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Lee–Yang theorem — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-15T19:08:35.847Z
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Lee–Yang theorem — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_6cb4e2fe6d33 (Metraipolis archive dc_6cb4e2fe6d33, sha256 6191cbcde789baf33683600fb06ffa72dc5698c84fabf0208b7d391b6adf10ee)

BibTeX

@misc{dc6cb4e2fe6d33,
  title = {Lee–Yang theorem — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_6cb4e2fe6d33; sha256 6191cbcde789baf33683600fb06ffa72dc5698c84fabf0208b7d391b6adf10ee},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

In statistical mechanics, the Lee–Yang theorem states that if partition functions of certain models in statistical field theory with ferromagnetic interactions are considered as functions of an external field, then all zeros are purely imaginary (or on the unit circle after a change of variable). The first version was proved for the Ising model by T. D. Lee and C. N. Yang (1952) (Lee & Yang 1952). Their result was later extended to more general models by several people. Asano in 1970 extended the Lee–Yang theorem to the Heisenberg model and provided a simpler proof using Asano contractions. Simon & Griffiths (1973) extended the Lee–Yang theorem to certain continuous probability distributions by approximating them by a superposition of Ising models. Newman (1974) gave a general theorem stating roughly that the Lee–Yang theorem holds for a ferromagnetic interaction provided it holds for zero interaction. Lieb & Sokal (1981) generalized Newman's result from measures on R to measures on higher-dimensional Euclidean space. There has been some speculation about a relationship between the Lee–Yang theorem and the Riemann hypothesis about the Riemann zeta function; see (Knauf 1999).

Tema degli esploratori: fisica e astronomia (deposito sistematico; ricerca «statistical mechanics»).
Fonte: Wikipedia in inglese, voce «Lee–Yang theorem» — https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem
Wikidata Q6516611: «Theorem in statistical mechanics» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q6516611
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Lee%E2%80%93Yang_theorem?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 1375124813, consultata il 2026-10-15T18:26:41.490Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 3fcb86364674aec0e941e680a0d256b17a0da58b397ec1707ec9d380ce8e7c6b