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The Foundation of Classical Mechanics

open access: yesEncyclopedia, 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
doaj   +1 more source

Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]

open access: yesEPJ 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
doaj   +1 more source

Quantum–Classical Mechanics and the Franck–Condon Principle

open access: yesComputer 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
doaj   +1 more source

Transmutation of central forces and Bertrand’s theorem [PDF]

open access: yesTheoretical 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
doaj   +1 more source

Elementary Solution of Kepler Problem (and a few other problems)

open access: yesRevista 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
doaj   +1 more source

The functional mechanics: evolution of the moments of distribution function and the poincare recurrence theorem

open access: yesVestnik 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
doaj   +3 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

Classical Supersymmetric Mechanics [PDF]

open access: yes, 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
core   +2 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

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

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