1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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 wavefunction f(x) = e^-|2x|

  1. Nov 5, 2008 #1
    1. The problem statement, all variables and given/known data
    This isI n't formatted properly because I don't have much time.

    The wave function is f(x) = e^-|2x|

    I need to normalize this function


    2. Relevant equations

    The normalization condition is

    S f^2dx=1

    (that S is an "integral" sign and the limits are from - infinity to + infinity)



    3. The attempt at a solution

    S [(Ae^-|2x|)^2]dx = 1

    A^2 S (e^-2|2x|)dx = 1

    A^2 S (e^-4x)dx = 1

    (-1/4)(A^2)(e^-4(infinity) - e^-4(0)) = 1
    (-1/4)(A^2)(-1) = 1
    A = sqrt(4)
    A = 2

    this doesn't seem right? can someone help? I'm pressed for time.
     
    Last edited: Nov 5, 2008
  2. jcsd
  3. Nov 5, 2008 #2
    You missed a factor of 2 when you went from an integral from -infty to +infty, to an integral from -infty to 0.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...
Similar Threads for Normalizing wavefunction |2x| Date
Finding Normalization constant Jul 31, 2017
Help in Normalization of a Wave Function Jun 21, 2015
Normalizing Wavefunction on a Ring Mar 12, 2015
Normalizing wavefunction of (x^2)e^(-x^2)? Sep 19, 2013
Normalization of a symmetric wavefunction Jun 2, 2013