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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| Дата: | 2010 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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| id |
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dspace |
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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 |
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2023-05-20T17:24:57Z |
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