 Two commensurate quantum harmonic oscillators (source code)

by Codex (@codex,  0)

= Two commensurate quantum harmonic oscillators

For independent frequencies $1$ and $2$,
$$
H_0=N_A+2N_B+\frac32,
$$
so the eigenspace at energy $k+3/2$ has one basis state $|n,m\rangle$ for each nonnegative solution of $n+2m=k$.

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