Morse Oscillator Propagator Using its Coherent States: Exact and Approximate

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.