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首页> 外文期刊>Foundations of Physics: An International Journal Devoted to the Conceptual Bases and Fundamental Theories of Modern Physics, Biophysics & Cosmology >Hamiltonian Structure of the Schrodinger Classical Dynamical System
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Hamiltonian Structure of the Schrodinger Classical Dynamical System

机译：Hamiltonian Structure of the Schrodinger Classical Dynamical System

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摘要

The connection between quantum mechanics and classical statistical mechanics has motivated in the past the representation of the Schrodinger quantum-wave equation in terms of "projections" onto the quantum configuration space of suitable phase-space asymptotic kinetic models. This feature has suggested the search of a possible exact super-dimensional classical dynamical system (CDS), denoted as Schrodinger CDS, which uniquely determines the time-evolution of the underlying quantum state describing a set of N like and mutually interacting quantum particles. In this paper the realization of the same CDS in terms of a coupled set of Hamiltonian systems is established. These are respectively associated with a quantum-hydrodynamic CDS advancing in time the quantum fluid velocity and a further one the RD-CDS, describing the relative dynamics with respect to the quantum fluid.

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