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Method of orbits of coassociated representation in thermodynamics of the lie noncompact groups
Russian Physics Journal, 2007In the present paper, an efficient method of solving the main problem of thermodynamics of homogeneous spaces is presented. The method is based on the formalism of the noncommutative harmonic analysis relying on the method of orbits of coassociated representation.
V. V. Mikheev, I. V. Shirokov
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Application of the K-Orbit Method to a Solution of Thermodynamics Problems for Noncompact Lie Groups
Russian Physics Journal, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mikheev, V. V., Shirokov, I. V.
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2021
The objective of this chapter is to make better known Jean-Marie Souriau works, more particularly his symplectic model of statistical physics, called “Lie groups thermodynamics”. This model was initially described in chapter IV “Statistical Mechanics” of his book “Structure of dynamical systems” published in 1969.
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The objective of this chapter is to make better known Jean-Marie Souriau works, more particularly his symplectic model of statistical physics, called “Lie groups thermodynamics”. This model was initially described in chapter IV “Statistical Mechanics” of his book “Structure of dynamical systems” published in 1969.
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2015
We introduce the Symplectic Structure of Information Geometry based on Souriau’s Lie Group Thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its momentum space, defining physical observables like energy, heat, and momentum as pure geometrical objects.
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We introduce the Symplectic Structure of Information Geometry based on Souriau’s Lie Group Thermodynamics model, with a covariant definition of Gibbs equilibrium via invariances through co-adjoint action of a group on its momentum space, defining physical observables like energy, heat, and momentum as pure geometrical objects.
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Polysymplectic Souriau Lie Group Thermodynamics and The Geometric Structure of Its Coadjoint Orbits
Morsalani, Mohamed El +1 moreopenaire +1 more source
Quantum Souriau Lie Group Thermodynamics: A Comprehensive Review with Novel Insights and Results
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