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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2010 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146507 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-146507 |
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Kundu, A. 2019-02-09T19:36:14Z 2019-02-09T19:36:14Z 2010 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 https://nasplib.isofts.kiev.ua/handle/123456789/146507 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. This paper is a contribution to the Proceedings of the International Workshop “Recent Advances in Quantum Integrable Systems”. The full collection is available at http://www.emis.de/journals/SIGMA/RAQIS2010.html. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation |
| spellingShingle |
Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation Kundu, A. |
| 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 |
| author |
Kundu, A. |
| author_facet |
Kundu, A. |
| publishDate |
2010 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.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. |
| work_keys_str_mv |
AT kundua quantumintegrable1danyonicmodelsconstructionthroughbraidedyangbaxterequation |
| first_indexed |
2025-12-07T15:35:44Z |
| last_indexed |
2025-12-07T15:35:44Z |
| _version_ |
1850864298104979457 |