HUSIMI, WIGNER, TÖPLITZ, QUANTUM STATISTICS AND ANTICANONICAL TRANSFORMATIONS - Département de mathématiques Access content directly
Preprints, Working Papers, ... Year : 2019

HUSIMI, WIGNER, TÖPLITZ, QUANTUM STATISTICS AND ANTICANONICAL TRANSFORMATIONS

Thierry Paul
  • Function : Author
  • PersonId : 878449
  • IdRef : 158973372

Abstract

We study the behaviour of Husimi, Wigner and Töplitz symbols of quantum density matrices when quantum statistics are tested on them, that is when on exchange two coordinates in one of the two variables of their integral kernel. We show that to each of these actions is associated a canonical transform on the cotangent bundle of the underlying classical phase space. Equivalently can one associate a complex canonical transform on the complexification of the phase-space. In the off-diagonal Töplitz representation introduced in [P], the action considered is associated to a complex aanticanonical relation.
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Dates and versions

hal-02008709 , version 1 (05-02-2019)
hal-02008709 , version 2 (20-07-2022)

Identifiers

  • HAL Id : hal-02008709 , version 1

Cite

Thierry Paul. HUSIMI, WIGNER, TÖPLITZ, QUANTUM STATISTICS AND ANTICANONICAL TRANSFORMATIONS. 2019. ⟨hal-02008709v1⟩

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UNIV-PARIS-SACLAY
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