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Exact treatment of the relativistic double ring-shaped Kratzer potential using the quantum Hamilton–Jacobi formalism

A. Gharbi

Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université de Bejaia, Bejaia 06000, Algeria

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S. Touloum

Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université de Bejaia, Bejaia 06000, Algeria

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, and

A. Bouda

Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université de Bejaia, Bejaia 06000, Algeria

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https://doi.org/10.1142/S0217732315500820Cited by:5 (Source: Crossref)

Abstract

We study the Klein–Gordon equation with noncentral and separable potential under the condition of equal scalar and vector potentials and we obtain the corresponding relativistic quantum Hamilton–Jacobi equation. The application of the quantum Hamilton–Jacobi formalism to the double ring-shaped Kratzer potential leads to its relativistic energy spectrum as well as the corresponding eigenfunctions.

Keywords:

PACS: 03.65.Ca

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