RELATIVISTIC QUANTUM FRAMES

被引:16
作者
ALI, ST
ANTOINE, JP
GAZEAU, JP
机构
[1] UNIV CATHOLIQUE LOUVAIN,INST PHYS THEOR,B-1348 LOUVAIN,BELGIUM
[2] UNIV PARIS 07,PHYS THEOR & MATH LAB,F-75251 PARIS 05,FRANCE
关键词
D O I
10.1006/aphy.1993.1017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The general theory of frames, analyzed mathematically in the preceeding paper, is applied hereto the problem of quantizing a classical system. Frames provide a method of quantization which generalizes the coherent state approach and fits neatly with the operational meaning of quantum measurements. Next, concrete examples of quantum frames, each generated by a single vector (the "quantum probe") are constructed, for three different relativities-Galilei, Poincaré, and anti-deSitter-and their mutual relationship, in terms of group contraction, is explored. © 1993 Academic Press, Inc.
引用
收藏
页码:38 / 88
页数:51
相关论文
共 72 条
[1]  
Abramovitz M, 1965, HDB MATH FUNCTIONS
[2]  
ALI ST, 1991, ANN I H POINCARE-PHY, V55, P829
[3]  
ALI ST, 1991, ANN I H POINCARE-PHY, V55, P857
[4]   CONTINUOUS FRAMES IN HILBERT-SPACE [J].
ALI, ST ;
ANTOINE, JP ;
GAZEAU, JP .
ANNALS OF PHYSICS, 1993, 222 (01) :1-37
[5]  
ALI ST, 1989, ANN I H POINCARE-PHY, V51, P23
[6]   STOCHASTIC LOCALIZATION, QUANTUM-MECHANICS ON PHASE-SPACE AND QUANTUM SPACE-TIME [J].
ALI, ST .
RIVISTA DEL NUOVO CIMENTO, 1985, 8 (11) :1-128
[7]   GEOMETRIC-QUANTIZATION - MODULAR REDUCTION THEORY AND COHERENT STATES [J].
ALI, ST ;
EMCH, GG .
JOURNAL OF MATHEMATICAL PHYSICS, 1986, 27 (12) :2936-2943
[8]   EXTENDED HARMONIC-ANALYSIS OF PHASE-SPACE REPRESENTATIONS FOR THE GALILEI GROUP [J].
ALI, ST ;
PRUGOVECKI, E .
ACTA APPLICANDAE MATHEMATICAE, 1986, 6 (01) :19-45
[9]   ORDERING PROBLEM IN QUANTUM-MECHANICS - PRIME QUANTIZATION AND A PHYSICAL INTERPRETATION [J].
ALI, ST ;
DOEBNER, HD .
PHYSICAL REVIEW A, 1990, 41 (03) :1199-1210
[10]  
ALI ST, 1992, CLASSICAL QUANTUM SY