The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term

• Authors: Gao-Feng Wei , Zhi-Zhong Zhen , Shi-Hai Dong
• Languages of publication: EN

Abstracts

EN

The approximately analytical bound and scattering state solutions of the arbitrary l-wave Klein-Gordon equation for the mixed Manning-Rosen potentials are carried out by an improved new approximation to the centrifugal term. The normalized analytical radial wave functions of the l-wave Klein-Gordon equation with the mixed Manning-Rosen potentials are presented and the corresponding energy equations for bound states and phase shifts for scattering states are derived. It is shown that the energy levels of the continuum states, reduce to the bound states of those at the poles of the scattering amplitude. Some useful figures are plotted to show the improved accuracy of our results and the special case for wave is studied briefly.

Keywords

EN

Manning-Rosen potential; bound and scattering states; Klein-Gordon equation; approximately analytical solutions

Discipline

• 03.65.Ge: Solutions of wave equations: bound states
• 03.65.Nk: Scattering theory
• 03.65.Pm: Relativistic wave equations

• Journal: Open Physics
• Year: 2009
• Volume: 7
• Issue: 1
• Pages: 175-183

Dates

published

1 - 3 - 2009

online

8 - 1 - 2009

Contributors

author

Gao-Feng Wei

• Department of Physics, Xi’an University of Arts and Science, Xi’an, 710065, People’s Republic of China,

author

Zhi-Zhong Zhen

• Department of Physics, Xi’an University of Arts and Science, Xi’an, 710065, People’s Republic of China

author

Shi-Hai Dong

• Departamento de Física, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D. F., 07738, Mexico,

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Identifiers

DOI

10.2478/s11534-008-0143-9