An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials

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2014-01-01

Author

Akçay, Hüseyin
Sever, Ramazan

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Analytical solutions of the Klein-Gordon equation are obtained by reducing the radial part of the wave equation to a standard form of a second-order differential equation. Differential equations of this standard form are solvable in terms of hypergeometric functions and we give an algebraic formulation for the bound state wave functions and for the energy eigenvalues. This formulation is applied for the solutions of the Klein-Gordon equation with some diatomic potentials.

Subject Keywords

Mathematical Physics, Atomic and Molecular Physics, and Optics, Condensed Matter Physics

URI

https://hdl.handle.net/11511/62551

Journal

PHYSICA SCRIPTA

DOI

https://doi.org/10.1088/0031-8949/89/01/015003

Collections

Department of Physics, Article

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Citation Formats

H. Akçay and R. Sever, “An algebraic method for the analytical solutions of the Klein-Gordon equation for any angular momentum for some diatomic potentials,” PHYSICA SCRIPTA, pp. 0–0, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62551.