Results 11 to 20 of about 578,070 (274)

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 $\eta$.
ANDRZEJ FRYDRYSZAK, Bagchi B. K., Berndt R., Carathéodory C., Freed D. A., Kostrikin A. I., Lanczos C., Libermann P., Vershinin V. V.   +8 more
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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 ...
openaire   +2 more sources

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, Ashtekar A, Ashtekar A, Ghanashyam Date, Schilling T, Willis J   +5 more
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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, Sigmund Kohler, Anton Parafilo, Mikhail Kiselev, Stefan Ludwig   +4 more
doaj   +1 more source

Thermodynamics for Trajectories of a Mass Point [PDF]

, 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, Phan, Khiem Hong, Quach, Nhi My Uyen   +2 more
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Erlangen Programme at Large 3.1: Hypercomplex Representations of the Heisenberg Group and Mechanics [PDF]

, 2011
In the spirit of geometric quantisation we consider representations of the Heisenberg(--Weyl) group induced by hypercomplex characters of its centre. This allows to gather under the same framework, called p-mechanics, the three principal cases: quantum ...
Kisil, Vladimir V.
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Assessing learning outcomes in middle-division classical mechanics: The Colorado Classical Mechanics and Math Methods Instrument

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, Leanne Doughty, Anna M. Turnbull, Rachel E. Pepper, Steven J. Pollock   +4 more
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Mixing Quantum and Classical Mechanics [PDF]

, 1996
Using a group theoretical approach we derive an equation of motion for a mixed quantum-classical system. The quantum-classical bracket entering the equation preserves the Lie algebra structure of quantum and classical mechanics: The bracket is ...
A. A. Kirillov, A. Anderson, A. Anderson, B. J. Schwartz, B. Space, C. A. Berger, D. Antoniou, D. J. Diestler, D. Page, F. A. Berezin, F. A. Berezin, F. A. Berezin, F. A. Webster, G. B. Folland, G. C. Ghirardi, G. Stock, H. D. Meyer, I. E. Segal, I. R. Senitzky, I. V. Aleksandrov, J. B. Delos, J. B. Delos, J. C. Tully, J. C. Tully, J. C. Tully, J. C. Tully, J. Maddox, K. H. Hofmann, K. Hepp, K. R. W. Jones, L. A. Coburn, L. A. Coburn, L. Diósi, L. Diósi, L. Diósi, M. A. Shubin, M. H. Mittelman, M. P. Allen, N. F. Mott, N. Makri, Oleg V. Prezhdo, P. Ehrenfest, P. J. Rossky, P. Pechukas, P. Pechukas, R. Howe, R. Kosloff, R. Omnès, S. Hammes-Schiffer, V. Bargmann, V. Fock, V. Guillemin, V. I. Arnold, V. I. Tatarskii, V. V. Kisil, Vladimir V. Kisil, W. Boucher, W. H. Miller, W. H. Miller, W. H. Zurek   +59 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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