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Help in Normalization of a Wave Function

  1. Jun 21, 2015 #1
    Hello Guys,

    I am trying to Normalize the following wave function but I am getting stuck in between (Maybe maths is the problem here for me). Can anyone please provide some hints.

    The Wave Function is


    ψ = e - |x| sin (α x)


    Please help.
     
  2. jcsd
  3. Jun 21, 2015 #2

    blue_leaf77

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    You need to show which part you get stuck in.
     
  4. Jun 21, 2015 #3
    Since ψ2 here is an even function. I am trying the following relation:


    -∞∫|ψ|2dx = 2 0∫|ψ|2dx

    for x ∈ [0,∞) , ψ = e-xsin( ∝x)

    |ψ|2 = e-2xsin2(∝x) = e-2x {1- cos(2∝x)}/2

    So essentially I am trying to find ∝, so that:

    0∫e-2x {1- cos(2∝x)}dx = 1

    I am trying to do integration by parts but the e-2x cos(2∝x) is being a problem for me.
     
  5. Jun 21, 2015 #4

    blue_leaf77

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  6. Jun 21, 2015 #5
    thanks a lot!

    Exactly what I needed.
     
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