Quantum mechanics as an approximation of statistical mechanics for classical fields
نویسندگان
چکیده
منابع مشابه
Quantum mechanics as an approximation of classical statistical mechanics
We show that the probabilistic formalism of QM can be obtained as a special projection of classical statistical mechanics for systems with an infinite number of degrees of freedom. Such systems can be interpreted as classical fields. Thus in our approach QM is a projection of (prequantum) classical statistical field theory (PCSFT). This projection is based on the Taylor expansion of classical p...
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We show that, in spite of a rather common opinion, quantum mechanics can be represented as an approximation of classical statistical mechanics. The approximation under consideration is based on the ordinary Taylor expansion of physical variables. The quantum contribution is given by the term of the second order. To escape technical difficulties related to the infinite dimension of phase space f...
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Classical mechanics is formulated in Hilbert space with the introduction of a commutative product of operators, an antisymmetric bracket, and a quasidensity operator. These are analogues of the star product, the Moyal bracket, and the Wigner function in the phase space formulation of quantum mechanics. Classical mechanics can now be viewed as a deformation of quantum mechanics. The forms of sem...
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The classical-statistical limit of quantum mechanics is studied. It is proved that the limit ~ → 0 is the good limit for the operators algebra but it si not so for the state compact set. In the last case decoherence must be invoked to obtain the classical-statistical limit.
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ژورنال
عنوان ژورنال: Reports on Mathematical Physics
سال: 2007
ISSN: 0034-4877
DOI: 10.1016/s0034-4877(07)80345-4