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

页码：183 / 188

页数：6

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