Computing Normalisation Constant A

[wam_mi]

Homework Statement

Question: Given that Wavefunction Fi = A exp[b*mod(x)], which b is a non zero positive constant. Calculate the normalisation constant.

Homework Equations

1 = Integrating Mod square (Wavefunction) from minus infinity to positive infinity

The Attempt at a Solution

It's the mod(x) there which I don't really know how to deal with it. Could anyone please help me out? Many Thanks!

 

[G01]

By mod(x) do you mean the absolute value of x- |x|?

If so

HINT: Remember that |x|=-x if x<0 and |x|= x if x>0.

Use this fact and split the integral into the sum of two integrals, one from $-\infty$ to 0 and the other from 0 to $\infty$.

 

[wam_mi]

By mod(x) do you mean the absolute value of x- |x|?

If so

HINT: Remember that |x|=-x if x<0 and |x|= x if x>0.

Use this fact and split the integral into the sum of two integrals, one from $-\infty$ to 0 and the other from 0 to $\infty$.

Thanks a lot, I think I've got it now!

Cheers!

 

[G01]

No problem!