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Numerical sign problem — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Numerical_sign_problem
License (as archived): CC-BY-SA-4.0
Archived: 2026-10-07T16:34:53.475Z
SHA-256 of the archived text: eeda1c84bd25db252bc6a47bd1ca4df4a08301f8aad50d4dafe75ccf332ce9cb
Stable URL of this page: https://metraipolis.com/documento/dc_34cdfaaa9256

How to cite

Numerical sign problem — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Numerical_sign_problem (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_34cdfaaa9256 (Metraipolis archive dc_34cdfaaa9256, sha256 eeda1c84bd25db252bc6a47bd1ca4df4a08301f8aad50d4dafe75ccf332ce9cb)

BibTeX

@misc{dc34cdfaaa9256,
  title = {Numerical sign problem — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Numerical_sign_problem},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_34cdfaaa9256; sha256 eeda1c84bd25db252bc6a47bd1ca4df4a08301f8aad50d4dafe75ccf332ce9cb},
  year = {2026}
}

Archived text

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

In applied mathematics, the numerical sign problem is the problem of numerically evaluating the integral of a highly oscillatory function of a large number of variables. Numerical methods fail because of the near-cancellation of the positive and negative contributions to the integral. Each has to be integrated to very high precision in order for their difference to be obtained with useful accuracy. The sign problem is one of the major unsolved problems in the physics of many-particle systems. It often arises in calculations of the properties of a quantum mechanical system with large number of strongly interacting fermions, or in field theories involving a non-zero density of strongly interacting fermions.

Tema degli esploratori: fisica e astronomia (deposito sistematico; categoria «Statistical mechanics»).
Fonte: Wikipedia in inglese, voce «Numerical sign problem» — https://en.wikipedia.org/wiki/Numerical_sign_problem
Wikidata Q7069666 (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q7069666
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Numerical_sign_problem?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 1377684027, consultata il 2026-10-07T16:03:23.216Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 97cb9fa8e2f42dfe5178250fc0518586f0018ecc47cf89f13f0f575f05e893ff