I watched around 20 lectures of this series and found out that the best book to go with the course is none other than Volume 3 Feynman lectures. Balakrishnan has the mathematical rigour and Feynman has the physical insight. The combination rocks.
I remember these blowing my mind 11 years ago (we had an incredible Quantum Mech prof in Dr. Abhinav Gupta, but we unfortunately couldn’t rewind his lectures).
Me too!!! But thankfully I could crack railway exam for CMA... You should try such exams too on public sector that asks for physics post graduation or graduation
For those having slight issues with duals, dual of a vector space is the set of all linear forms of the vector space, where a linear form of the space is a mapping of all unique elements of the space to a single element from a set of scalars. Thus the set of all linear forms as in transforms/ mappings is the dual of the vector space. Now since linear transforms can always be represented by vectors or matrices, thus the transpose of a row vector is in itself a linear form of the vector as it maps it to a scalar. Thus sir refers to the transpose as an element of the dual of the linear vector space. Great lecture, I return to freshen memory every now and again, truly a treasure.
This is a great lecture series to watch along side Leonard Susskind's Quantum mechanics series on the Stanford channel. I wish they'd get the rest of the lectures up soon. Happy New Year!
Very nice explanations by Prof. Balakrishnan. He explains such an abstract concept with a very simple manner without diminishing the substantial contents. Thank you, Professor!
His son Hari Balakrishnan and daughter hamsa balakrishnan are professors in Computer Science and Aerospace Engineering Departments of MIT. You got believe this guy, he knows the meat pretty well. His wife used to be working in IMSC which is pretty renowned for doing the physics stuff. Have fun and njoy his lectures. He is my guru and now I am in OSU
I find him quite easy to understand. The material itself gets tough, so there's a limit to how easy you can make it. I really like his style of teaching though.
@AtomosDemocritus Thanks for the info! This is what I am working on the Linear vector space ǀΨ > forms the time line for the object or observer in their own reference frame. The quantum w-particle function is a vector for a moving object increasing its mass and slowing time down.
I could not leave the lecture without leaving a comment, which I seldom do. Sir U r genius, fantastic explanation. My favourite proffessor is RAMAKANTH in kakatiya university. Very similar to your lecture sir in almost every way as ur lecture Thank you sir
I find prof. Shankar morw fun and fluent in math-physics . He also will make u understand where the formula comes from with physics explanation . He adds variables as he goes with logical explanation along side untill picture completes..
@@janapratimdevgoswami3431 yes super good. But third world countries lag behind because math is tought in abstract form. Math must be tought in such a way its application is demonstrated to studenta. The student will love it. Application of math is what makes students love it .
@@MrAzizisse Actually I found it the opposite of what you said to be true in India. Like here Math is taught only in terms of how to use it in physics or any other stuff there is no basis or relevance to pure abstract math here unlike in western countries
Superb - many thanks to Prof. Balakrishnan and IIT. Minor correction though: At 0:27:00 he is wrong when saying that the functional S_psi forms a vector space. It is the set of all S (not just S_psi) that form the dual vector space. The confusion continues for a while, but at 0:31:50 one of the students has spotted the problem and apparently (question is inaudible) asks for a clarification. The answer seems to be wrong at first, but from 00:32:10 to 00:32:25 the statement is correct.
I do know all the things and all our concepts will turn out wrong if try to push to ultimate consistence......but I can tell all our manufactured physics you are such an amazing mentor for it sir Thank you Sir
@AtomosDemocritus It does seem fitting somehow, in just the same way we have gravitational time dilation around objects of great mass and we also have time dilation when an object accelerates and mass increases. I think this has more to do with the wave nature of energy and mass than two different types of w-function. Nick
@AtomosDemocritus This is what I was thinking each scalar would be formed by adding the two previous scalars together and if the process was continuous, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?
It is very easy as logic but hard as notation. It takes more time as physicist but rather less as mathematician. probably conjugate variables, with optimal uncertainty.
Say we are finding the dual space of R^n, take an element in R^n which looks like (x1,x2,....,xn)^t (meaning transpose), somehow we have to find a way of associating another vector to this to produce a scalar. We do this by taking the row vector (y1,y2,...,yn) and multiply to the above vector. In this process i have taken the entire original column vector X as the reference in the vector space and found a dual. The process never requires you to multiply x1 to all y1,y2.. etc.
@DanFrederiksen Please investigate the fundamental courses on linear algebra and then observe the lecture. A basic knowledge of fundamental math is assumed in a lecture on quantum physics. Good luck.
Can any Indian explain if the song is a prayer? Which is its language? What would be its English translation? ??? ??? Besides these, they are really very useful lectures
Karka kasadara is from sacred kural Tamil better than Sanskrit prayer Karka kasadara means learn doubt free and error free.Both for Teacher as well as students it is also universal.Dont worry about Sanskrit slokam none understands in India too.sir Ing Louis Brando Sanskrit is not the mother tongue of anyone in India including Brahmins who uses to chant mantras in temples.
Its the Vedic chant which means ..... Om Saha Naav[au]-Avatu | Saha Nau Bhunaktu | Saha Viiryam Karavaavahai | Tejasvi Naav[au]-Adhiitam-Astu Maa Vidvissaavahai | Om Shaantih Shaantih Shaantih || Meaning: 1: Om, Together may we two Move (in our Studies, the Teacher and the Student), 2: Together may we two Relish (our Studies, the Teacher and the Student), 3: Together may we perform (our Studies) with Vigour (with deep Concentration), 4: May what has been Studied by us be filled with the Brilliance (of Understanding, leading to Knowledge); May it Not give rise to Hostility (due to lack of Understanding), 5: Om Peace, Peace, Peace.
Don't phi and xi have to live in the same space for the inner product to be defined on a bigger Hilbert Space? Are V and V~ subspaces of a bigger space? Maybe he clarifies this.....patience!
Question, If we have to add two vectors together to get a new vector don’t we create the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?
english is the common language of india, everyone comes to these iits from different states, and not everyone understands madras local language, but everyone does understand english :)
doubt: In theory while defining bra vector set we said that we take a reference element say φ and apply it on each element vector in the space to produce a scalar such that it satisfies those 2 conditions. How can matrix multiplication be an example of this? In matrix multiplication say we do x1y1+x2y2+...... so we dont apply x1 on all y1,y2,.... and x2 on y1,y2,....
sir iam from hp ihave a equation that found that light has dual nature for some time at a point that is called by me indiantrone away from this point light has only partcal nature
there is a lecture this same prof. Balakrishnan gave where at the first 20 mins of the lecture, he explained why quantum mechanics doesn't appear intuitive to us. he explained that it is because we evolved in the middledimensions. can anyone give me a link to that?
Is it correct to say that the appearance of uncertainty when trying to quantify a canonically conjugate pair of system variables is the intrinsic nature of the mechanism adopted to probe the system?
Not true. I was kidnapped by Hizballah and held in captivity for several years in the mid 1980's. Every afternoon, a masked man put a gun in my mouth and forced me to watch this video. Ironically, it was the best part of my day. My hat off to you, Professor V. Balakrishnan.
The set of linear maps from a vector space to the field (usually R or C) is also a vector space. This space is called the dual vector space. See here: en.wikipedia.org/wiki/Dual_space
Starting with "an element of the original LVS" (= a column-vector = a ket-vector) you can only produce a SCALAR by multiplying it with "an element of the dual LVS" (= a row-vector = a bra-vector). In other words, a (1xn)-matrix multiplied by an (nx1) = a (1x1-matrix = a scalar. Listen carefully from here: 43:08
Language is Sanskrit. The literal meaning is: "OM. Let all of us protect each other together, may all of us enjoy together, may all of us work together and let our study become radiant. Let there be no hatred between us, OM Peace, Peace, Peace"
I am a prof in Japan. He is very nice teacher indeed.
I like his lectures just for inspiration!
Do you teach the same math and same proofs ?
@@MrAzizisse research and teach physics.
@@MrAzizisse Yes I need to teach some of that stuff.
even after 10 years students like me are referring his lectures 🙌
@@jceepf u are still active after 10 years , life changed isnt it?
teacher who really listen questions of students carefully and patiently. this man himself a true definition of TEACHER. Respect and lots of love
I watched around 20 lectures of this series and found out that the best book to go with the course is none other than Volume 3 Feynman lectures. Balakrishnan has the mathematical rigour and Feynman has the physical insight. The combination rocks.
+pagalsona absolutely........
That book has no serious mathematics in it.
@@Vyaghrasena yes it lacks mathematical rigor but very good for developing intutions
hello sir
I remember these blowing my mind 11 years ago (we had an incredible Quantum Mech prof in Dr. Abhinav Gupta, but we unfortunately couldn’t rewind his lectures).
He is a very good Mathematician! His lectures on Quantum Mechanics are awesome!
Yeah bulky is awesome! :)
Yeahhhh...... At the end of the day.. those lectures are our dependence :D :P
Hmm bujhte parchhi :D
Swarnali Hait he is a physicist
@@swarnalihait7201 kintu dukher bishoi ei bochor Ami IITM e MSc admission niyeo onake Akbar o dekhte pai ni ..
I wish I have professor like you during my degree so that i m not preparing for banking exams
Me too!!! But thankfully I could crack railway exam for CMA... You should try such exams too on public sector that asks for physics post graduation or graduation
@@sangeethavarmaa3628 which exams are there for physics postgraduate recruitment?
Hahaha, good luck with the exams!
Me too😔
Hehe
For those having slight issues with duals, dual of a vector space is the set of all linear forms of the vector space, where a linear form of the space is a mapping of all unique elements of the space to a single element from a set of scalars.
Thus the set of all linear forms as in transforms/ mappings is the dual of the vector space. Now since linear transforms can always be represented by vectors or matrices, thus the transpose of a row vector is in itself a linear form of the vector as it maps it to a scalar. Thus sir refers to the transpose as an element of the dual of the linear vector space.
Great lecture, I return to freshen memory every now and again, truly a treasure.
Excellent lectures! Thank you! I wish PowerPoint lectures weren't so widely used; the blackboard (or whiteboard) is always better, in my opinion.
sad corona noices
he is one of the best profs in India!
hello after 12 years ;)
@@rahulkiroriwal8779 hello after 8 months 😆
@@ankitaaarya hello after 2 years
@@anirbanmandal3123 hello after 2 days :/
@@anirbanmandal3123 we are the same
The best teachers teach from the heart. Thank you for all that you do❤🇮🇳
This is a great lecture series to watch along side Leonard Susskind's Quantum mechanics series on the Stanford channel. I wish they'd get the rest of the lectures up soon. Happy New Year!
I think Susskind's lectures are less descriptive and detailed compared to the NPTEL lectures.
I really like this profesor. I think this is the best quantum mechanics lecture available. 👌
Very nice explanations by Prof. Balakrishnan. He explains such an abstract concept with a very simple manner without diminishing the substantial contents.
Thank you, Professor!
His son Hari Balakrishnan and daughter hamsa balakrishnan are professors in Computer Science and Aerospace Engineering Departments of MIT. You got believe this guy, he knows the meat pretty well. His wife used to be working in IMSC which is pretty renowned for doing the physics stuff. Have fun and njoy his lectures. He is my guru and now I am in OSU
Can I have your email ID? I want to ask some questions regarding MS and PhD
I find him quite easy to understand. The material itself gets tough, so there's a limit to how easy you can make it. I really like his style of teaching though.
Hi bro....
this gentleman is very well educated.this video is a big help. Thanks
@AtomosDemocritus Thanks for the info! This is what I am working on the Linear vector space ǀΨ > forms the time line for the object or observer in their own reference frame. The quantum w-particle function is a vector for a moving object increasing its mass and slowing time down.
thank you sir .......!! you made my concepts clear on vector spaces
thanks alot.....!!
BEST PROFESSOR EVEEERRRR!!!
this series is highly recommend for anyone want to study qm
without any doubt, his lectures are awesome...😌
awesome lecture, great camera work
Not arbitrarily, rather it's comparably awesome....Great job.
I Really Like The Video Lecture 2 Introduction to linear vector spaces From Your
Thanks sir for giving this video on you tube...
i understood many terms from your lecture.Thank you very much
I could not leave the lecture without leaving a comment, which I seldom do.
Sir U r genius, fantastic explanation.
My favourite proffessor is RAMAKANTH in kakatiya university. Very similar to your lecture sir in almost every way as ur lecture
Thank you sir
A good intro. to functional analysis, thank you.
The classic professor in physics
great lecture! really helpful, thanks
I find prof. Shankar morw fun and fluent in math-physics . He also will make u understand where the formula comes from with physics explanation . He adds variables as he goes with logical explanation along side untill picture completes..
thank you, both are great
@@janapratimdevgoswami3431 yes super good. But third world countries lag behind because math is tought in abstract form. Math must be tought in such a way its application is demonstrated to studenta. The student will love it. Application of math is what makes students love it .
@@MrAzizisse Actually I found it the opposite of what you said to be true in India. Like here Math is taught only in terms of how to use it in physics or any other stuff there is no basis or relevance to pure abstract math here unlike in western countries
never seen a text book from India with applications section unlike the text books from USA.
Preparing for M.sc physics Third paper by watching your lecture.
Balki sir ❤️❤️❤️❤️❤️❤️🙏🙏🙏🙏
For vector spaces, go to 8:15
Thank you
Superb - many thanks to Prof. Balakrishnan and IIT. Minor correction though: At 0:27:00 he is wrong when saying that the functional S_psi forms a vector space. It is the set of all S (not just S_psi) that form the dual vector space. The confusion continues for a while, but at 0:31:50 one of the students has spotted the problem and apparently (question is inaudible) asks for a clarification. The answer seems to be wrong at first, but from 00:32:10 to 00:32:25 the statement is correct.
Thanks ! That confused me too and had to rewind 10 mins. Still wasn't clear. Your comment is what I concluded about it as well.
I do know all the things and all our concepts will turn out wrong if try to push to ultimate consistence......but I can tell all our manufactured physics you are such an amazing mentor for it sir
Thank you Sir
@AtomosDemocritus It does seem fitting somehow, in just the same way we have gravitational time dilation around objects of great mass and we also have time dilation when an object accelerates and mass increases. I think this has more to do with the wave nature of energy and mass than two different types of w-function.
Nick
This is excellent.
Thoroughly enjoyed this. Thanks you boss man 💪🏿
another excellent lecture--thanks (nice to be able to re-play the video until it sinks in)
Quantum mechanics , I'm loving it!!!
@AtomosDemocritus I have read that scalar have gauge symmetry they look the same whichever angle you view them, just like a sphere!
Great Prof. Easy to follow for hard subject
thank you very much
By 29:00 I thought I was confused, but seems everyone in the video had questions about LVS so I don't feel bad now...
@AtomosDemocritus This is what I was thinking each scalar would be formed by adding the two previous scalars together and if the process was continuous, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?
@DanFrederiksen It is recitation of shanti mantra from Taittiriya Upanishad
It is very easy as logic but hard as notation. It takes more time as physicist but rather less as mathematician. probably conjugate variables, with optimal uncertainty.
sir great work, you are best
He's such an awesome teacher
Does Prof Balakrishnan has lecture series for electromagnetic theory?
Say we are finding the dual space of R^n, take an element in R^n which looks like (x1,x2,....,xn)^t (meaning transpose), somehow we have to find a way of associating another vector to this to produce a scalar. We do this by taking the row vector (y1,y2,...,yn) and multiply to the above vector. In this process i have taken the entire original column vector X as the reference in the vector space and found a dual. The process never requires you to multiply x1 to all y1,y2.. etc.
@DanFrederiksen Please investigate the fundamental courses on linear algebra and then observe the lecture. A basic knowledge of fundamental math is assumed in a lecture on quantum physics. Good luck.
Balakrishna has the mathematical rigor🔥🔥🔥
I never assumed that learning quantum mechanics is so easy.
Can any Indian explain if the song is a prayer? Which is its language? What would be its English translation? ??? ??? Besides these, they are really very useful lectures
yes... sanskrit... this is a prayer for seeking knowledge for both student and the teacher...
Karka kasadara is from sacred kural Tamil better than Sanskrit prayer Karka kasadara means learn doubt free and error free.Both for Teacher as well as students it is also universal.Dont worry about Sanskrit slokam none understands in India too.sir Ing Louis Brando Sanskrit is not the mother tongue of anyone in India including Brahmins who uses to chant mantras in temples.
@@elamvaluthis7268 thanks for taking the time for answering this. Best regards.
Its the Vedic chant which means .....
Om Saha Naav[au]-Avatu |
Saha Nau Bhunaktu |
Saha Viiryam Karavaavahai |
Tejasvi Naav[au]-Adhiitam-Astu Maa Vidvissaavahai |
Om Shaantih Shaantih Shaantih ||
Meaning:
1: Om, Together may we two Move (in our Studies, the Teacher and the Student),
2: Together may we two Relish (our Studies, the Teacher and the Student),
3: Together may we perform (our Studies) with Vigour (with deep Concentration),
4: May what has been Studied by us be filled with the Brilliance (of Understanding, leading to Knowledge); May it Not give rise to Hostility (due to lack of Understanding),
5: Om Peace, Peace, Peace.
extremely well articulated
Don't phi and xi have to live in the same space for the inner product to be defined on a bigger Hilbert Space? Are V and V~ subspaces of a bigger space? Maybe he clarifies this.....patience!
I think there would be two moduli on the right hand side of Cauchy Schwarz inequality
Question, If we have to add two vectors together to get a new vector don’t we create the Fibonacci sequence 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ad infinitum?
great work
Thank you sir it's really amazing
Can the embedded uncertainties in quantum mechanical observables be attributed to only the scales we are trying to probe ?
How do we experimentally measure the momentum of an electron?
english is the common language of india, everyone comes to these iits from different states, and not everyone understands madras local language, but everyone does understand english :)
Thank you very much for such a good lecture.
doubt: In theory while defining bra vector set we said that we take a reference element say φ and apply it on each element vector in the space to produce a scalar such that it satisfies those 2 conditions.
How can matrix multiplication be an example of this? In matrix multiplication say we do x1y1+x2y2+...... so we dont apply x1 on all y1,y2,.... and x2 on y1,y2,....
May God bless you sir
Any advice for other Indian physics instructor to watch?
For an electron in a 3D space, how do we experimentally find one position co-ordinate while not affecting the other two?
I guess it is the same principle of independence of movement from Galileu. The coordinates are independent.
finally I understand dual space
kinda
1:01:15
:)
Great lectures Prof.V.Balakrishnan.
Thank you!
Perfection 👩🏫👩🏫👩🏫👩🏫
Thank you very much sir🥳🥳🥳🥳
Just Fantastic 😊
@Mahala Widget: Can you stop spamming? If you don't like the lecturer, then get lost and enjoy your Popular Sciece nonsense!
Exalent
I learn lot of concepts ,very good lectures.
Thankyou sir!
very nice series
sir iam from hp ihave a equation that found that light has dual nature for some time at a point that is called by me indiantrone away from this point light has only partcal nature
there is a lecture this same prof. Balakrishnan gave where at the first 20 mins of the lecture, he explained why quantum mechanics doesn't appear intuitive to us. he explained that it is because we evolved in the middledimensions. can anyone give me a link to that?
I don't know exactly but this might help you
ruclips.net/video/wzoPHorPwis/видео.html
Is it correct to say that the appearance of uncertainty when trying to quantify a canonically conjugate pair of system variables is the intrinsic nature of the mechanism adopted to probe the system?
At least it sounds good ;-) In my opinion, the uncertainty is there until you make a measurement.
Amazing guy!
i think definition of dual space is little confusing
very nice lecture
awsome... thk u sir...
His son is also a professor
Hey, thank you a lot, buddy. So long...
Nice lecture
Is f(x,xdot,t) a functional Any examples sir ?
how can a set of real numbers be a vector space? i mean if real numbers are vectors?🤔🤔
Ashu Attri ya u can think of it like that one dimensional vector
sir pls upload video in FULL HD
can we read this lecture in quantum mechanics and mathematical physics ???
You're right. There is no common language in India. There are more 30 languages and the common standard at colleges and universisites is English.
Not true. I was kidnapped by Hizballah and held in captivity for several years in the mid 1980's. Every afternoon, a masked man put a gun in my mouth and forced me to watch this video. Ironically, it was the best part of my day. My hat off to you, Professor V. Balakrishnan.
Does anyone know which book Sir is following?
Sir please suggest good book for this
makes quantum mechanics look like an organic whole...hmm i'll just shut up and calculate anyways.
I watched this lecture 5 times but I can't understand what is Dual of LVS.
A vector in lvs which has components which are complex conjugate of original vector components
The set of linear maps from a vector space to the field (usually R or C) is also a vector space. This space is called the dual vector space. See here: en.wikipedia.org/wiki/Dual_space
Starting with "an element of the original LVS" (= a column-vector = a ket-vector) you can only produce a SCALAR by multiplying it with "an element of the dual LVS" (= a row-vector = a bra-vector). In other words, a (1xn)-matrix multiplied by an (nx1) = a (1x1-matrix = a scalar. Listen carefully from here: 43:08
9:48
Language is Sanskrit. The literal meaning is: "OM. Let all of us protect each other together, may all of us enjoy together, may all of us work together and let our study become radiant. Let there be no hatred between us, OM Peace, Peace, Peace"
Good