Solve Quantum Mech Problem: Find N for Normalized Wavefunction

[IanSimcox]

Hi, I'm not sure this is the correct topic for this question, but I shall ask anyway.

I've been set this question for homework and I'm not too sure where to start.

Find N so that the state |U> with Schrödinger position representation wavefunction U(x) = N exp(-((x-y)^2)/2a^2) is normalised, where a and y are real constants.

Hopefully from there I will be able to do the rest of the question.

 

[da_willem]

Do you know what 'normalised' means? Look it up!

 

[IanSimcox]

Ok this could make me look like an idiot either way (probably coz I'm not too sure of what I'm about to say, I should listen more), but I think it means that if I integrate U(x) from -infinte to +infinite then the answer should be 1. If it is I feel kinda silly not havin thought of doing that.

 

[dextercioby]

No,u have to integrate the square modulus...of the wave function.

Daniel.