Consider a simple three level system, with the energles of the levels equally spaced, and the levels identified by a quantum number L, equal to 0, 1, and 2. Each level has a degeneracy of 2L +1. Note that the values of the energles are not required to answer the following, although you can assume that the lowest energy level E(0) = 0.

Consider a simple three level system, with the energles of the levels equally spaced, and the levels identified by a quantum number L, equal to 0, 1, and 2. Each level has a degeneracy of 2L +1. Note that the values of the energles are not required to answer the following, although you can assume that the lowest energy level E(0) = 0.