Probability of a wave function

1. Jan 4, 2009

soul

Hi everyone,

Assume that we have an electron in the Coulomb field of a proton, whose wave function is specified. How can I find the probability of finding this electron in the ground state of the hydrogen atom?

Thank you.

2. Jan 4, 2009

malawi_glenn

find the projection of that given wave function with the wave function of ground state for hydrogen.

3. Jan 5, 2009

soul

Why do we do that? I couldn't understand the reason.

4. Jan 5, 2009

malawi_glenn

It is the formalism of quantum mechanics?

Think of vectors in the plane, wavefuctions are vectors in Hilbert space.

The probability for state |a> to be in state |b> is given by: |<a|b>|^2