Answered: nian is given by H = p2/2m +…

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.

According to Ehrenfest's theorem, the time evolution of an expectation value (Ä)(t) follows
d
the Ehrenfest equations of motion (Â)(t) = (IĤ, Ã])(t).
For the harmonic oscillator, the Hamiltonian is given by Ĥ = /2m + mw?â²/2.
(a) Determine the Ehrenfest equations of motion for (î) and (p).
(b) Solve these equations for the initial conditions (î) = xo, (p) = Po, where xo and po are
real constants.

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