Minimum-uncertainty coherent states of the hyperbolic and trigonometric Rosen–Morse oscillators

Abstract A mixed supersymmetric-algebraic approach is employed to generate the minimum uncertainty coherent states of hyperbolic and trigonometric Rosen–Morse oscillators. The method proposed produces superpotentials, ground state eigenfunctions associated eigenvalues as well Schrödinger equation in factorized form amenable direct treatment algebraic or supersymmetric scheme. In standard superpotentials are calculated by solution Riccati for given potential energy function differentiation eigenfunction. procedure applied general permits derivation exact analytical solutions most important model oscillators molecular quantum chemistry, spectroscopy (femtochemistry) nonlinear optics.