A set of four possible wave functions is given below, where L is a positive real number. b1 (x) = Ae , for all x Þ2 (x) = A cos(x), for all a %3D ( Ae" 0 L 0 for all other x Which of the four possible wave functions are normalizable? O p4 (x) O p2 (x) O ap3 (x) O p1 (x) More than one of the wavefunctions is normalizable.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter28: Quantum Physics
Section: Chapter Questions
Problem 12CQ
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A set of four possible wave functions is given below, where L is a positive real
number.
b1 (x) = Ae , for all x
Þ2 (x) = A cos(x), for all a
%3D
( Ae" 0<x <L
0 for all other x
S Ar a> L
0 for all other x
Which of the four possible wave functions are normalizable?
O p4 (x)
O p2 (x)
O ap3 (x)
O p1 (x)
More than one of the wavefunctions is normalizable.
Transcribed Image Text:A set of four possible wave functions is given below, where L is a positive real number. b1 (x) = Ae , for all x Þ2 (x) = A cos(x), for all a %3D ( Ae" 0<x <L 0 for all other x S Ar a> L 0 for all other x Which of the four possible wave functions are normalizable? O p4 (x) O p2 (x) O ap3 (x) O p1 (x) More than one of the wavefunctions is normalizable.
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