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Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential
2019
Acta Physica Polonica. A
Preserved Fulltext
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.
doi:10.12693/aphyspola.136.17
fatcat:dsf535skxveh7aso6ntjomc4sm