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Abstract: . For a quantum observable A h depending on a parameter h we define the notion "A h converges in the classical limit". The limit is a function on phase space. Convergence is in norm in the sense that A h ! 0 is equivalent with kA h k ! 0. The h-wise product of convergent observables converges to the product of the limiting phase space functions. h \Gamma1 times the commutator of suitable observables converges to the Poisson bracket of the limits. For a large class of convergent... (Update)
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BibTeX entry: (Update)
R.F. Werner:"The classical limit of quantum theory", Preprint, Osnabr uck 1994 http://citeseer.ist.psu.edu/article/werner95classical.html More
@misc{ werner94classical,
author = "R. Werner",
title = "The classical limit of quantum theory",
text = "R.F. Werner:The classical limit of quantum theory, Preprint, Osnabr uck
1994",
year = "1994",
url = "citeseer.ist.psu.edu/article/werner95classical.html" }
Citations (may not include all citations):50 the quantum correction for thermodynamic equilibrium (context) - Wigner - 1932
13 Classical limit of the quantized hyperbolic toral automorphi.. - Esposti, Graffi et al. - 1995
12 Ground states of the infinite q-deformed Heisenberg ferromag.. - Gottstein, Werner - 1994
12 Deformation quantization of Heisenberg manifolds (context) - Rieffel - 1989
11 New York (context) - Katznelson, to et al. - 1968
9 Evolution of semiclassical quantum states in phase space (context) - Berry, Balazs - 1979
8 The classical limit of quantum partition of functions (context) - Simon - 1980
5 The classical limit for quantum mechanical correlation funct.. (context) - Hepp - 1974
4 Fedoriuk: Semi-classical approximation in quantum mechanics (context) - Maslov - 1981
4 When is the Wigner quasi-probability density nonnegative (context) - Hudson - 1974
4 Quantum harmonic analysis on phase space (context) - Werner - 1984
4 New York (context) - Kato, for et al. - 1984
4 North Holland (context) - Holevo, statistical et al. - 1982
4 Deformations of algebras of observables and the classical li.. - Landsman - 1993
3 Wigner and Husimi functions in quantum mechanics (context) - Takahashi - 1986
[Article contains additional citations not shown here]
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