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Dirac Equation and Some Quasi-Exact Solvable Potentials in the Turbiner's Classification

Dirac Equation and Some Quasi-Exact Solvable Potentials in the Turbiner's Classification
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摘要 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.
机构地区 Department of Physics
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第9期296-302,共7页 理论物理通讯(英文版)
关键词 Dirac equation quasi-exact solvability supersymmetric quantum mechanics 狄拉克方程 分类 精确解 Dirac方程 能量本征值 本征函数 标量势 李代数
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