# Help in Normalization of a Wave Function

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1. Jun 21, 2015

### Vaibhav DixiT

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. Jun 21, 2015

### blue_leaf77

You need to show which part you get stuck in.

3. Jun 21, 2015

### Vaibhav DixiT

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.

4. Jun 21, 2015

### blue_leaf77

5. Jun 21, 2015

### Vaibhav DixiT

thanks a lot!

Exactly what I needed.

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