TY - JOUR
T1 - The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term
AU - Wei, Gao Feng
AU - Zhen, Zhi Zhong
AU - Dong, Shi Hai
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
KW - Approximately analytical solutions
KW - Bound and scattering states
KW - Klein-Gordon equation
KW - Manning-Rosen potential
UR - http://www.scopus.com/inward/record.url?scp=58549117475&partnerID=8YFLogxK
U2 - 10.2478/s11534-008-0143-9
DO - 10.2478/s11534-008-0143-9
M3 - Artículo
SN - 1895-1082
VL - 7
SP - 175
EP - 183
JO - Central European Journal of Physics
JF - Central European Journal of Physics
IS - 1
ER -