Spectral bounds for the Hellmann potential
Richard L. Hall, Qutaibeh D. Katatbeh
Abstract
The method of potential envelopes is used to analyse the bound state spectrum of the Schroedinger Hamiltonian H=-Δ+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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