Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 161 (2) ◽  
pp. 13-75 ◽  
Author(s):  
Lev V. Prokhorov ◽  
Sergei V. Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems

Phase space of mechanical systems with a gauge group

1991 ◽  
Vol 34 (2) ◽  
pp. 108-140 ◽  
Author(s):  
Lev V Prokhorov ◽  
S V Shabanov
Keyword(s):  
Phase Space ◽  
Gauge Group ◽  
Mechanical Systems

scholarly journals ON BARYON NUMBER NONCONSERVATION IN TWO-DIMENSIONAL O(2N+1) QCD

2010 ◽  
Vol 25 (06) ◽  
pp. 1253-1266
Author(s):  
TAMAR FRIEDMANN
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Matrix Models ◽  
Gauge Group ◽  
Baryon Number ◽  
Two Dimensional ◽  
Infinite Dimensional ◽  
Field Approach ◽  
Large N ◽  
Classical Dynamical System

We construct a classical dynamical system whose phase space is a certain infinite-dimensional Grassmannian manifold, and propose that it is equivalent to the large N limit of two-dimensional QCD with an O (2N+1) gauge group. In this theory, we find that baryon number is a topological quantity that is conserved only modulo 2. We also relate this theory to the master field approach to matrix models.

QUANTIZATION OF MECHANICAL SYSTEMS WITH FRACTIONAL DERIVATIVES

2005 ◽  
Vol 20 (27) ◽  
pp. 2095-2099 ◽  
Author(s):  
SAMI I. MUSLIH ◽  
EQAB M. RABEI
Keyword(s):  
Phase Space ◽  
Path Integral ◽  
Fractional Derivatives ◽  
Mechanical Systems ◽  
Path Integral Quantization

In this paper, the mechanical systems with fractional derivatives are studied by using Riewe's formalism. The path integral quantization of these systems is constructed as an integration over the canonical phase space coordinated. An example is shown.

Perturbation to Mei symmetry and Mei adiabatic invariants for mechanical systems in phase space

2008 ◽  
Vol 17 (6) ◽  
pp. 1957-1961 ◽  
Author(s):  
Zhang Ming-Jiang ◽  
Fang Jian-Hui ◽  
Zhang Xiao-Ni ◽  
Lu Kai
Keyword(s):  
Phase Space ◽  
Mechanical Systems ◽  
Adiabatic Invariants ◽  
Mei Symmetry

A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space

2006 ◽  
Vol 46 (3) ◽  
pp. 385-388 ◽  
Author(s):  
Wang Peng ◽  
Fang Jian-Hui ◽  
Zhang Peng-Yu ◽  
Ding Ning
Keyword(s):  
Phase Space ◽  
Variable Mass ◽  
Mechanical Systems
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