(2) The function ? ( x ) = A(x/L)²[1-(x/L)] Show Transcribed Text is an acceptable wave function for the particle in

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 18.8QAP
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(2) The function ? ( x ) =
A(x/L)²[1-(x/L)]
Show Transcribed Text
is an acceptable wave function for the particle in
a 1-dimensional infinitely deep box of length L.
a) Calculate the normalization constant A.
b) Calculate the average values of x and x² for this state, and use these to calculate the
standard deviation, ? =
²>-<x>
Transcribed Image Text:(2) The function ? ( x ) = A(x/L)²[1-(x/L)] Show Transcribed Text is an acceptable wave function for the particle in a 1-dimensional infinitely deep box of length L. a) Calculate the normalization constant A. b) Calculate the average values of x and x² for this state, and use these to calculate the standard deviation, ? = ²>-<x>
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