Gauge-invariant counterparts and quantization of systems under holonomic constraints

被引：3
作者：
Krivoruchenko, MI
Faessler, A
Raduta, AA
Fuchs, C
机构：
[1] Inst Theoret & Expt Phys, Moscow 117259, Russia
[2] Univ Tubingen, Inst Theoret Phys, D-72076 Tubingen, Germany
[3] Univ Bucharest, Dept Theoret Phys & Math, Bucharest, Romania
[4] Inst Phys & Nucl Engn, Bucharest, Romania
来源：
PHYSICS LETTERS B | 2005年 / 608卷 / 1-2期
基金：
俄罗斯基础研究基金会;
关键词：
holonomic systems; second-class constraints; hidden gauge symmetry; generalized Hamiltonian dynamics; quantization;
D O I：
10.1016/j.physletb.2004.12.058
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Systems under holonomic constraints are classified within the generalized Hamiltonian framework as second-class constraints systems. We show that each system of point particles with holonomic constraints has a hidden gauge symmetry which allows to quantize it in the original phase space as a first-class constraints system. The proposed method is illustrated with quantization of a point particle moving on an (n - 1)-dimensional sphere Sn-1 as well as its field theory analog the O(n) nonlinear sigma model. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：164 / 170
页数：7
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