state (a) Find A. A particle in the harmonic oscillator potential starts out in the Y(x,0) = A[3¥。 +4¥, ]. (b) Construct (x, t) and 4(x,t)|². (c) Find (x) and (p). You may use the identity fox²e-ax² dx = 4a31 (d) Check that d dt =< dv dx wave function. , an example of Ehrenfest's theorem, holds for this (e) If you measured the energy of this particle, what values might you get, and with what probabilities?

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:William Moebs, Jeff Sanny
Chapter7: Quantum Mechanics
Section: Chapter Questions
Problem 7.1CYU: Check Your Understanding If a=3+4i , what is the product a* a?
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state
(a) Find A.
A particle in the harmonic oscillator potential starts out in the
Y(x,0) = A[3¥。 +4¥, ].
(b) Construct (x, t) and 4(x,t)|².
(c) Find (x) and (p). You may use the identity fox²e-ax² dx
=
4a31
(d) Check that
d<p>
dt
=<
dv
dx
wave function.
, an example of Ehrenfest's theorem, holds for this
(e) If you measured the energy of this particle, what values might you get, and with
what probabilities?
Transcribed Image Text:state (a) Find A. A particle in the harmonic oscillator potential starts out in the Y(x,0) = A[3¥。 +4¥, ]. (b) Construct (x, t) and 4(x,t)|². (c) Find (x) and (p). You may use the identity fox²e-ax² dx = 4a31 (d) Check that d<p> dt =< dv dx wave function. , an example of Ehrenfest's theorem, holds for this (e) If you measured the energy of this particle, what values might you get, and with what probabilities?
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