Exactly Solvable Schrodinger Operators

被引：37

作者：

Derezinski, Jan ^{[1
]}

Wrochna, Michal ^{[2
]}

机构：

[1] Univ Warsaw, Fac Phys, Dept Math Methods Phys, PL-00682 Warsaw, Poland

[2] Univ Gottingen, Inst Math, RTG Math Struct Modern Quantum Phys, D-37073 Gottingen, Germany

来源：

ANNALES HENRI POINCARE | 2011年 / 12卷 / 02期

关键词：

QUANTUM-MECHANICS; POTENTIALS;

D O I：

10.1007/s00023-011-0077-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We systematically describe and classify one-dimensional Schrodinger equations that can be solved in terms of hypergeometric type functions. Beside the well-known families, we explicitly describe two new classes of exactly solvable Schrodinger equations that can be reduced to the Hermite equation.

引用

页码：397 / 418

页数：22

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