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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.
Berezin +8 more
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Randomness in Classical Mechanics and Quantum Mechanics [PDF]
Foundations of Physics, 2009 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 ...
A. Yu Khrennikov +19 more
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On the Relationship of Quantum Mechanics to Classical Electromagnetism and Classical Relativistic Mechanics [PDF]
European Journal of Physics, 2004 Some connections between quantum mechanics and classical physics are explored. The Planck-Einstein and De Broglie relations, the wavefunction and its probabilistic interpretation, the Canonical Commutation Relations and the Maxwell--Lorentz Equation may ...
Amrein W O +29 more
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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 (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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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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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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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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Classical mechanics with lapse [PDF]
, 1995 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.
Schmidt, Hans - Juergen
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