Time dependent rationally extended Poschl-Teller potential and some of its properties

• URL: http://arxiv.org/abs/2009.12851v2
• Date: Mon, 12 Oct 2020 03:41:34 GMT
• Title: Time dependent rationally extended Poschl-Teller potential and some of its properties
• Authors: D. Nath and P. Roy
• Abstract summary: We use separation of variable technique to construct time dependent rationally extended Poschl-Teller potential. We have obtained exact solutions of the Schrodinger equation with the above mentioned potentials subjected to some boundary conditions of the oscillating type.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We examine time dependent Schrodinger equation with oscillating boundary condition. More specifically, we use separation of variable technique to construct time dependent rationally extended Poschl-Teller potential (whose solutions are given by in terms of X1 Jacobi exceptional orthogonal polynomials) and its supersymmetric partner, namely the Poschl-Teller potential. We have obtained exact solutions of the Schrodinger equation with the above mentioned potentials subjected to some boundary conditions of the oscillating type. A number of physical quantities like the average energy, probability density, expectation values etc. have also been computed for both the systems and compared with each other.

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