THE MOYAL REPRESENTATION OF QUANTUM-MECHANICS AND SPECIAL FUNCTION-THEORY

被引：4
|
作者：
VARILLY, JC
GRACIABONDIA, JM
SCHEMPP, W
机构：
[1] UNIV COSTA RICA, ESCUELA MATEMAT, SAN JOSE, COSTA RICA
[2] UNIV GESAMTHSCH SIEGEN, LEHSTUHL MATH 1, W-5900 SIEGEN 21, GERMANY
来源：
ACTA APPLICANDAE MATHEMATICAE | 1990年 / 18卷 / 03期
关键词：
AMS subject classifications (1980): Primary 33A75; 81C25; secondary; 43A30; holographic transform; Moyal quantum mechanics; phase-space quantization; Special functions;
D O I：
10.1007/BF00049127
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that the phase-space formulation of quantum mechanics is a rich source of special function identities. The Moyal formalism is reviewed for two phase spaces: the real plane and the sphere; and this is used to derive identities for Airy, Laguerre, Kummer, and theta functions and for SU(2) rotation elements, several of which are new. © 1990 Kluwer Academic Publishers.
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页码：225 / 250
页数：26
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