THE QUANTUM RELATIVISTIC HARMONIC-OSCILLATOR - GENERALIZED HERMITE-POLYNOMIALS

被引：57

作者：

ALDAYA, V

BISQUERT, J

NAVARROSALAS, J

机构：

[1] UNIV VALENCIA,FAC FIS,DEPT FIS TEOR,E-46100 VALENCIA,SPAIN

[2] UNIV VALENCIA,CSIC,IFIC,E-46100 VALENCIA,SPAIN

[3] UNIV CASTILLA LA MANCHA,ESCUELA UNIV POLITECN,DEPT FIS,E-02071 ALBACETE,SPAIN

来源：

PHYSICS LETTERS A | 1991年 / 156卷 / 7-8期

关键词：

D O I：

10.1016/0375-9601(91)90711-G

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A relativistic generalisation of the algebra of quantum operators for the harmonic oscillator is proposed. The wave functions are worked out explicitly in configuration space, Both the operator algebra and the wave functions have the appropriate c --> infinity limit. This quantum dynamics involves an extra quantization condition mc2/omega-h = 1, 3/2, 2,... of a topological character.

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页码：381 / 385

页数：5

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