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Non-relativistic treatment of generalised inverse quadratic Yukawa potential via path integral approach

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Abstract

In this work, the energy spectrum in a non-relativistic regime with normalised wave-functions for Generalized Inverse Quadratic Yukawa potential (GIQY) is obtained using path integral formalism of quantum mechanics; the results are evaluated for any \(\ell\) state due to the use of an approximation scheme for centrifugal terms 1/r and \(1/r^2\), the constructed propagator associated with the Schrödinger equation of the problem was treated by space-time transformation trick that made it integrable, energy eigenvalues for some exceptional cases of GIQY potential was also presented in order to compare our solutions with those obtained in previous studies.

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Authors and Affiliations

  1. Department of Physics, Faculty of Exact Sciences and Informatics, Hassiba Benbouali University of Chlef, P.O. Box 78, Ouled-Fares, 02000, Chlef, Algeria

    Salah Eddine Aid

  2. Laboratory of Mechanics and Energy, Hassiba Benbouali University of Chlef, P.O. Box 78, Ouled-Fares, 02000, Chlef, Algeria

    Salah Eddine Aid

  3. Laboratory of Energy and Smart Systems, University of Khemis Miliana, 44225, Khemis Miliana, Algeria

    Hocine Boukabcha & Djelloul Benzaid

Authors
  1. Salah Eddine Aid
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  2. Hocine Boukabcha
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  3. Djelloul Benzaid
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Correspondence to Hocine Boukabcha.

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Aid, S.E., Boukabcha, H. & Benzaid, D. Non-relativistic treatment of generalised inverse quadratic Yukawa potential via path integral approach. Indian J Phys 97, 1989–1995 (2023). https://doi.org/10.1007/s12648-022-02564-0

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