Coherent States for PT-/Non-PT-Symmetric and Non-Hermitian Morse Potential via Path Integral Method

TL;DR

This paper constructs coherent states for non-Hermitian and PT-symmetric Morse potentials using path integral formalism, transforming the problem into harmonic oscillators and deriving energy spectra and wave functions.

Contribution

It introduces a novel method to derive coherent states for generalized Morse potentials via path integrals and parametric time transformation.

Findings

Derived energy eigenvalues and wave functions for the generalized Morse potential.

Established a connection between Morse potential and harmonic oscillators through parametric time.

Constructed coherent states in the context of non-Hermitian quantum mechanics.

Abstract

We discuss the coherent states for PT-/non-PT-Symmetric and non-Hermitian generalized Morse Potential obtained by using path integral formalism over the holomorphic coordinates. We transform the action of generalized Morse potential into two harmonic oscillators with a new parametric time to establish the parametric time coherent states. We calculate the energy eigenvalues and the corresponding wave functions in parabolic coordinates.