Spectral bounds for the Hellmann potential

Physics – Mathematical Physics

Scientific paper

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9 pages, 2 figures, typos corrected

Scientific paper

10.1016/S0375-9601(01)00497-2

The method of potential envelopes is used to analyse the bound state spectrum
of the Schroedinger Hamiltonian H=-\Delta+V(r), where the Hellmann potential is
given by V(r) = -A/r + Be^{-Cr}/r, A and C are positive, and B can be positive
or negative. We established simple formulas yielding upper and lower bounds for
all the energy eigenvalues.

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