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Thanks for the video. Is that the fact that instead of a Dirac delta (centered at k0) as the Fourier transform (momentum space wave function) you obtained a sinusoidal function of p, an artifact of limits of integration? I mean "a" instead of infinity? Because Fourier transform of a pure frequency signal (in x or t space) should be delta function centered at that frequency (in p or f space) , if I understand correctly.
very straightforward, but shallow lecture… no depth provided for insight at all.. without understanding functional orthogonality, projection of wave function upon orthonormal basis, inner product and all other key properties of Hilbert space this material remains for students, viewers undiscovered mystery that just needs to be memorized, copied and pasted…
Although very important, none of those topics are absolutely necessary to get an introduction to momentum space representation, Except Fourier transform. So that's what I did, I used the standard result of Fourier transform to give an introduction to a very important topic, for beginners. Maybe later we can go into all the topics you mentioned. My responsibility as a teacher is to walk, one step at a time, and not overwhelm the students which is counter productive to learning
@@kiransubba1183 given that you are so arrogant and ignorant to critics, seemingly you don’t read books yourself.. or it is pointless for you read any book anyway. Hilbert vector space, orthonormality, linearity are fundamental features in quantum physics: read your books and watch any physics courses. But, first, learn how to be humble, patient and polite. Then start to learn science. Not vise versa.
@@kiransubba1183 even Fourier Series expansion is nothing, but expansion (or linear superposition) of an arbitrary function over the orthonormal basis of infinite dimension (sines and cosines wave components are orthogonal to each other, except the case when its frequencies are the same). In similar manner, any superposition state in quantum physics can be expanded this way as a series over its orthonormal basis (eigenfunctions) regardless of operator and its associated observable. These concepts should have been introduced by a teacher initially. Without them, how could you explain a probabilistic nature of quantum mechanics?
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Physics IIT-JAM 2025, TIFR & JEST Batch starting JUNE 22
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Please continue adding lectures on Quantum Mechanics ❤
Such a brilliant teacher
best lecture
Helped me a lot, thank you so much
Sir please we need atomic courses if you can .
Thank you so much for your help in previous subjects
Thank you so much sir for continuing this lect series❤
Thanks for the video. Is that the fact that instead of a Dirac delta (centered at k0) as the Fourier transform (momentum space wave function) you obtained a sinusoidal function of p, an artifact of limits of integration? I mean "a" instead of infinity? Because Fourier transform of a pure frequency signal (in x or t space) should be delta function centered at that frequency (in p or f space) , if I understand correctly.
Sir I'm for very grateful to you for these type of crystal clear conceptual lectures, but sir please make one video/ week atleast 🙏🙏
Sir, the website link, please.
Video k chkkar me ad dikha di 😂😂😂
very straightforward, but shallow lecture… no depth provided for insight at all.. without understanding functional orthogonality, projection of wave function upon orthonormal basis, inner product and all other key properties of Hilbert space this material remains for students, viewers undiscovered mystery that just needs to be memorized, copied and pasted…
Although very important, none of those topics are absolutely necessary to get an introduction to momentum space representation, Except Fourier transform. So that's what I did, I used the standard result of Fourier transform to give an introduction to a very important topic, for beginners. Maybe later we can go into all the topics you mentioned. My responsibility as a teacher is to walk, one step at a time, and not overwhelm the students which is counter productive to learning
Well how much should a teacher spoon feed u,read books
@@kiransubba1183 given that you are so arrogant and ignorant to critics, seemingly you don’t read books yourself.. or it is pointless for you read any book anyway. Hilbert vector space, orthonormality, linearity are fundamental features in quantum physics: read your books and watch any physics courses. But, first, learn how to be humble, patient and polite. Then start to learn science. Not vise versa.
@@kiransubba1183 even Fourier Series expansion is nothing, but expansion (or linear superposition) of an arbitrary function over the orthonormal basis of infinite dimension (sines and cosines wave components are orthogonal to each other, except the case when its frequencies are the same). In similar manner, any superposition state in quantum physics can be expanded this way as a series over its orthonormal basis (eigenfunctions) regardless of operator and its associated observable. These concepts should have been introduced by a teacher initially. Without them, how could you explain a probabilistic nature of quantum mechanics?