6. (McQuarrie 5-26) Show that (x²) = [*° 42(x)*x²+2(x)dx = 5 h = 2 √μk for a harmonic oscillator. The square root of (x²) is the root-mean-square-displacement of the oscillator. 7. (McQuarrie 5-27) Show that (p) = 0 and {p²) = [ ¢2(x)*P²v2(x)dx = {2ħ√/µk for a harmonic oscillator.

6. (McQuarrie 5-26) Show that (x²) = [° 42(x)x²+2(x)dx = 5 h = 2 √μk for a harmonic oscillator. The square root of (x²) is the root-mean-square-displacement of the oscillator. 7. (McQuarrie 5-27) Show that (p) = 0 and {p²) = [ ¢2(x)*P²v2(x)dx = {2ħ√/µk for a harmonic oscillator.

Principles of Instrumental Analysis

7th Edition

ISBN:9781305577213

Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch

Chapter18: Raman Spectroscopy

Section: Chapter Questions

Problem 18.5QAP

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Question

Please answer both questions!!!Make sure its legible!!

6. (McQuarrie 5-26) Show that
(x²) = [*° 42(x)*x²+2(x)dx =
5 h
=
2 √μk
for a harmonic oscillator. The square root of (x²) is the root-mean-square-displacement of
the oscillator.
7. (McQuarrie 5-27) Show that (p) = 0 and
{p²) = [ ¢2(x)*P²v2(x)dx = {2ħ√/µk
for a harmonic oscillator.

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