- #1
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Just an idea: is there an index theorem for an n-dimensional Hamiltonian
[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?
[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?