Morse oscillator propagator in the high temperature limit II: Quantum dynamics and spectroscopy

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3 Citations (Scopus)


This paper is a continuation of Paper I (Toutounji, 2017) of which motivation was testing the applicability of Morse oscillator propagator whose analytical form was derived by Duru (1983). This is because the Morse oscillator propagator was reported (Duru, 1983) in a triple-integral form of a functional of modified Bessel function of the first kind, which considerably limits its applicability. For this reason, I was prompted to find a regime under which Morse oscillator propagator may be simplified and hence be expressed in a closed-form. This was well accomplished in Paper I. Because Morse oscillator is of central importance and widely used in modelling vibrations, its propagator applicability will be extended to applications in quantum dynamics and spectroscopy as will be reported in this paper using the off-diagonal propagator of Morse oscillator whose analytical form is derived.

Original languageEnglish
Pages (from-to)175-182
Number of pages8
JournalAnnals of Physics
Publication statusPublished - Apr 2018


  • Anharmonic
  • Dipole moment time correlation function
  • High temperature limit
  • Morse oscillator
  • Optical line shape
  • Propagator

ASJC Scopus subject areas

  • General Physics and Astronomy


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