Quasi-exact solvability of planar Dirac electron in Coulomb and magnetic fields

被引：4

作者：

Chiang, CM ^{[1
]}

Ho, CL

机构：

[1] No Taiwan Inst Sci & Technol, Taipei 112, Taiwan

[2] Tamkang Univ, Dept Phys, Tamsui 25137, Taiwan

来源：

MODERN PHYSICS LETTERS A | 2005年 / 20卷 / 09期

关键词：

quasi-exact solvability; Dirac equation; superalgebra;

D O I：

10.1142/S0217732305016452

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra sl(2) which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden osp(2, 2) superalgebra.

引用

页码：673 / 679

页数：7

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