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The Classical–Quantum Correspondence

2022
This Element provides an entry point for philosophical engagement with quantization and the classical limit. It introduces the mathematical tools of C*-algebras as they are used to compare classical and quantum physics. It then employs those tools to investigate philosophical issues surrounding theory change in physics.
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Classical collisions and correspondence principle

Journal of Physics B: Atomic and Molecular Physics, 1970
An outstanding problem in the classical theory of atomic collisions has been its inability to produce the correct logarithmic dependence of certain excitation cross sections. The authors show that this is because the wrong correspondence has been made between classical and quantum mechanics.
I C Percival, D Richards
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Classical-Quantum Correspondence for Above-Threshold Ionization

Physical Review Letters, 2014
We measure high resolution photoelectron angular distributions (PADs) for above-threshold ionization of xenon atoms in infrared laser fields. Based on the Ammosov-Delone-Krainov theory, we develop an intuitive quantum-trajectory Monte Carlo model encoded with Feynman's path-integral approach, in which the Coulomb effect on electron trajectories and ...
Min, Li   +7 more
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Distribution corresponding to classical thermodynamics

Physics of Wave Phenomena, 2015
A distribution corresponding to classical thermodynamics is constructed. The concept of degrees of freedom is generalized and a concept of temperature-dependent number of collective degrees of freedom is introduced. A relationship between the theory of numbers and mesoscopic physics is established.
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Classical-quantum correspondence for multilevel systems

Physical Review A, 1975
The properties of $r$-mode harmonic-oscillator coherent states are reviewed. In particular, the $\mathcal{D}$-algebra differential-operator realization of the creation and annihilation operators on the coherent states and their diagonal projectors is constructed.
R. Gilmore, C. M. Bowden, L. M. Narducci
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Quantum-Classical Correspondence: Dynamical Quantization and the Classical Limit

Journal of Physics A: Mathematical and General, 2004
In only 150 pages, not counting appendices, references, or the index, this book is one author's perspective of the massive theoretical and philosophical hurdles in the no-man's-land separating the classical and quantum domains of physics. It ends with him emphasizing his own theoretical contribution to this area.
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On quantum-classical correspondence in classical studies of atomic processes

Journal of Physics A: Mathematical and General, 2001
Summary: A general method for the construction of the optimum classical description of a physical process on the atomic scale is presented. The method is developed for physical systems whose quantum versions are obtained by canonical quantization of their classical counterparts and it is in principle applicable even in the case of `low' quantum numbers.
Raković, M. J.   +3 more
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Correspondence of classical and quantum irreversibilities

Quantum and Semiclassical Optics: Journal of the European Optical Society Part B, 1998
The reversibility of classical mechanics is broken by the Carnot principle; in quantum mechanics, the time inversion invariance is broken by the principle of state decoherence. In both cases, a greater complexity produces a faster irreversibility. These principles are applied to problems related to absorption and diffusion of light.
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Bulk–disclination correspondence in topological crystalline insulators

Nature, 2021
Fei-Fei Li, Yin Poo, Jian-Hua Jiang
exaly  

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