Dirac oscillators and quasi-exactly solvable operators

被引：7

作者：

Brihaye, Y ^{[1
]}

Nininahazwe, A ^{[1
]}

机构：

[1] Univ Mons, Dept Math Phys, B-7000 Mons, Belgium

来源：

MODERN PHYSICS LETTERS A | 2005年 / 20卷 / 25期

关键词：

exact and quasi-exact solvability; Dirac equation;

D O I：

10.1142/S0217732305018128

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Dirac equation is formulated in the background of three types of physically relevant potentials: scalar, vector and "Dirac-oscillator" potentials. Assuming these potentials to be spherically-symmetric and with generic polynomial forms in the radial variable, we construct the corresponding radial Dirac equation. Cases where this linear spectral equation is exactly solvable or quasi-exactly solvable are worked out in details. When available, relations between the radial Dirac operator and some super-algebra are pointed out.

引用

页码：1875 / 1885

页数：11

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