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Relativistic particle scattering states with tensor potential and spatially-dependent mass

Relativistic particle scattering states with tensor potential and spatially-dependent mass
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摘要 We investigate the relativistic equation for particles with spin 1/2 in the q-parameter modified P5schl- Teller potential, including Coulomb-like tensor interaction with spatially-dependent mass for the D-dimension. We present approximate solutions of the Dirac equation with these potentials for any spin-orbit quantum number k under spin symmetry. The normalized wave functions are expressed in terms of the hyper-geometric series of the scattering states on the k/2π scale. We also give the formula for the phase shifts, and use the Nikiforov-Uvarov method to obtain the energy eigen-values equation. We investigate the relativistic equation for particles with spin 1/2 in the q-parameter modified P5schl- Teller potential, including Coulomb-like tensor interaction with spatially-dependent mass for the D-dimension. We present approximate solutions of the Dirac equation with these potentials for any spin-orbit quantum number k under spin symmetry. The normalized wave functions are expressed in terms of the hyper-geometric series of the scattering states on the k/2π scale. We also give the formula for the phase shifts, and use the Nikiforov-Uvarov method to obtain the energy eigen-values equation.
出处 《Chinese Physics C》 SCIE CAS CSCD 2013年第5期14-21,共8页 中国物理C(英文版)
关键词 Dirac equation relativistic scattering states modified PSschl-Teller potential spin symmetry tensor interaction Dirac equation, relativistic scattering states, modified PSschl-Teller potential, spin symmetry, tensor interaction
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