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The Foundation of Classical Mechanics
Encyclopedia, 2021 Mechanics is the science of the equilibrium and motion of bodies subject to forces. The adjective classical, hence Classical Mechanics, was added in the 20th century to distinguish it from relativistic mechanics which studies motion with speed close to ...
Danilo Capecchi
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Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]
EPJ Web of Conferences, 2022 Decoherence theory explains how quantum mechanics gives rise to classical mechanics through the entanglement of a quantum system’s evolution with the degrees of freedom of the environment.
Bringuier Eric
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Quantum–Classical Mechanics and the Franck–Condon Principle
Computer Sciences & Mathematics Forum, 2023 Quantum–classical mechanics and the Franck–Condon principle related to quantum mechanics are discussed as two alternative theoretical approaches to molecular optical spectroscopy.
Vladimir V. Egorov
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Transmutation of central forces and Bertrand’s theorem [PDF]
Theoretical and Applied Mechanics, 2023 The transmutation of central forces, or dual law, is a transformation linking potentials in power law relative to the distance, that is, those having a positive exponent to those having a negative exponent.
Carimalo Christian
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Real numbers are the hidden variables of classical mechanics [PDF]
Quantum Studies: Mathematics and Foundations, 2019 Do scientific theories limit human knowledge? In other words, are there physical variables hidden by essence forever? We argue for negative answers and illustrate our point on chaotic classical dynamical systems.
N. Gisin
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Elementary Solution of Kepler Problem (and a few other problems)
Revista Brasileira de Ensino de Física, 2022 We present a simple method to obtain the solution of a few orbital problems: the Kepler problem, the modified Kepler problem by the addition of an inverse square potential and linear force.
M. Moriconi
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 One of modern approaches to a problem of the coordination of classical mechanics and the statistical physics - the functional mechanics is considered.
Andrey I Mikhailov
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Classical Supersymmetric Mechanics [PDF]
, 2000 We analyse a supersymmetric mechanical model derived from (1+1)-dimensional field theory with Yukawa interaction, assuming that all physical variables take their values in a Grassmann algebra B.
Berezin +8 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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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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