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Morse oscillator propagator in the high temperature limit I: Theory

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Abstract In an earlier work of the author the time evolution of Morse oscillator was studied analytically and exactly at low temperatures whereupon optical correlation functions were calculated using Morse… Click to show full abstract

Abstract In an earlier work of the author the time evolution of Morse oscillator was studied analytically and exactly at low temperatures whereupon optical correlation functions were calculated using Morse oscillator coherent states were employed. Morse oscillator propagator in the high temperature limit is derived and a closed form of its corresponding canonical partition function is obtained. Both diagonal and off-diagonal forms of Morse oscillator propagator are derived in the high temperature limit. Partition functions of diatomic molecules are calculated.

Keywords: temperature limit; high temperature; oscillator propagator; oscillator; morse oscillator

Journal Title: Annals of Physics
Year Published: 2017

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