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The Foundation of Classical Mechanics [PDF]
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
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Classical Supersymmetric Mechanics [PDF]
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.
Rolf Heumann, Nicholas S. Manton
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The S-matrix in classical mechanics [PDF]
In the Hilbert-space version of classical mechanics, scattering theory forN-particle systems is developed in close analogy to the quantum case. Asymptotic completeness is proved for forces of finite range. Infinite-range forces lead to the problem of stability of bound states and can be dealt with only in some simple cases.
Walter Hunziker
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Invariants in Supersymmetric Classical Mechanics
The bosonic second invariant of SuperLiouville models in supersymmetric classical mechanics is described.
A. Alonso-Izquierdo+2 more
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Type II entanglement in classical mechanics
A classical analog of entanglement using classical light beams was proposed recently. It was shown that this analog is valid only for single-particle entanglement (type II).
Yehuda Roth
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Disorder-induced quantum-to-classical transition, or how the world becomes classical [PDF]
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
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Quantum–Classical Mechanics and the Franck–Condon Principle
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
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Elementary Solution of Kepler Problem (and a few other problems)
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
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Transmutation of central forces and Bertrand’s theorem [PDF]
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
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