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arxiv: math-ph/0201021 · v1 · submitted 2002-01-09 · 🧮 math-ph · math.MP

Spectral bounds for the cutoff Coulomb potential

classification 🧮 math-ph math.MP
keywords boundsenergypotentialanalysebound-statecoulombcutoffdelta
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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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