Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Normalizing a Wave Function

  1. Apr 27, 2012 #1
    1. The problem statement, all variables and given/known data

    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

    2. Relevant equations

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

    3. 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]
     
  2. jcsd
  3. Apr 28, 2012 #2

    vela

    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Yes, that's correct.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook