Spectral bounds for the cutoff Coulomb potential

  • Authors:

  • Richard L. Hall;Qutaibeh D. Katatbeh

  • Affiliations:

  • Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, PQ, Canada H3G 1M8;Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montréal, PQ, Canada H3G 1M8

  • Venue:
  • Physics Letters A
  • Year:
  • 2002

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Abstract

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