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HHaborix reacted to Demystifier's post in the thread Undergrad The equivalent concept of phase change in classical mechanics with
Informative.
The phase of the wave function is analogous to the Hamilton-Jacobi function ##S(x,t)## in classical mechanics. If ##S(x,t)## is a... -
HHaborix replied to the thread Undergrad The equivalent concept of phase change in classical mechanics.You're correct. I got muddled up thinking about a ray in terms of real numbers multiplying a vector.
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HHaborix reacted to PeterDonis's post in the thread Undergrad The equivalent concept of phase change in classical mechanics with
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Not in the usual formulation of non-relativistic QM, where a "quantum state" is a ray in Hilbert space, not a vector. Multiplying a... -
HHaborix replied to the thread Undergrad The equivalent concept of phase change in classical mechanics.The closest parallel I can think to draw is to canonical transformations in classical mechanics. Strictly speaking, a phase change does...