right, but as x tends to 0 from the left the story is quite different. Regardless, wonderful, wonderful videos you've got here.
That's really good explanation.
Thanks a lot.....
Nice video. But to my understanding, the first plot should show the exponential decay - a longer tail at the right side rather than a normal distribution.
What is explained is explained well. Regrettably, what is not explained is what the title leads one to expect. The way the FD and BE distributions (or the MB) are generated is mathematics but based on the distinguishability and the packaging of the available states. That, I find, important in understanding the application of the physics to getting the statistics.
Sorry. Missed this. I assume your point is that each superconducting plate could hold an infinite charge. I'm not sure about the theory here. Anyone else know?
Why is there two distribution graphs for the M-B distribution? You drew one that looks like a Gaussian distribution and then, some time later, another one that looks like an exponential decay function. Which one is it? Thanks!
I would love to see the derivation of MB distribution by DrPhysicsA.
Oh wow it was worth watching just for the new understanding of the reciprocity of zero and infinity!! 🙏
From a lay point of view this seems to go "against" super conductivity at very cold temperatures as the lower the temperature the less eletrons are available in the conducting band. I am sure there is a good explanation for super conductivity and you may even already addressed that but I did not see all your videos (yet!).
Anyway I find your videos very good, so keep up with the great job!
Question about the condensation. It sounded like you were saying that a system of N bosons reduces to a system of 1 boson when it is observed at the lowest level. Did I follow that correctly?
Thankyou so much for this, what an amazing video
Thank u alot really, your description is free simple
How does the Bose-Einstein Condensate condense? Even though Helium-4 are Bosons, don't the electrons still repel the other Helium 4 atoms. How do they get close enough so that their wave function overlap and make BEC?