A new two-parameter family of exactly solvable Dirac Hamiltonians

被引：1

作者：

Pozdeeva, E. O. ^{[1
]}

机构：

[1] RAS, NN Semenov Chem Phys Inst, Moscow 117901, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 2009年 / 159卷 / 02期

关键词：

Darboux transformation; Dirac equation; supersymmetry; DARBOUX TRANSFORMATION; EXPLICIT SOLUTIONS; EQUATION; POTENTIALS;

D O I：

10.1007/s11232-009-0050-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using the Darboux transformation method, we construct a two-parameter family of exactly solvable Dirac Hamiltonians. We obtain intertwining relations between various members of this family. We study the spectral properties of these Hamiltonians and give explicit expressions for their eigenfunctions.

引用

页码：618 / 626

页数：9

共 43 条

[1] A new two-parameter family of exactly solvable Dirac Hamiltonians
E. O. Pozdeeva
Theoretical and Mathematical Physics, 2009, 159 : 618 - 626
[2] Darboux transformations for quasi-exactly solvable Hamiltonians
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[10] Exceptional orthogonal polynomials and new exactly solvable potentials in quantum mechanics
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