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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation

Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation

Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger equation (NLS) and the derivative NLS quantum field...

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Main Author: Kundu, A.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146507
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spelling irk-123456789-1465072019-02-10T01:24:46Z Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation Kundu, A. Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger equation (NLS) and the derivative NLS quantum field models involving anyonic operators, N-particle sectors of which yield the well known anyon gases, interacting through δ and derivative δ-function potentials. 2010 Article Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 16T25; 20F36; 81R12 DOI:10.3842/SIGMA.2010.080 http://dspace.nbuv.gov.ua/handle/123456789/146507 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Applying braided Yang-Baxter equation quantum integrable and Bethe ansatz solvable 1D anyonic lattice and field models are constructed. Along with known models we discover novel lattice anyonic and q-anyonic models as well as nonlinear Schrödinger equation (NLS) and the derivative NLS quantum field models involving anyonic operators, N-particle sectors of which yield the well known anyon gases, interacting through δ and derivative δ-function potentials.
format Article
author Kundu, A.
spellingShingle Kundu, A.
Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Kundu, A.
author_sort Kundu, A.
title Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
title_short Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
title_full Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
title_fullStr Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
title_full_unstemmed Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
title_sort quantum integrable 1d anyonic models: construction through braided yang-baxter equation
publisher Інститут математики НАН України
publishDate 2010
url http://dspace.nbuv.gov.ua/handle/123456789/146507
citation_txt Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation / A. Kundu // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT kundua quantumintegrable1danyonicmodelsconstructionthroughbraidedyangbaxterequation
first_indexed 2023-05-20T17:24:57Z
last_indexed 2023-05-20T17:24:57Z
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