In Three Dimensions, the Schrödinger Equation for the Infinite Square-Well $\Psi$

Multiple Choice

In three dimensions, the Schrödinger equation for the infinite square-well potential

A) has a solution of the form $\Psi$ (x,y,z) = A sin k₁x sin k₂y sin k₃z, where the k's are wave numbers and the constant A is determined by normalization.
B) predicts energy states described by .
C) predicts energies and wave functions that are characterized by three quantum numbers.
D) allows multiple quantum states corresponding to the same energy level.
E) All of these are true.