In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on s/(2) Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of t...In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on s/(2) Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner's classification such that solved and the Bethe ansatz equations are derived in order to the Dirac equation with scalar potential is quasi-exactly obtain the energy eigenvalues and eigenfunctions.展开更多
By using the supersymmetric quantum mechanics and shape invariance concept, we study the Dirac equation with the hyperbolic Scarf potential and the exact energy spectrum is obtained. Also, we calculate the bound state...By using the supersymmetric quantum mechanics and shape invariance concept, we study the Dirac equation with the hyperbolic Scarf potential and the exact energy spectrum is obtained. Also, we calculate the bound state energy eigenvalues by using the supersymmetric WKB approximation approach so that we get the same results.展开更多
文摘In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on s/(2) Lie algebra is studied. According to the quasi-exact solvability theory, we construct the configuration of the classes II, IV, V, and X potentials in the Turbiner's classification such that solved and the Bethe ansatz equations are derived in order to the Dirac equation with scalar potential is quasi-exactly obtain the energy eigenvalues and eigenfunctions.
文摘By using the supersymmetric quantum mechanics and shape invariance concept, we study the Dirac equation with the hyperbolic Scarf potential and the exact energy spectrum is obtained. Also, we calculate the bound state energy eigenvalues by using the supersymmetric WKB approximation approach so that we get the same results.