Harmonic oscillator inside square well

[syang9]

Homework Statement

consider V(x,y) = inf, |y| > a; 1/2kx^2, |y|<=a.

find the energies of this potential.

my initial idea was to just look for solutions of the form X(x)*Y(y), and solve for the separation constant, which should give me the energy, right?

 

[pam]

Sounds OK to me.