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
收藏
页码：1875 / 1885
页数：11
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