hokhani's latest activity
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Hhokhani reacted to PeroK's post in the thread I Validity of identical eigenfunction of commutating operators with
Like.
All Hermitian operators commute with ##I##. And every vector is an eigenvector of ##I##. This is wrong. There must be a common... -
Hhokhani replied to the thread I Validity of identical eigenfunction of commutating operators.Sorry, you are right.
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Hhokhani replied to the thread I Validity of identical eigenfunction of commutating operators.Thanks, but let's write the commutation in the nondegenerate basis of ##\hat {\mathbf L_z}##, i.e., ##|m\rangle##. We have: $$\langle m|...
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Hhokhani replied to the thread I Validity of identical eigenfunction of commutating operators.Thanks, but by operators I meant Hermitian operators.
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Hhokhani replied to the thread I Direction of time-evolution in time reversed wave functions.Please see the figure in the link: https://i.postimg.cc/F15gwHgr/TR.png The motion of a falling particle is shown in direct time and...
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Hhokhani reacted to Nugatory's post in the thread I Validity of identical eigenfunction of commutating operators with Like.
If two operators commute, then at least some of the eigenfunctions of one will be eigenfunctions of the other - but not necessarily all...
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Hhokhani posted the thread I Validity of identical eigenfunction of commutating operators in Quantum Physics.I got confused about an elementary statement in quantum mechanics: As far as I know, the two commuting operators like ##\hat {\mathbf...
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Hhokhani replied to the thread I Direction of time-evolution in time reversed wave functions.Thanks, but suppose you take a movie from time ##0## to ##t##. If you run it backwards, in fact you are playing the frames back from...
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Hhokhani replied to the thread I Phase and group velocity for the wave function.You say that the contribution of the components with k far from the peak of α(k) (at ##k_0##) is negligible and the wave pocket moves...
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Hhokhani replied to the thread I Direction of time-evolution in time reversed wave functions.Thanks, it was a very good elementary source. But I didn't find there the answer to my question. let me explain clearly: In the...
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Hhokhani replied to the thread I Direction of time-evolution in time reversed wave functions.Thank you for attention to this matter. The function ##\psi_r(t)## implies time reversed wave function at ##-t##. Also, I didn't see...
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Hhokhani reacted to JimWhoKnew's post in the thread I Phase and group velocity for the wave function with Like.
The group velocity is often motivated (and justified) by the stationary phase approach. It goes something like this: Consider a wave...
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Hhokhani posted the thread I Direction of time-evolution in time reversed wave functions in Quantum Physics.Consider the time reversal operator as ##\Theta## so that ##\psi_r(t)=\Theta \psi(t)## where ##\psi_r(t)## is time reversed of...
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Hhokhani replied to the thread I Phase and group velocity for the wave function.Thank you very much. If my post #9 is correct, then ##v_g(k)=\frac{\partial \omega}{\partial k}=\frac{\hbar k}{m}=2 v_{ph}(k)## because...
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Hhokhani reacted to div_grad's post in the thread I Phase and group velocity for the wave function with Like.
@hokhani You're wrong when you claim in post #7 above that the group velocity is the average phase velocity. To resolve this, let us go...