Energy eigenvalues and ground-state energy

[Jenkz]

Homework Statement

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.

The Attempt at a Solution

Really stumped. Any hints would be helpful thanks.

 

[Mindscrape]

Try starting with the kinetic and potential energy operators.

 

[Jenkz]

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

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