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The standard notion of a classical limit, represented schematically by $\hbar\rightarrow 0$, provides a method for approximating a quantum system by a classical one.
E. Wigner, On the quantum correction for thermodynamic equilibrium, Physical review 40
1932
Earlier work this paper cites.
K. Husimi, Some formal properties of the density matrix, Proceedings of the Physico-Mathematical Society of Japan. 3rd Series 22
1940
Earlier work this paper cites.
H. J. Groenewold, On the principles of elementary quantum mechanics (Springer, 1946)
1946
Earlier work this paper cites.
T. A. Welton, Some observable effects of the quantum-mechanical fluctuations of the electromagnetic field, Phys. Rev. 74
1948
Earlier work this paper cites.
J. E. Moyal, Quantum mechanics as a statistical theory, in Mathematical Proceedings of the Cambridge Philosophical Society , Vol. 45 (Cambridge University Press, 1949) pp. 99–124
1949
Earlier work this paper cites.
B. S. DeWitt, Definition of commutators via the uncertainty principle, Journal of Mathematical Physics 3
1962
Earlier work this paper cites.
E. Sudarshan, Equivalence of semiclassical and quantum mechanical descriptions of statistical light beams, Physical Review Letters 10
1963
Earlier work this paper cites.
R. J. Glauber, Coherent and incoherent states of the radiation field, Physical Review 131
1963
Earlier work this paper cites.
J. R. Klauder, J. McKenna, and D. G. Currie, On“diagonal”coherent-state representations for quantum-mechanical density matrices, Journal of Mathematical Physics 6
1965
Earlier work this paper cites.
R. Pawula, Generalizations and extensions of the fokker-planck-kolmogorov equations, IEEE Transactions on Information Theory 13
1967
Earlier work this paper cites.
E. Sudarshan, Interaction between classical and quantum systems and the measurement of quantum observables, Pramana 6
1976
Earlier work this paper cites.
G. Lindblad, On the generators of quantum dynamical semigroups, Communications in Mathematical Physics 48
1976
Earlier work this paper cites.
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of n-level systems, Journal of Mathematical Physics 17
1976
Earlier work this paper cites.
K. Eppley and E. Hannah, The necessity of quantizing the gravitational field, Foundations of Physics 7
1977
Earlier work this paper cites.
B. Misra and E. G. Sudarshan, The zeno’s paradox in quantum theory, Journal of Mathematical Physics 18
1977
Earlier work this paper cites.
I. V. Aleksandrov, The statistical dynamics of a system consisting of a classical and a quantum subsystem, Zeitschrift für Naturforschung A 36
1981
Earlier work this paper cites.
V. I. Gerasimenko, Dynamical equations of quantum-classical systems, Teoreticheskaya i Matematicheskaya Fizika 50
1982
Earlier work this paper cites.
L. G. Yaffe, Large n limits as classical mechanics, Reviews of Modern Physics 54
1982
Earlier work this paper cites.
K. Takahashi, Wigner and husimi functions in quantum mechanics, Journal of the Physical Society of Japan 55
1986
Earlier work this paper cites.
L. Mandel, Non-classical states of the electromagnetic field, Physica scripta 1986
1986
Earlier work this paper cites.
W. Boucher and J. Traschen, Semiclassical physics and quantum fluctuations, Physical Review D 37
1988
Earlier work this paper cites.
K. Takahashi, Distribution functions in classical and quantum mechanics, Progress of Theoretical Physics Supplement 98
1989
Earlier work this paper cites.
J. C. Tully, Molecular dynamics with electronic transitions, The Journal of Chemical Physics 93
1990
Earlier work this paper cites.
H. Ezawa and Y. Murayama, Quantum Control and Measurement (Elsevier, 1993)
1993
Earlier work this paper cites.
M. J. Gagen, H. M. Wiseman, and G. J. Milburn, Continuous position measurements and the quantum zeno effect, Physical Review A 48
1993
Earlier work this paper cites.
P. Blanchard and A. Jadczyk, Strongly coupled quantum and classical systems and zeno’s effect, Physics Letters A 183
1993
Earlier work this paper cites.
W. H. Zurek and J. P. Paz, Decoherence, chaos, and the second law, Physical Review Letters 72
1994
Earlier work this paper cites.
L. Diosi, Quantum dynamics with two planck constants and the semiclassical limit, arXiv preprint quant-ph/9503023 (1995)
1995
Cited alongside, same era.
R. Werner, The classical limit of quantum theory, arXiv preprint quant-ph/9504016 (1995)
1995
Cited alongside, same era.
J. C. Tully, Mixed quantum–classical dynamics, Faraday Discussions 110
1998
Cited alongside, same era.
J. J. Halliwell, Effective theories of coupled classical and quantum variables from decoherent histories: A new approach to the back reaction problem, Phys. Rev. D 57
1998
Cited alongside, same era.
D. Gottesman, The heisenberg representation of quantum computers, arXiv preprint quant-ph/9807006 (1998)
1998
Cited alongside, same era.
C. M. DeWitt and D. Rickles, The role of gravitation in physics: Report from the 1957 Chapel Hill Conference , Vol. 5 (epubli, 2011)
2011
Later among the works it cites.
C. Ferrie, Quasi-probability representations of quantum theory with applications to quantum information science, Reports on Progress in Physics 74
2011
Later among the works it cites.
C. Barceló, R. Carballo-Rubio, L. J. Garay, and R. Gómez-Escalante, Hybrid classical-quantum formulations ask for hybrid notions, Physical Review A 86
2012
Later among the works it cites.
I. I. Hirschman and D. V. Widder, The convolution transform (Courier Corporation, 2012)
2012
Later among the works it cites.
S. D. Bartlett, T. Rudolph, and R. W. Spekkens, Reconstruction of gaussian quantum mechanics from liouville mechanics with an epistemic restriction, Physical Review A 86
2012
Later among the works it cites.
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1999
Cited alongside, same era.
L. Viola, E. Knill, and S. Lloyd, Dynamical decoupling of open quantum systems, Physical Review Letters 82
1999
Cited alongside, same era.
S. Lloyd, Coherent quantum feedback, Physical Review A 62
2000
Cited alongside, same era.
L. Diósi, N. Gisin, and W. T. Strunz, Quantum approach to coupling classical and quantum dynamics, Phys. Rev. A 61
2000
Cited alongside, same era.
T. Bhattacharya, S. Habib, and K. Jacobs, Continuous quantum measurement and the emergence of classical chaos, Physical review letters 85
2000
Cited alongside, same era.
P. Bertet, S. Osnaghi, A. Rauschenbeutel, G. Nogues, A. Auffeves, M. Brune, J. Raimond, and S. Haroche, A complementarity experiment with an interferometer at the quantum–classical boundary, Nature 411
2001
Cited alongside, same era.
A. Peres and D. R. Terno, Hybrid classical-quantum dynamics, Physical Review A 63
2001
Cited alongside, same era.
B. C. Hall, Lie groups, Lie algebras, and representations (Springer, 2013)
2013
Later among the works it cites.
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2014
Later among the works it cites.
2014
Later among the works it cites.
Y. Tanimura, Real-time and imaginary-time quantum hierarchal fokker-planck equations, The Journal of chemical physics 142
2015
Later among the works it cites.
T. A. Oliynyk, Classical-quantum limits, Foundations of Physics 46
2016
Later among the works it cites.
H.-P. Breuer, E.-M. Laine, J. Piilo, and B. Vacchini, Colloquium: Non-markovian dynamics in open quantum systems, Reviews of Modern Physics 88
2016
Later among the works it cites.
A. Serafini, Quantum continuous variables: a primer of theoretical methods (CRC press, 2017)
2017
Later among the works it cites.
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2018
Later among the works it cites.
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2019
Later among the works it cites.
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2022
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2022
Later among the works it cites.
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