Results 31 to 40 of about 1,770,713 (345)
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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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
wiley +1 more source
Classical mechanics with lapse [PDF]
Journal of Mathematical Physics, 1996 Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one-dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schrödinger operator.
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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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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
semanticscholar +1 more source
Supersymmetric classical mechanics
Journal of Physics A: Mathematical and General, 1994 We study the classical properties of a supersymmetric system which is often used as a model for supersymmetric quantum mechanics. It is found that the classical dynamics of the bosonic as well as the fermionic degrees of freedom is fully described by a so--called quasi--classical solution.
Georg Junker, Stephan Matthiesen
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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
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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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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