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quant-phFeb 5, 2019
4
citations (OpenAlex)
authors
  • A. M. Ishkhanyan
  • V. P. Krainov
institutions
  • Moscow Institute of Physics and Technology
  • National Research Tomsk State University
  • Russian-Armenian University
  • Tomsk Polytechnic University
arXiv abstractPDF
paper

WKB-approach for the 1D hydrogen atom

arXiv:1902.02189 · doi:10.1016/j.rinp.2019.01.055

Abstract

Taking into account results of WKB-approximation, we derive exact quantum energies and wave functions of even and odd states in the one-dimensional Coulomb potential

References in corpus (5)

  • The functional-analytic versus the functional-integral approach to quantum Hamiltonians: The one-dimensional hydrogen atom.
  • Electrons above a Helium Surface and the One-Dimensional Rydberg Atom
  • Self-adjoint extensions of Coulomb systems in 1,2 and 3 dimensions
  • Variational approach to the Coulomb problem on a cylinder
  • Maslov index for power-law potentials
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