Phase space view of quantum mechanical systems and Fisher information

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Pennini and Plastino showed that the form of the Fisher information generated by the canonical distribution function reflects the intrinsic structure of classical mechanics. Now, a quantum mechanical generalization of the Pennini–Plastino theory is presented based on the thermodynamical transcription of the density functional theory. Comparing to the classical case, the phase-space Fisher information contains an extra term due to the position dependence of the temperature. However, for the special case of constant temperature, the expression derived bears resemblance to the classical one. A complete analogy to the classical case is demonstrated for the linear harmonic oscillator.

Original languageEnglish
Pages (from-to)2200-2203
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume380
Issue number27-28
DOIs
Publication statusPublished - Apr 5 2016

Keywords

  • Canonical distribution function
  • Density functional theory
  • Fisher information

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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