What is the zero point energy and what are the energies of the lowest seven energy levels in a threedimensional box with a=b=c ? What is the degeneracy of each level?
a) The zero-point energy is 3h²/8ma²; energies are h²/8ma², 2h²/8ma², 3h²/8ma², 4h²/8ma², 5h²/8ma², 6h²/8ma², 7h²/8ma²; degeneracy is 1, 3, 5, 7, 9, 11, 13.
b) The zero-point energy is h²/8ma²; energies are h²/8ma², 2h²/8ma², 3h²/8ma², 4h²/8ma², 5h²/8ma², 6h²/8ma², 7h²/8ma²; degeneracy is 1, 2, 3, 4, 5, 6, 7.
c) The zero-point energy is h²/8ma²; energies are h²/8ma², h²/4ma², 3h²/8ma², h²/2ma², 5h²/8ma², 3h²/4ma², 7h²/8ma²; degeneracy is 1, 1, 1, 1, 1, 1, 1.
d) The zero-point energy is 3h²/8ma²; energies are 3h²/8ma², 6h²/8ma², 9h²/8ma², 12h²/8ma², 15h²/8ma², 18h²/8ma², 21h²/8ma²; degeneracy is 1, 1, 1, 1, 1, 1, 1.
