State the energy levels for a particle in a rectangular three-dimensional box.

What values can \(n_x\), \(n_y\), and \(n_z\) take in a three-dimensional infinite box?

State the cubic-box energy levels in terms of \(E_0=h^2/(8mL^2)\).

What is the ground-state quantum-number triple for a particle in a three-dimensional box?

For a cubic box, find the ground-state energy in units of \(E_0\).

For a cubic box, find \(E_{211}\) in units of \(E_0\).

How many states are degenerate with \((2,1,1)\) in a cubic box?

For a cubic box, find the energy of \((2,2,1)\) in units of \(E_0\).

How many states are degenerate with \((2,2,1)\) in a cubic box?

For a cubic box, compare \(E_{111}\) and \(E_{211}\).

Why is \((0,1,1)\) not an allowed state in an infinite three-dimensional box?

What happens to the energy levels if all box side lengths are doubled?

For a rectangular box with \(L_x=2L\), \(L_y=L\), and \(L_z=L\), write the energy in units of \(h^2/(8mL^2)\).

Why does a cubic box have degeneracies that a rectangular box may not have?

For a cubic box, list all states with energy \(6E_0\).

For a cubic box, list all states with energy \(11E_0\).

Why is the ground-state energy nonzero in a three-dimensional infinite box?

What is the normalized wave function for the ground state in a cubic box from 0 to \(L\) in each direction?

How does increasing mass affect all box energy levels?

Derive the cubic-box energy expression from the three rectangular-box terms.