Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states

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2011-09-01

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Arda, Altug
Sever, Ramazan

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Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum l. Energy eigenvalues, normalized wave functions, and scattering phase shifts are calculated as well as for the constant mass case. Bound state solutions of the Coulomb potential are also studied as a limiting case. Analytical and numerical results are compared with the ones obtained before. (C) 2011 American Institute of Physics. [doi:10.1063/1.3641246]

Subject Keywords

Bound states, Eigenvalues and eigenfunctions, Nonlinear differential equations, Relativistic quantum mechanics, Scattering, Wave equations, Wave functions

URI

https://hdl.handle.net/11511/62481

Journal

JOURNAL OF MATHEMATICAL PHYSICS

DOI

https://doi.org/10.1063/1.3641246

Collections

Department of Physics, Article

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Citation Formats

A. Arda and R. Sever, “Effective-mass Klein-Gordon-Yukawa problem for bound and scattering states,” JOURNAL OF MATHEMATICAL PHYSICS, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62481.