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NILPOTENT CLASSICAL MECHANICS [PDF]

open access: yesInternational 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
openaire   +3 more sources

Classical mechanics as nonlinear quantum mechanics [PDF]

open access: yes, 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
core   +1 more source

Noncommutative Classical Mechanics [PDF]

open access: yesInternational 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

Thermodynamics for Trajectories of a Mass Point [PDF]

open access: yes, 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
core   +2 more sources

Classical analogue to driven quantum bits based on macroscopic pendula

open access: yesScientific 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

On obtaining classical mechanics from quantum mechanics [PDF]

open access: yes, 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
core   +2 more sources

Assessing learning outcomes in middle-division classical mechanics: The Colorado Classical Mechanics and Math Methods Instrument

open access: yesPhysical 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
doaj   +1 more source

Quantum–Classical Mechanics: Nano-Resonance in Polymethine Dyes

open access: yesMathematics, 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
doaj   +1 more source

Classical mechanics with lapse [PDF]

open access: yes, 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
core   +3 more sources

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