Just an idea: is there an index theorem for an n-dimensional Hamiltonian(adsbygoogle = window.adsbygoogle || []).push({});

[tex] H = -\triangle^{(n)} + V(x)[/tex]

which "counts" the bound states

[tex] (H - E) \,u_E(x) = 0[/tex]

i.e. eigenfunctions and eigenvalues in the discrete spectrum of H?

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# Number of bound states and index theorems in quantum mechanics?

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