A variational principle in Wigner phase-space with applications to statistical mechanics

2011 ◽  
Vol 134 (3) ◽  
pp. 034118 ◽  
Author(s):  
Jens Aage Poulsen
Keyword(s):  
Phase Space ◽  
Variational Principle ◽  
Statistical Mechanics

scholarly journals A VARIATIONAL FORMULATION OF SYMPLECTIC NONCOMMUTATIVE MECHANICS

2007 ◽  
Vol 04 (05) ◽  
pp. 789-805 ◽  
Author(s):  
IGNACIO CORTESE ◽  
J. ANTONIO GARCÍA
Keyword(s):  
Dynamical System ◽  
Phase Space ◽  
Variational Principle ◽  
Configuration Space ◽  
Variational Formulation ◽  
Noncommutative Space ◽  
First Order ◽  
Dynamical Properties ◽  
Definition Of ◽  
Space Noncommutativity

The standard lore in noncommutative physics is the use of first order variational description of a dynamical system to probe the space noncommutativity and its consequences in the dynamics in phase space. As the ultimate goal is to understand the inherent space noncommutativity, we propose a variational principle for noncommutative dynamical systems in configuration space, based on results of our previous work [18]. We hope that this variational formulation in configuration space can be of help to elucidate the definition of some global and dynamical properties of classical and quantum noncommutative space.

scholarly journals Communication: Maximum caliber is a general variational principle for nonequilibrium statistical mechanics

2015 ◽  
Vol 143 (5) ◽  
pp. 051104 ◽  
Author(s):  
Michael J. Hazoglou ◽  
Valentin Walther ◽  
Purushottam D. Dixit ◽  
Ken A. Dill
Keyword(s):  
Variational Principle ◽  
Statistical Mechanics ◽  
Nonequilibrium Statistical Mechanics
Sign in / Sign up

Export Citation Format

Share Document