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

被引：6

作者：

Aghaei, S. ^{[1
]}

Chenaghlou, A. ^{[1
]}

机构：

[1] Sahand Univ Technol, Fac Sci, Dept Phys, Tabriz, Iran

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2013年 / 60卷 / 03期

关键词：

Dirac equation; quasi-exact solvability; supersymmetric quantum mechanics; EXACT SOLVABILITY; PAULI EQUATION; LORENTZ SCALAR; VECTOR; SYMMETRY;

D O I：

10.1088/0253-6102/60/3/07

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper quasi-exact solvability (QES) of Dirac equation with some scalar potentials based on sl(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 the Dirac equation with scalar potential is quasi-exactly solved and the Bethe ansatz equations are derived in order to obtain the energy eigenvalues and eigenfunctions.

引用

页码：296 / 302

页数：7

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