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GENERALIZATION OF CLASSICAL STATISTICAL MECHANICS TO QUANTUM MECHANICS AND STABLE PROPERTY OF CONDENSED MATTER [PDF]

Modern Physics Letters B, 2004
Classical statistical average values are generally generalized to average values of quantum mechanics. It is discovered that quantum mechanics is a direct generalization of classical statistical mechanics, and we generally deduce both a new general continuous eigenvalue equation and a general discrete eigenvalue equation in quantum mechanics, and ...
Huang, Y. C., Ma, F. C., Zhang, N.
openaire   +4 more sources

Fifty years of Middle European Cooperation: a personal perspective of the physical evolution in statistical mechanics and condensed matter

Journal of Statistical Mechanics: Theory and Experiment
Abstract The 50th Anniversary of Middle European Cooperation (MECO) conferences is celebrated by recalling how from the programs of MECO meetings, it is possible to follow the evolution of Condensed Matter and Statistical Mechanics of the last fifty years. It will be unravelled a personal view of how MECO meetings in the decades actively
Carlo Di Castro
openaire   +2 more sources

Statistical Mechanics and Applications in Condensed Matter [PDF]

Physics Today, 2016
E. Tosatti
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Statistical mechanics of Floquet quantum matter: exact and emergent conservation laws [PDF]

Journal of Physics: Condensed Matter, 2021
Equilibrium statistical mechanics rests on the assumption of chaotic dynamics of a system modulo the conservation laws of local observables: extremization of entropy immediately gives Gibbs’ ensemble (GE) for energy conserving systems and a generalized ...
A. Haldar, Arnab Das
semanticscholar   +1 more source

Why neural functionals suit statistical mechanics [PDF]

Journal of Physics: Condensed Matter, 2023
We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by Sammüller et al
Florian Sammüller, Sophie Hermann, Matthias Schmidt   +2 more
semanticscholar   +1 more source

Why Noether’s theorem applies to statistical mechanics [PDF]

Journal of Physics: Condensed Matter, 2021
Noether’s theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system.
Sophie Hermann, M. Schmidt
semanticscholar   +1 more source

Developments in the Tensor Network — from Statistical Mechanics to Quantum Entanglement [PDF]

Journal of the Physical Society of Japan, 2021
Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity.
K. Okunishi, T. Nishino, H. Ueda
semanticscholar   +1 more source

A condensed-matter analogue of the false vacuum [PDF]

, 2021
Through experimental investigation into the behaviour of a polar dielectric working fluid, an ideal ‘quasi-thermodynamic’ cycle has been established.
M. Gibbons
semanticscholar   +1 more source

Statistical Mechanics of Discrete Multicomponent Fragmentation [PDF]

Condensed Matter, 2020
We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer multicomponent mass is
T. Matsoukas
semanticscholar   +1 more source

Investigation of Random Matrix Theory for Statistical Mechanics and Quantum Physics Applications

Mathematical Statistician and Engineering Applications, 2021
Due to its capability to explain large systems with chaotic behaviour, Random Matrix Theory (RMT) has drawn a lot of interest in the domains of Statistical Mechanics and Quantum Physics.
A. Kumar
semanticscholar   +1 more source