We discuss the unresolved problem of proving rigorously that in the classical limit ℏ→0, the quantum-thermodynamic entropy functional tends to the classical entropy functional. We state rather restrictive conditions that define the general problem of finding a complete classical phasespace representation of quantum kinematics. Whether the problem admits of solutions remains an unresolved question. We discuss a physically interesting attempt to relate the structure in the classical limit ℏ→0 of the well-known Blokhintzev, Wigner, and Wehrl phase-space functions to the spectral expansion of the quantum state operator. © 1984 American Institute of Physics.

On the relation between classical and quantum-thermodynamic entropy

BERETTA, Gian Paolo
1984-01-01

Abstract

We discuss the unresolved problem of proving rigorously that in the classical limit ℏ→0, the quantum-thermodynamic entropy functional tends to the classical entropy functional. We state rather restrictive conditions that define the general problem of finding a complete classical phasespace representation of quantum kinematics. Whether the problem admits of solutions remains an unresolved question. We discuss a physically interesting attempt to relate the structure in the classical limit ℏ→0 of the well-known Blokhintzev, Wigner, and Wehrl phase-space functions to the spectral expansion of the quantum state operator. © 1984 American Institute of Physics.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11379/161323
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