On the Quantum Correction for Thermodynamic Equilibrium.

Wigner, E. P. (1932). On the Quantum Correction for Thermodynamic Equilibrium. Physical Review, 40, 749-759.

Type

Journal article

Intellectual base

Primary research

Year

1932

DOI

10.1103/physrev.40.749

Link

https://doi.org/10.1103/PhysRev.40.749

Cited from

physics

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Primes

• Correspondence Principle
  • The Wigner function provides a bridge: it is a quasi-probability distribution that reduces to classical phase-space probability in the classical limit, but it can take negative values for nonclassical states, signaling the failure of strict point-wise correspondence.

    This sourceIntroduces the Wigner quasi-probability distribution, which reduces to classical phase-space probability in the classical limit but takes negative values for nonclassical states; supports the singular-limit / negative-Wigner-value claim in T1 (D13-104).

• Phase Space
  • Not identical to Hilbert space in quantum mechanics: the quantum analog of phase space is Hilbert space (or projective Hilbert space), with a different geometric structure.

    This sourceDevelops the Wigner quasi-probability distribution, extending phase-space concepts to quantum mechanics; addresses the quantum-classical correspondence and operator-ordering subtleties.

Domain-specific

• Wigner distribution function
  • Marginals recover ordinary energy or probability densities under the adopted normalization, but the joint representation need not be nonnegative.

Verification

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