Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States

Details Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States

2011-08-22

arxiv.org/abs/1108.4252v1

J. Math. Phys. 52, 092101 (2011)

Physics

Mathematical Physics

13 pages, 1 figure

Scientific paper

10.1063/1.3641246

Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum $\ell$. 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.

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