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

Indian Journal of Physics, ISSN: 0974-9845, Vol: 97, Issue: 7, Page: 1989-1995
2023
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  • Citations
    6
    • Citation Indexes
      6

Article Description

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 ℓ state due to the use of an approximation scheme for centrifugal terms 1/r and 1 / r, 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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