Geometry of 2d spacetime and quantization of particle dynamics

被引：9
|
作者：
Jorjadze, G [1 ]
Piechocki, W
机构：
[1] Razmadze Math Inst, Tbilisi, Georgia
[2] Soltan Inst Nucl Studies, PL-00681 Warsaw, Poland
来源：
PHYSICS LETTERS B | 1999年 / 461卷 / 03期
基金：
俄罗斯基础研究基金会;
关键词：
2d spacetime with constant curvature; dynamical integrals; canonical quantization;
D O I：
10.1016/S0370-2693(99)00841-2
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We analyze classical and quantum dynamics of a relativistic particle in 2d spacetimes with constant curvature. We show that global symmetries of spacetime specify the symmetries of physical phase-space and the corresponding quantum theory. To quantize the systems we parametrize the physical phase-space by canonical coordinates, Canonical quantization leads to unitary irreducible representations of SO (up arrow) (2.1) group. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
收藏
页码：183 / 188
页数：6
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