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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6
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- Symmetry, Integrability and Geometry: Methods and Applications, 2010, том 6, випуск за цей рік
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Quantum Integrable 1D anyonic Models: Construction through Braided Yang-Baxter Equation
Інший ID:
2010 Mathematics Subject Classification: 16T25; 20F36; 81R12
DOI:10.3842/SIGMA.2010.080
DOI:10.3842/SIGMA.2010.080
Посилання:
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.
Підтримка:
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.
Дата:
2010
Переглядів:
403
Завантажень:
226
Анотація:
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.
