Normalizing a Wave Function

  • #1
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Homework Statement



A particle may be represented in the space, [itex]-a \le x \le a[/itex], by the wave function [itex]\Psi (x) = A cos(\frac{\pi x}{2a})[/itex]. Find the normalization constant

Homework Equations



[tex]\int |\Psi (x)|^{2}dx=1[/tex]

The Attempt at a Solution



In reading the question it defines the space as being [itex]-a \le x \le a[/itex] does this in-turn change the limits of integration for the normalization from +/- infinity to +/- a? And so result in:

[tex]\int |A cos(\frac{\pi x}{2a})|^{2}dx=1[/tex]
[tex]A^{2}a=1[/tex]
[tex]A = (\frac{1}{a})^{1/2}[/tex]
 

Answers and Replies

  • #2
vela
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Yes, that's correct.
 

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