DYNAMICS ON SL(2,R)XU(1)

被引：11

作者：

ALDAYA, V

DEAZCARRAGA, JA

BISQUERT, J

CERVERO, JM

机构：

[1] UNIV CASTILLA LA MANCHA,ESCUELA UNIV POLITECN,DEPT FIS,E-02071 ALBACETE,SPAIN

[2] UNIV SALAMANCA,DEPT FIS TEOR,E-37008 SALAMANCA,SPAIN

[3] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,BLACKETT LAB,LONDON SW7 2BZ,ENGLAND

[4] UNIV CAMBRIDGE,DEPT APPL MATH & THEORET PHYS,CAMBRIDGE CB3 9EW,ENGLAND

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1990年 / 23卷 / 05期

关键词：

D O I：

10.1088/0305-4470/23/5/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A complete analysis of the quantum dynamical system defined by the quantum group SL(2,R)tilde-(X)U(1) is made. This quantum group, which is primarily related to the relativistic harmonic oscillator, is also shown to provide the quantum dynamics of a free particle moving in (1+1)-dimensional anti-de Sitter spacetime. The latter interpretation illustrates the capabilities of the present group approach to quantisation in dealing with dynamical systems in more general spacetimes.

引用

页码：707 / 720

页数：14

共 38 条

[1] KAC-MOODY GROUP-REPRESENTATIONS AND GENERALIZATION OF THE SUGAWARA CONSTRUCTION OF THE VIRASORO ALGEBRA [J].