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Noncommutative Classical Mechanics [PDF]
International Journal of Theoretical Physics, 2004 In this work, I investigate the noncommutative Poisson algebra of classical observables corresponding to a proposed general Noncommutative Quantum Mechanics, \cite{1}. I treat some classical systems with various potentials and some Physical interpretations are given concerning the presence of noncommutativity at large scales (Celeste Mechanics ...
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Indeterminism in Physics, Classical Chaos and Bohmian Mechanics: Are Real Numbers Really Real? [PDF]
Erkenntnis: An International Journal of Scientific Philosophy, 2018 It is usual to identify initial conditions of classical dynamical systems with mathematical real numbers. However, almost all real numbers contain an infinite amount of information.
N. Gisin
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Gibbs and Boltzmann Entropy in Classical and Quantum Mechanics [PDF]
Statistical Mechanics and Scientific Explanation, 2019 The Gibbs entropy of a macroscopic classical system is a function of a probability distribution over phase space, i.e., of an ensemble. In contrast, the Boltzmann entropy is a function on phase space, and is thus defined for an individual system. Our aim
S. Goldstein +3 more
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On obtaining classical mechanics from quantum mechanics [PDF]
, 2006 Constructing a classical mechanical system associated with a given quantum mechanical one, entails construction of a classical phase space and a corresponding Hamiltonian function from the available quantum structures and a notion of coarser observations.
Ashtekar A +5 more
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Classical analogue to driven quantum bits based on macroscopic pendula
Scientific Reports, 2023 Quantum mechanics increasingly penetrates modern technologies but, due to its non-deterministic nature seemingly contradicting our classical everyday world, our comprehension often stays elusive.
Heribert Lorenz +4 more
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Equivalent and Inequivalent Formulations of Classical Mechanics
British Journal for the Philosophy of Science, 2019 In this article, I examine whether or not the Hamiltonian and Lagrangian formulations of classical mechanics are equivalent theories. I do so by applying a standard for equivalence that was recently introduced into philosophy of science by Halvorson ...
T. Barrett
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Colloquium : Statistical mechanics and thermodynamics at strong coupling: Quantum and classical [PDF]
, 2019 The question of how classical systems approach thermal equilibrium is as old as the foundations of thermodynamics and statistical mechanics. How quantum systems decohere and thermalize is even more puzzling. This Colloquium provides an account of how the
P. Talkner, P. Hänggi
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Quantum mechanics as classical statistical mechanics with an ontic extension and an epistemic restriction [PDF]
Nature Communications, 2017 Where does quantum mechanics part ways with classical mechanics? How does quantum randomness differ fundamentally from classical randomness? We cannot fully explain how the theories differ until we can derive them within a single axiomatic framework ...
A. Budiyono, D. Rohrlich
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Classicality in quantum mechanics [PDF]
Journal of Physics: Conference Series, 2007 Converence talk presented at DICE 2006 in Piombino.
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Elementary Classical Mechanics
, 2023 This book consists of material for a one term course in classical mechanics presented to first year mathematics majors at the University of Bristol. Unlike the undergraduate mathematics curriculum in the United States, the United Kingdom has a rich tradition of teaching classical mechanics (among other courses that might be viewed as `'theoretical ...
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