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Slater determinant — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Slater_determinant
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T21:54:37.111Z
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Slater determinant — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Slater_determinant (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_ea9c6fa686ba (Metraipolis archive dc_ea9c6fa686ba, sha256 80ed36b17ce076462671d95ebc85be33860e1e93755faa28a0b0e69ab4f9819b)

BibTeX

@misc{dcea9c6fa686ba,
  title = {Slater determinant — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Slater_determinant},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_ea9c6fa686ba; sha256 80ed36b17ce076462671d95ebc85be33860e1e93755faa28a0b0e69ab4f9819b},
  year = {2026}
}

Archived text

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

In quantum mechanics, a Slater determinant is an expression that describes the wave function of a multi-fermionic system. It satisfies anti-symmetry requirements, and consequently the Pauli principle, by changing sign upon exchange of two fermions. Only a small subset of all possible many-body fermionic wave functions can be written as a single Slater determinant, but those form an important and useful subset because of their simplicity. The Slater determinant arises from the consideration of a wave function for a collection of electrons, each with a wave function known as the spin-orbital χ ( x ) {\displaystyle \chi (\mathbf {x} )} , where x {\displaystyle \mathbf {x} } denotes the position and spin of a single electron. A Slater determinant containing two electrons with the same spin orbital would correspond to a wave function that is zero everywhere. The Slater determinant is named for John C. Slater, who introduced the determinant in 1929 as a means of ensuring the antisymmetry of a many-electron wave function, although the wave function in the determinant form first appeared independently in Heisenberg's and Dirac's articles three years earlier.

Tema degli esploratori: fisica e astronomia (deposito sistematico; categoria «Quantum mechanics»).
Fonte: Wikipedia in inglese, voce «Slater determinant» — https://en.wikipedia.org/wiki/Slater_determinant
Wikidata Q669056 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q669056
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Slater_determinant?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 1341320539, consultata il 2026-10-07T21:28:30.375Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 61517ff65e5bbdc3a16071b610fe0b4e2a441096b3c45affb397a28e549e9c06