Exact Solution of Dirac Equation for q-Deformed Trigonometric Scarf potential with q-Deformed Trigonometric Tensor Coupling Potential for Spin and Pseudospin Symmetries Using Romanovski Polynomial

Conference of Theoretical Physics and Nonlinear Phenomena 2014: "From Universe to String's Scale"

Suparmi, A.^1 ; Cari, C.^1 ; Deta, U.A.^2 ; Husein, A.S.^1 ; Yuliani, H.^3,4

Physics Department of Graduate Program, Sebelas Maret University, Indonesia, Jl. Ir. Sutami 36A Kentingan, Surakarta

57126, Indonesia^1

Department of Physics, Faculty of Mathematics and Natural Science, State University of Surabaya, Indonesia, Jl. Ketintang, Surabaya

60231, Indonesia^2

Department of Physics Education, Faculty of Education and Teacher Training, State University of Palangka Raya, Indonesia, Jl. Yos Sudarso, Palangka Raya, Indonesia^3

Prodi Tadris Fisika, Jurusan Tarbiah STAIN Palangka Raya, Indonesia, Jl. G. Obos, Palangka Raya, Indonesia^4

关键词: Approximation scheme;    Bound state solutions;    Operator method;    Relativistic energy;    Schrodinger type equation;    Shape invariance;    Shape invariant potentials;    Supersymmetric quantum mechanics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/539/1/012004/pdf
DOI  :  10.1088/1742-6596/539/1/012004

来源: IOP

【 摘 要 】

The bound state solutions of Dirac equation for q-deformed trigonometric Scarf potential with q-deformed trigonometric cotangent and cosecant tensor coupling potential under spin and pseudospin symmetric limits are investigated using Supersymmetric Quantum Mechanics (SUSY QM) method. The new tensor potentials proposed is inspired by superpotential form in SUSY quantum mechanics. The Dirac equations for Scarf potential coupled by new tensor potential in the pseudospin and spin symmetric cases reduce to Schrodinger type equations for shape invariant potential since the proposed new potentials are equivalent to the superpotential of q-deformed trigonometric Scarf potential. The relativistic wave functions are exactly obtained by using SUSY operator method and the relativistic energy equation are exactly obtained by using SUSY method and the idea of shape invariance in the approximation scheme of centrifugal term. The new tensor potential causes the energy degeneracies is omit both for pseudospin and spin symmetric case.