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Classical Supersymmetric Mechanics [PDF]
Annals of Physics, 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. Utilizing the symmetries of the model we demonstrate how for a certain class of potentials the equations of motion can be solved completely for any B.
Heumann, R., Manton, N. S.
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NILPOTENT CLASSICAL MECHANICS [PDF]
International Journal of Modern Physics A, 2007 The formalism of nilpotent mechanics is introduced in the Lagrangian and Hamiltonian form. Systems are described using nilpotent, commuting coordinates η. Necessary geometrical notions and elements of generalized differential η-calculus are introduced. The so-called s-geometry, in a special case when it is orthogonally related to a traceless symmetric
ANDRZEJ FRYDRYSZAK +8 more
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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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Type II entanglement in classical mechanics
Results in Physics, 2021 A classical analog of entanglement using classical light beams was proposed recently. It was shown that this analog is valid only for single-particle entanglement (type II).
Yehuda Roth
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Classical (co)recursion: Mechanics
Journal of Functional Programming, 2023 Abstract Recursion is a mature, well-understood topic in the theory and practice of programming. Yet its dual, corecursion is underappreciated and still seen as exotic. We aim to put them both on equal footing by giving a foundation for primitive corecursion based on computation, giving a terminating calculus analogous to the original computational ...
PAUL DOWNEN, ZENA M. ARIOLA
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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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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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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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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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