Abstract
The convenience of coherent state representation is discussed from the viewpoint of what is in a broad sense called the measurement problem in quantum mechanics. Standard quantum theory in coherent state representation is intrinsically related to a number of earlier concepts conciliating quantum and classical processes. From a natural statistical interpretation, free of collapses or measurements, the usual von Neumann-Liiders collapse as well as its quantum state diffusion interpretation follow. In particular, a theory of coupled quantum and classical dynamics arises, containing the fluctuation corrections versus the fenomenological mean-field theories.
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This equation preserves the positivity of Ļ(x, p) provided certain analiticity conditions are satisfied initially. It preserves the pure state property of Ļ though all forthcoming formulae will be valid for mixtures as well. The proofs will be given elsewhere. The Eq. (10) has an equivalent compact form: On the very right, one may observe the classical Liouville evolution equation to appear in the lowest order of the derivatives.
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Proofs will be given elsewhere.
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Ā© 1997 Springer Science+Business Media Dordrecht
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DiĆ³si, L. (1997). Coherent States and the Measurement Problem. In: Ferrero, M., van der Merwe, A. (eds) New Developments on Fundamental Problems in Quantum Physics. Fundamental Theories of Physics, vol 81. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5886-2_15
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DOI: https://doi.org/10.1007/978-94-011-5886-2_15
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