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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2010 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2010
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146507 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862672444843622400 |
|---|---|
| author | Kundu, A. |
| author_facet | Kundu, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T15:35:44Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146507 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:35:44Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation Kundu, A. |
| title | 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_short | Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation |
| title_sort | quantum integrable 1d anyonic models: construction through braided yang-baxter equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146507 |
| work_keys_str_mv | AT kundua quantumintegrable1danyonicmodelsconstructionthroughbraidedyangbaxterequation |