Question

A particle of mass m moves in a three dimensional box with dimensions a , b , c . Calculate the

allowed energy values.
For a=b=c=L give the first five eigenvalues of the energy and the coresponding degenerate energy levels .


Hint:
Consider solution of this kind: Ψ(x , y , z)=Ψx (x)Ψy ( y )Ψ z(z ) with energy E and solve for
Ψx ,Ψy ,Ψz with energies Ex , Ey ,Ez where E=Ex+Ey+Ez