Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential
H. Sobhani, H. Hassanabadi
Faculty of Physics, Shahrood University of Technology, P.O. Box 3619995161-316, Shahrood, Iran
Received: August 28, 2016; revised version April 8, 2019; in final form April 14, 2019
Full Text PDF
In this paper, time-dependent Schrödinger equation is considered with the Pöschl-Teller double-ring shaped harmonic potential. Then, for investigation of such a system, the Lewis-Riesenfeld dynamical invariant method is presented and shown that how it works. After that, the form and eigenfunctions for the Lewis-Riesenfeld dynamical invariant are derived and the exact solutions are studied. Then the physical interpretations of derived results are discussed.

topics: time-dependent Schrödinger equation, Pöschl-Teller double-ring shaped harmonic potential, Lewis-Riesenfeld dynamical invariant