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

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Abstract

We examine time-dependent Schrödinger equation with oscillating boundary condition. More specifically, we use separation of variable technique to construct time-dependent rationally extended Pöschl–Teller potential (whose solutions are given by in terms of \(X_1\) Jacobi exceptional orthogonal polynomials) and its supersymmetric partner, namely the Pöschl–Teller potential. We have obtained exact solutions of the Schrödinger 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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Author notes

  1. D. Nath and P. Roy have contributed equally to this work.

Authors and Affiliations

  1. Department of Mathematics, Vivekananda College, 269 D.H. Road, Kolkata, 700063, India

    D. Nath

  2. Atomic Molecular and Optical Physics Research Group, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    P. Roy

  3. Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    P. Roy

Authors
  1. D. Nath
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  2. P. Roy
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Correspondence to P. Roy.

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Nath, D., Roy, P. Time-dependent rationally extended Pöschl–Teller potential and some of its properties. Eur. Phys. J. Plus 135, 802 (2020). https://doi.org/10.1140/epjp/s13360-020-00815-9

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  • DOI: https://doi.org/10.1140/epjp/s13360-020-00815-9

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