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arXiv:1911.12392 · The European Physical Journal Plus

Complete non-relativistic bound state solutions of the Tietz-Wei potential via the path integral approach

A. Khodja, A Kadja, Farid Benamira, Larbi Guechi

Published Feb 1, 2019• 5 citations
arXivHTMLPDF
DOI
10.1140/epjp/i2019-12430-8

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The approximate solutions of the Klein-Gordon equation with the shifted Tietz-Wei potential function are thoroughly studied for Klein-Gordon equation with both 2 V and V potentials by using a suitable approximation scheme for the centrifugal term in the framework of the supersymmetric approach. The non-relativistic limits in both cases are obtained, and the numerical results are computed. We have equally investigated the Fisher information on the shifted Tietz-Wei potential function in the case of the non-relativistic limit of the Klein-Gordon equation with potential V because this is only possible in the non-relativistic regime. The Fisher information is observed to be inversely proportional to both C h and b h , where C h is the optimization parameter and b h = β (1 − C h ), with β being the Morse constant.