Onsager algebra and algebraic generalization of Jordan-Wigner transformation

Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the interactions ηi that appear in the Hamiltonian H as H=∑i=1NJiηi, where Ji are coupling constants. In this short note, it is...

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Autor principal:	Kazuhiko Minami
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/eb94af617a8b4d619b3758419e18f1af
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spelling	oai:doaj.org-article:eb94af617a8b4d619b3758419e18f1af2021-12-04T04:32:56ZOnsager algebra and algebraic generalization of Jordan-Wigner transformation0550-321310.1016/j.nuclphysb.2021.115599https://doaj.org/article/eb94af617a8b4d619b3758419e18f1af2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002960https://doaj.org/toc/0550-3213Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the interactions ηi that appear in the Hamiltonian H as H=∑i=1NJiηi, where Ji are coupling constants. In this short note, it is derived that operators that are composed of ηi, or its n-state clock generalizations, satisfy the Dolan-Grady condition and hence obey the Onsager algebra which was introduced in the original solution of the rectangular Ising model and appears in some integrable models.Kazuhiko MinamiElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115599- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Kazuhiko Minami Onsager algebra and algebraic generalization of Jordan-Wigner transformation
description	Recently, an algebraic generalization of the Jordan-Wigner transformation was introduced and applied to one- and two-dimensional systems. This transformation is composed of the interactions ηi that appear in the Hamiltonian H as H=∑i=1NJiηi, where Ji are coupling constants. In this short note, it is derived that operators that are composed of ηi, or its n-state clock generalizations, satisfy the Dolan-Grady condition and hence obey the Onsager algebra which was introduced in the original solution of the rectangular Ising model and appears in some integrable models.
format	article
author	Kazuhiko Minami
author_facet	Kazuhiko Minami
author_sort	Kazuhiko Minami
title	Onsager algebra and algebraic generalization of Jordan-Wigner transformation
title_short	Onsager algebra and algebraic generalization of Jordan-Wigner transformation
title_full	Onsager algebra and algebraic generalization of Jordan-Wigner transformation
title_fullStr	Onsager algebra and algebraic generalization of Jordan-Wigner transformation
title_full_unstemmed	Onsager algebra and algebraic generalization of Jordan-Wigner transformation
title_sort	onsager algebra and algebraic generalization of jordan-wigner transformation
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/eb94af617a8b4d619b3758419e18f1af
work_keys_str_mv	AT kazuhikominami onsageralgebraandalgebraicgeneralizationofjordanwignertransformation
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Onsager algebra and algebraic generalization of Jordan-Wigner transformation

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