Bound State Solution of Dirac Equation for Generalized Pöschl-Teller plus Trigomometric Pöschl-Teller Non- Central Potential Using SUSY Quantum Mechanics

Abstract

Abstract. The bound state solution of the Dirac equation for generalized Pöschl-Teller and trigonometric Pöschl-Teller non-central potentials was obtained using SUSY quantum mechanics and the idea of shape invariance potential. The approximate relativistic energy spectrum was expressed in the closed form. The radial and polar wave functions were obtained using raising and lowering of radial and polar operators. The orbital quantum numbers were found from the polar Dirac equation, which was solved using SUSY quantum mechanics and the idea of shape invariance.

Solusi Analitik Persamaan Schrodinger Terdedeformasi-q dengan Potensial Kratzer dalam Sistem Koordinat Bispherical Menggunakan Metode SUSYQM

“…Fungsi dan nilai eigen dalam suatu sistem SUSY mekanika kuantum sejatinya sudah tersedia melalui pasangan super-Hamiltonian tetapi bukan spektrum yang sesungguhnya (Suparmi & Cari, 2014). Dengan demikian dibutuhkan kondisi yang disebut shape invariance (Gendenshtein, 1984;Gendenshteĭn & Krive, 1985).…”

“…) Selanjutnya, persamaan operator penurun (7) dipakai untuk menentukan fungsi gelombang dasar dari sistem SUSY mekanika kuantum (Dutt, Gangopadhyaya, & Sukhatme, 1997;Suparmi & Cari, 2014),…”

Bound state solutions of a Dirac particle undergoing a tensor interaction potentials via asymptotic iteration method

“…The fourth one is the Pöschl-Teller potential, which introduced to explorer the vibrational excitations in molecule dynamics [24]. This potential had been investigated for Dirac equation in framework of supersymmetric quantum mechanics [25,26] and within the spin symmetry framework [27].…”

Relativistic Energy Analysis of Five-Dimensionalq-Deformed Radial Rosen-Morse Potential Combined withq-Deformed Trigonometric Scarf Noncentral Potential Using Asymptotic Iteration Method

“…[3] Pseudo-spin symmetry has been observed in deformed nuclei and can be enhanced in heavy proton-rich nuclei. [4] Solution of Dirac equation for some potentials under limit case of spin symmetry and pseudo-spin symmetry have been investigated intensively whether in three- [5,6] two-or one- [7][8][9][10][11][12][13] dimensional space, and some D-dimensional with spherically Symmetric Spacetimes [14][15]. However, The D-dimensional Dirac equation with (D-1)-dimensional separable non-central potential has not been investigated yet, therefore it may be worthy to investigate Dirac equation in 5 dimensions with separable 4-dimensional noncentral potential in this study.…”