nian is given by H = p2/2m + m[omega]2x2/2. a) Determine the Ehrenfest equations of motion for and . b) Solve these equations for the initial conditions = x0, = p0, where x0 and p0 are real constants. Better formatted version of the question attached.
nian is given by H = p2/2m + m[omega]2x2/2. a) Determine the Ehrenfest equations of motion for and . b) Solve these equations for the initial conditions = x0, = p0, where x0 and p0 are real constants. Better formatted version of the question attached.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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According to Ehrenfest's theorem, the time evolution of an expectation value <A>(t) follows the Ehrenfest equations of motion (d/dt)<A>(t) = (i/[hbar])<[H,A]>(t).
For the harmonic oscillator, the Hamiltonian is given by H = p2/2m + m[omega]2x2/2.
a) Determine the Ehrenfest equations of motion for <x> and <p>.
b) Solve these equations for the initial conditions <x> = x0, <p> = p0, where x0 and p0 are real constants.
Better formatted version of the question attached.
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