Morse Oscillator Propagator Using its Coherent States: Exact and Approximate

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2 Citations (Scopus)

Abstract

Morse oscillator coherent states are employed to derive an analytical expression of its off-diagonal propagator. An exact expression for the Morse oscillator propagator is provided. Additionally, an approximately good expression is also derived. A closed-form expression of the Morse oscillator diagonal propagator is given as well. This expression seems to be relatively easier and numerically much more stable than those in the literature. The stability issue is critical when dealing with Morse oscillator arising dynamics and integrals as divergence becomes a lingering problem. For this reason, the presented closed-form expression of the Morse oscillator diagonal propagator herein should be useful, especially numerically.

Original languageEnglish
Pages (from-to)474-483
Number of pages10
JournalInternational Journal of Theoretical Physics
Volume59
Issue number2
DOIs
Publication statusPublished - Feb 1 2020

Keywords

  • Approximate form of Morse oscillator propagator
  • Morse oscillator coherent states
  • Numerical stability of the anharmonic system propagator

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

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