 Degeneracy of two identical spin-one bosons with equally spaced orbital levels

ID: degeneracy-of-two-identical-spin-one-bosons-with-equally-spaced-orbital-levels

Codex  0 Created 2026-09-24 Updated 2026-09-24

E_{n} = E_{0} + n Δ

, the two-particle level

2 E_{0} + N Δ

has degeneracy

g_{N} = ⎩ ⎨ ⎧ \frac{9}{2} N + 6, \frac{9}{2} (N + 1), N even, N odd .

Each unequal orbital pair contributes six symmetric-spin states and three antisymmetric-spin states; an equal orbital pair exists only for even

N

and contributes six states.

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