I am PG qualified in political science and international relations..... Please.. continue sir.... due to financial problems I didn't study science but I am much more interested in Quantum mechanics....😢😢😢
Free particles, being plane waves, are the "elementary particles" of quantum mechanics. From them one can build more localized particles like wave packets and delta functions. The energy (E = h . f) of a free particle is well-defined because it only has 1 frequency (or wavelength). The price we pay for that is that it is completely delocalized.
Can you, please, explain the time evolution of a free particle at which the spread of Gaussian distribution increases at t>0? Why the continuous bandwidth of a linear combination of frequencies (p=hk) would expand over time (dispersion effect)? What this physically means for a particle such as electron or light waves?
Hi, Sir, I was actually doing something advanced and calculating the free particle kernel via path integral. The probability density I get from that Is SAME as what I got when I calculated it for a particle under a constant force..Can you comment on why the case of a free particle and a particle under a constant force is the same as far as position space probability density is concerned?
If a particle is under a constant force then the potential is nothing but a real constant valued function and hence it will give the same results but there's going to be some difference the wavefunction will have exponential and oscillating functions to make it normalized
Hi Ankit, I appreciate your request. Since I already started this QM series in English, I think it's best I finish it similarly. In future I might do a lecture series on Hindi, if there's enough students who would prefer that
In Physics, object's motion is always studied wrt a frame of reference. That has nothing to do with being "free" which simply means it's not experiencing any external force
I am PG qualified in political science and international relations.....
Please.. continue sir.... due to financial problems I didn't study science but I am much more interested in Quantum mechanics....😢😢😢
Thank you sir for this beautiful explanation
Free particles, being plane waves, are the "elementary particles" of quantum mechanics. From them one can build more localized particles like wave packets and delta functions. The energy (E = h . f) of a free particle is well-defined because it only has 1 frequency (or wavelength). The price we pay for that is that it is completely delocalized.
Please make a video on Schrödinger equation periodic potential solution, bloch function, electron bands etc.
Wonderful, thanks
Great explanation!
it was really a great explaination for free particle!!
Please make lecture series on general theory of relativity
Wonderful lecture sir
wonderful lecture...
Can you, please, explain the time evolution of a free particle at which the spread of Gaussian distribution increases at t>0? Why the continuous bandwidth of a linear combination of frequencies (p=hk) would expand over time (dispersion effect)? What this physically means for a particle such as electron or light waves?
sir, It would be really helpful if you could make a video lecture on Particle in a simple harmonic oscillator potential.
Will do, soon
Hi, Sir, I was actually doing something advanced and calculating the free particle kernel via path integral. The probability density I get from that Is SAME as what I got when I calculated it for a particle under a constant force..Can you comment on why the case of a free particle and a particle under a constant force is the same as far as position space probability density is concerned?
If a particle is under a constant force then the potential is nothing but a real constant valued function and hence it will give the same results but there's going to be some difference the wavefunction will have exponential and oscillating functions to make it normalized
Dibs is cool
If the plane wave solution is treating the particle like a wave then shouldn’t it be normal for it to get a different velocity than the particles.
Sir Hindi me bhi upload kariye plzzz..... हम आपके द्वारा दिए गए ज्ञान के प्यासे हैं,🙏
Hi Ankit, I appreciate your request. Since I already started this QM series in English, I think it's best I finish it similarly. In future I might do a lecture series on Hindi, if there's enough students who would prefer that
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👍👍👍
How can a "free" particle be travelling?
Relative to what? The observer?
If it is relative to ANYTHING, then it is NOT free!
In Physics, object's motion is always studied wrt a frame of reference. That has nothing to do with being "free" which simply means it's not experiencing any external force
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Sir in hindi
First😊
Wonderful lecture sir