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Hhokhani replied to the thread I Phase and group velocity for the wave function.The expansion is in the basis of Right, but the expansion is in the basis of free particles and so the time evolution is under free...
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Hhokhani replied to the thread I Phase and group velocity for the wave function.@div_grad: If I understood correctly, your argument says the group velocity of a wave pocket around ##k_0## (with ##k_0## at centre) is...
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Hhokhani reacted to div_grad's post in the thread I Phase and group velocity for the wave function with
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@hokhani Note that this issue of group velocity of a wave packet can be equally well formulated in, e.g., classical electromagnetism... -
Hhokhani replied to the thread I Phase and group velocity for the wave function.Yes, suppose that the wave is also propagating in the free particle Hamiltonian. Then, we have ##\psi(x,t)=\sum_k \alpha_k...
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Hhokhani replied to the thread I Phase and group velocity for the wave function.Thank you for modifying the question. I would like to know if we have a typical wave function, for example ##\psi(x)=exp(-\alpha x^2)##...
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Hhokhani reacted to olivermsun's post in the thread I Phase and group velocity for the wave function with Like.
Maybe start with this question: if you write ##\omega## as a function of ##k##, what does ##\omega(k)## represent? (Think about light in...
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HAs far as I know, if we have a wave function as a sum of many momentum eigen function, i.e., ##\psi=\sum_k \alpha_k e^{i(kx-\omega...