RELATIVISTIC OSCILLATOR AND MATHIEU FUNCTIONS

被引：5
|
作者：
UNTERBERGER, A [1 ]
机构：
[1] UNIV REIMS,DEPT MATH,F-51062 REIMS,FRANCE
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 1993年 / 121卷 / 04期
关键词：
D O I：
10.24033/bsmf.2217
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The relativistic oscillator L is a relativistic version of the harmonic oscillator : in the Klein-Gordon symbolic calculus, it is straightforward to obtain the symbols of families of operators that commute with L. A Feynman integral type representation of e(-epsilonL), With especially nice properties, is derived as a first consequence; also, in the one-dimensional case, one gets new exact properties or formulas relative to Mathieu functions.
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页码：479 / 508
页数：30
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