hokhani's latest activity
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Hhokhani reacted to WernerQH's post in the thread I Energy*time uncertainty for particle decay with
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I think the first alternative is better, but it depends on how you define ΔE and Δt. For ## \Delta t ## it is customary to use the... -
Hhokhani replied to the thread I Commutation of operators for particle in a box.I look for the error in the term ##\langle x |P| x \rangle=-i\hbar \frac{\partial}{\partial x} \delta(0)## which seems undefined...
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Hhokhani replied to the thread I Commutation of operators for particle in a box.Right, it is undefined. However, still another problem remains: The eigenfunctions of the particle in box, ##\psi_m(x)##, should form a...
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Hhokhani reacted to JimWhoKnew's post in the thread I Commutation of operators for particle in a box with Like.
So you assume ##~\infty\cdot0=0~## ?
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Hhokhani reacted to Nugatory's post in the thread I Commutation of operators for particle in a box with Like.
Take ##\psi(x)## to be an arbitrary function and expand the commutator. You will end up with a term proportional to ##\frac{dV}{dx}##...
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Hhokhani reacted to dextercioby's post in the thread I Commutation of operators for particle in a box with Like.
Finite walls or infinite walls? Start down by writing the Hilbert space, then the two operators. You may discover that the commutator is...
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Hhokhani replied to the thread I Commutation of operators for particle in a box.For infinite walls I did that in the post #8.
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Hhokhani replied to the thread I Commutation of operators for particle in a box.Very nice separation of the Hamiltonian. If we take ##\psi(x)=\sum_m a_m \psi_m## where ##\psi_m## are the eigenfunction of the...
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Hhokhani reacted to Nugatory's post in the thread I Commutation of operators for particle in a box with Like.
Does it? We have ##[H,P]=[P^2/2m,P]+[V(x),P]##; the first term is trivially zero but there’s no reason to expect the second one to be...
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HI would like to know how to calculate the ##[\hat{H}, \hat{P}]## for a particle in a 1D box? At the first glance it seems that they...
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HThe expected value is the average. You always get an energy corresponding to the transition between two eigenstates. The measurement of...
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Hhokhani replied to the thread I Electron energy in atoms.Definitely. I think I got the answer. A distinguished feature of QM is the quantization of quantities but usually this quantization...
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HI still don't understand what you are looking for. I suggest we'll try to clarify ourselves through a relatively simple example - the...
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Hhokhani replied to the thread I Electron energy in atoms.Thanks, the goal of raising this question was to know, step by step, how quantization manifests itself in practice while the system is...
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HOnly the ground state is stable. An atom in an excited state will emit one or more photons and reduce to the ground state. The same...