Results 11 to 20 of about 51,330 (260)
Computation in classical mechanics [PDF]
American Journal of Physics, 2008 One way to introduce computation into the physics curriculum is to include it in a standard upper-level physics course. A course in intermediate classical mechanics is well-suited for this purpose. We discuss our approach and examples of student projects on solving differential equations and Liouville’s theorem, projectile motion on a rotating Earth ...
Timberlake, Todd, Hasbun, Javier E.
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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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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
Paul Downen, Zena M. Ariola
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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
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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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Classical Mechanics as Nonlinear Quantum Mechanics [PDF]
AIP Conference Proceedings, 2007 7 pages, invited talk given at conference Quantum Theory: Reconsideration of Foundations 4, Vaxjo, Sweden, June 11-16 ...
Hrvoje Nikolić +5 more
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Quantum–Classical Mechanics: Nano-Resonance in Polymethine Dyes
Mathematics, 2022 It is well known in quantum mechanics that the theory of quantum transitions is based on the convergence of the series of time-dependent perturbation theory. This series converges in atomic and nuclear physics. However, in molecular and chemical physics,
Vladimir V. Egorov
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Randomness in Classical Mechanics and Quantum Mechanics [PDF]
Foundations of Physics, 2010 The Copenhagen interpretation of quantum mechanics assumes the existence of the classical deterministic Newtonian world. We argue that in fact the Newton determinism in classical world does not hold and in classical mechanics there is fundamental and irreducible randomness.
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Development of an Algorithm to Determine the Most Efficient Trajectories in Directional Wells [PDF]
Revista Brasileira de Ensino de FísicaWe present the development of an algorithm designed to determine the most efficient trajectories for directional wells, a key method used in oil and gas extraction.
R.R. Francisco +4 more
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Supersymmetry in Classical Mechanics
, 2001 We briefly review the universal supersymmetry present in classical hamiltonian systems and show its applications to field theories.
DEOTTO E, GOZZI, ENNIO, MAURO D.
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