hokhani's latest activity
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Hhokhani replied to the thread I Visual depiction of atomic orbitals.Sorry, I don't know which example do you mean? As far as I understand, the spherical harmonics ##\gamma_l^{m}## are atomic orbitals...
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HThe wavefunction of an atomic orbital like ##p_x##-orbital is generally in the form ##f(\theta)e^{i\phi}## so the probability of the...
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Hhokhani reacted to JimWhoKnew's post in the thread A Angular momentum uncertainty principle and the particle on a ring with
Like.
Classically, if the ring is not in the X-Y plane then the particle's rotation is not about the Z-axis. Assuming constant ##\left|\vec... -
Hhokhani replied to the thread A Angular momentum uncertainty principle and the particle on a ring.Also in classical view, when a particle is rotating about z-axis, the x,y components of angular momentum are not zero. They are zero in...
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Hhokhani reacted to JimWhoKnew's post in the thread I Validity of identical eigenfunction of commutating operators with Like.
As @PeroK replied in #8, nothing is wrong with #7. Only basis states are considered there. But your ##\psi## in OP (#1) is a...
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Hhokhani replied to the thread I Phase and group velocity for the wave function.Please see "Solid State Physics", by Giuseppe Grosso, Giuseppe Pastori Parravicini, chapter 1, Eq. (1.71). It is interesting that in the...
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Hhokhani replied to the thread I Validity of identical eigenfunction of commutating operators.Could you please see the post #7? It approves more the discrepancy said in the post #1.
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Hhokhani replied to the thread I Validity of identical eigenfunction of commutating operators.However, in the post #1, I sent the function ##\psi=f(r,\theta) e^{im\phi}## which is always the eigenfunction of ##\hat{\mathbf{L_z}}##...
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Hhokhani reacted to JimWhoKnew's post in the thread I Validity of identical eigenfunction of commutating operators with Like.
Consider$$A=\begin{pmatrix}1&0\\0&2\end{pmatrix}$$and the identity ##2\times2## matrix ##I##...
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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...
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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...