In physics, the Yang–Baxter equation (or star–triangle relation) is a which was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations, particles may preserve their momentum while changing their quantum internal states. It states that a matrix , acting on two out of three objects, satisfies It takes its name from independent work of C. N. Yang from 1968, and R. J. Baxter from 1971.
| Attributes | Values |
|---|
| rdf:type
| |
| rdfs:label
| - R-Matrix (de)
- 양-백스터 방정식 (ko)
- Уравнение Янга — Бакстера (ru)
- Yang–Baxter equation (en)
- 楊-巴克斯特方程 (zh)
|
| rdfs:comment
| - In der statistischen Physik werden Matrizen , welche der Yang-Baxter-Gleichung (nach C. N. Yang und Rodney Baxter): genügen, als R-Matrizen bezeichnet. In der Mathematik werden R-Matrizen zur Konstruktion von Quanteninvarianten in der Knotentheorie verwendet. (de)
- 물리학에서 양-백스터 방정식(영어: Yang–Baxter equation)은 양자 적분가능계의 산란 행렬이 만족시키는 특별한 방정식이다. (ko)
- Уравнение Янга — Бакстера (уравнение факторизации, уравнение треугольников) — уравнение, относящееся к классу точно решаемых задач. Имеет вид локальных преобразований эквивалентности, которые появляются в самых разнообразных случаях, таких как электрические цепи, теория узлов и теория кос, . Получило своё имя от независимых работ Ч. Н. Янга 1968 г. и Р. Д. Бакстера 1971 г. по статистической механике. (ru)
- 在物理学中，杨–巴克斯特方程说：一个矩阵满足 这个方程以杨振宁（1968年）和巴克斯特（1971年）的名字命名。 (zh)
- In physics, the Yang–Baxter equation (or star–triangle relation) is a which was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations, particles may preserve their momentum while changing their quantum internal states. It states that a matrix , acting on two out of three objects, satisfies It takes its name from independent work of C. N. Yang from 1968, and R. J. Baxter from 1971. (en)
|
| foaf:depiction
| |
| dcterms:subject
| |
| Wikipage page ID
| |
| Wikipage revision ID
| |
| Link from a Wikipage to another Wikipage
| |
| sameAs
| |
| dbp:wikiPageUsesTemplate
| |
| thumbnail
| |
| date
| |
| id
| |
| reason
| - If it is useful to the article, it deserves some explanation or resources for readers to learn from. (en)
|
| title
| - Yang-Baxter equation (en)
|
| has abstract
| - In der statistischen Physik werden Matrizen , welche der Yang-Baxter-Gleichung (nach C. N. Yang und Rodney Baxter): genügen, als R-Matrizen bezeichnet. In der Mathematik werden R-Matrizen zur Konstruktion von Quanteninvarianten in der Knotentheorie verwendet. (de)
- In physics, the Yang–Baxter equation (or star–triangle relation) is a which was first introduced in the field of statistical mechanics. It depends on the idea that in some scattering situations, particles may preserve their momentum while changing their quantum internal states. It states that a matrix , acting on two out of three objects, satisfies In one dimensional quantum systems, is the scattering matrix and if it satisfies the Yang–Baxter equation then the system is integrable. The Yang–Baxter equation also shows up when discussing knot theory and the braid groups where corresponds to swapping two strands. Since one can swap three strands two different ways, the Yang–Baxter equation enforces that both paths are the same. It takes its name from independent work of C. N. Yang from 1968, and R. J. Baxter from 1971. (en)
- 물리학에서 양-백스터 방정식(영어: Yang–Baxter equation)은 양자 적분가능계의 산란 행렬이 만족시키는 특별한 방정식이다. (ko)
- Уравнение Янга — Бакстера (уравнение факторизации, уравнение треугольников) — уравнение, относящееся к классу точно решаемых задач. Имеет вид локальных преобразований эквивалентности, которые появляются в самых разнообразных случаях, таких как электрические цепи, теория узлов и теория кос, . Получило своё имя от независимых работ Ч. Н. Янга 1968 г. и Р. Д. Бакстера 1971 г. по статистической механике. (ru)
- 在物理学中，杨–巴克斯特方程说：一个矩阵满足 这个方程以杨振宁（1968年）和巴克斯特（1971年）的名字命名。 (zh)
|
| prov:wasDerivedFrom
| |
| page length (characters) of wiki page
| |
| foaf:isPrimaryTopicOf
| |
| is Link from a Wikipage to another Wikipage
of | |
![[RDF Data]](/fct/images/sw-rdf-blue.png)
![[cxml]](/fct/images/cxml_doc.png)
![[csv]](/fct/images/csv_doc.png)
![[text]](/fct/images/ntriples_doc.png)
![[turtle]](/fct/images/n3turtle_doc.png)
![[ld+json]](/fct/images/jsonld_doc.png)
![[rdf+json]](/fct/images/json_doc.png)
![[rdf+xml]](/fct/images/xml_doc.png)
![[atom+xml]](/fct/images/atom_doc.png)
![[html]](/fct/images/html_doc.png)
