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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 ...
openaire +2 more sources
Overall equilibrium in the coupling of peridynamics and classical continuum mechanics
Computer Methods in Applied Mechanics and Engineering, 2021 Coupling peridynamics based computational tools with those using classical continuum mechanics can be very beneficial, because it can provide a means to generate a computational method that combines the efficiency of classical continuum mechanics with ...
Greta Ongaro +4 more
semanticscholar +1 more source
Classical mechanics as nonlinear quantum mechanics [PDF]
, 2007 All measurable predictions of classical mechanics can be reproduced from a quantum-like interpretation of a nonlinear Schrodinger equation. The key observation leading to classical physics is the fact that a wave function that satisfies a linear equation
Andrei Yu. Khrennikov +5 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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Measurement theory in classical mechanics [PDF]
Progress of Theoretical and Experimental Physics, 2019 We investigate measurement theory in classical mechanics in the formulation of classical mechanics by Koopman and von Neumann (KvN), which uses Hilbert space. We show a difference between classical and quantum mechanics in the “relative interpretation”
So Katagiri
semanticscholar +1 more source
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
doaj +1 more source
Thermodynamics for Trajectories of a Mass Point [PDF]
, 2014 On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated geometrically as ...
Kurihara, Yoshimasa +2 more
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Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics [PDF]
, 2011 In the spirit of geometric quantisation we consider representations of the Heisenberg(--Weyl) group induced by hypercomplex characters of its centre. This allows to gather under the same framework, called p-mechanics, the three principal cases: quantum ...
Kisil, Vladimir V.
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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
semanticscholar +1 more source
Physical Review Physics Education Research, 2017 Reliable and validated assessments of introductory physics have been instrumental in driving curricular and pedagogical reforms that lead to improved student learning. As part of an effort to systematically improve our sophomore-level classical mechanics
Marcos D. Caballero +4 more
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