Spectral bounds for the cutoff Coulomb potential

Details Spectral bounds for the cutoff Coulomb potential Spectral bounds for the cutoff Coulomb potential

2002-01-09

arxiv.org/abs/math-ph/0201021v1

Phys. Lett. A 294, 163-167 (2002)

Physics

Mathematical Physics

11 pages, 2 figures

Scientific paper

10.1016/S0375-9601(02)00025-7

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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