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Phase-space wavefunctions — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Phase-space_wavefunctions
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T17:36:31.560Z
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Phase-space wavefunctions — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Phase-space_wavefunctions (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_511cda2ef45c (Metraipolis archive dc_511cda2ef45c, sha256 a44ed876bd8c1a6c8b1017f892e90332a6d75ea25c9876731aab474c8d877505)

BibTeX

@misc{dc511cda2ef45c,
  title = {Phase-space wavefunctions — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Phase-space_wavefunctions},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_511cda2ef45c; sha256 a44ed876bd8c1a6c8b1017f892e90332a6d75ea25c9876731aab474c8d877505},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Phase-space_wavefunctions. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Phase-space representation of quantum state vectors is a formulation of quantum mechanics elaborating the phase-space formulation with a Hilbert space. It "is obtained within the framework of the relative-state formulation. For this purpose, the Hilbert space of a quantum system is enlarged by introducing an auxiliary quantum system. Relative-position state and relative-momentum state are defined in the extended Hilbert space of the composite quantum system and expressions of basic operators such as canonical position and momentum operators, acting on these states, are obtained." Thus, it is possible to assign a meaning to the wave function in phase space, ψ ( x , p , t ) {\displaystyle \psi (x,p,t)} , as a quasiamplitude, associated to a quasiprobability distribution. The first wave-function approach of quantum mechanics in phase space was introduced by Torres-Vega and Frederick in 1990 (also see). It is based on a generalised Husimi distribution. In 2004 Oliveira et al. developed a new wave-function formalism in phase space where the wave-function is associated to the Wigner quasiprobability distribution by means of the Moyal product. An advantage might be that off-diagonal Wigner functions used in superpositions are treated in an intuitive way, ψ 1 ⋆ ψ 2 {\displaystyle \psi _{1}\star \psi _{2}} , also gauge theories are treated in an operator form.

Tema degli esploratori: fisica e astronomia (deposito sistematico; categoria «Quantum mechanics»).
Fonte: Wikipedia in inglese, voce «Phase-space wavefunctions» — https://en.wikipedia.org/wiki/Phase-space_wavefunctions
Wikidata Q104845479 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q104845479
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Phase-space_wavefunctions?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1360717489, consultata il 2026-10-07T17:06:43.694Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 64ec0da677816a4fccf5ce23b23a399a9c23f17ba5aa6ae8b7f250436e34d359