O Suppose, I have normalized the wave function at some point of time. The wave nction evolves with time according to time dependent Schrodinger equation. How do now that the wave function remains normalized after some time? d dint: Show that 4(x, t)[²dx = 0] dt | )Show that d(p) = (- av dt e. expectation values follow Newton's law.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Quantum Physics
Section: Chapter Questions
Problem 56P
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3) (a) Suppose, I have normalized the wave function at some point of time. The wave
function evolves with time according to time dependent Schrodinger equation. How do
I know that the wave function remains normalized after some time?
[Hint: Show that –l4(x,t)|²dx = 0]
dt
(b) Show that
d(p)
%3D
= (-
dt
ax
i.e. expectation values follow Newton's law.
Transcribed Image Text:3) (a) Suppose, I have normalized the wave function at some point of time. The wave function evolves with time according to time dependent Schrodinger equation. How do I know that the wave function remains normalized after some time? [Hint: Show that –l4(x,t)|²dx = 0] dt (b) Show that d(p) %3D = (- dt ax i.e. expectation values follow Newton's law.
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