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Spectral bounds for the cutoff Coulomb potential

Richard L. Hall, Qutaibeh D. Katatbeh

math-pharXiv:math-ph/0201021

Abstract

The method of potential envelopes is used to analyse the bound-state spectrum of the Schroedinger Hamiltonian H = -Delta -v/(r+b), where v and b are positive. We established simple formulas yielding upper and lower energy bounds for all the energy eigenvalues.

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