# Homework Help: Energy eigenvalues and ground-state energy

1. Sep 6, 2010

### Jenkz

1. The problem statement, all variables and given/known data
The energy eigenvalues of a particles of mass, m, confined to a 3-d cube of side a are:

E$$_{nx,ny,nz}$$=$$\frac{a(n^{2}_{x}+n^{2}_{y}+n^{2}_{z})}{b}$$+ Vo

where:
a= planks constant^2(pi)^2
b=2m^2
nx,ny,nz = any positive integers.

What are the ground-state kinetic and potential energies of the particle.

3. The attempt at a solution
Really stumped. Any hints would be helpful thanks.

2. Sep 7, 2010

### Mindscrape

Try starting with the kinetic and potential energy operators.

3. Sep 7, 2010

### Jenkz

So
Ke = 3a(n$$^{2}_{x}$$) /b ?

And Pe would be re-arranging to have Vo = E - 3a(n$$^{x}_{2}$$ )/b