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Asymptotic properties of solutions to discrete Coulomb equations

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Publication:1962912
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DOI10.1016/S0898-1221(98)80029-1zbMath0940.81015MaRDI QIDQ1962912

Ronald E. Mickens

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)


zbMATH Keywords

asymptoticsscatteringdifference equationsquantum mechanicsCoulomb differential equation


Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Computational methods for problems pertaining to quantum theory (81-08) (S)-matrix theory, etc. in quantum theory (81U20)


Related Items

Fast calculation of energy and mass preserving solutions of Schrödinger-Poisson systems on unbounded domains



Cites Work

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  • Asymptotic analysis. Reprint
  • Numerov method maximally adapted to the Schrödinger equation
  • Exponential and Bessel fitting methods for the numerical solution of the Schrödinger equation
  • Failure of the method of slowly varying amplitude and phase for non-linear, singular oscillators
  • Construction of a Finite-Difference Scheme that Exactly Conserves Energy for a Mixed Parity Oscillator
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