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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 040, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.040 (Mi sigma166) 		 
This article is cited in 7 scientific papers (total in 7 papers)

$q$-Boson in Quantum Integrable Systems

Anjan Kundu

Saha Institute of Nuclear Physics, Theory Group \& Centre for Applied Mathematics \& Computational Science, 1/AF Bidhan Nagar, Calcutta 700 064, India
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DOI: https://doi.org/10.3842/SIGMA.2007.040
Abstract: $q$-bosonic realization of the underlying Yang–Baxter algebra is identified for a series of quantum integrable systems, including some new models like two-mode $q$-bosonic model leading to a coupled two-component derivative NLS model, wide range of $q$-deformed matter-radiation models, $q$-anyon model etc. Result on a new exactly solvable interacting anyon gas, linked to $q$-anyons on the lattice is reported.
Keywords: quantum integrable systems; Yang–Baxter algebra; quantum group, $q$-bosonic integrable models; $q$-deformed matter-radiation models; $q$-anyon; derivative-$\delta$-function anyon gas.
Received: November 14, 2006; in final form January 15, 2007; Published online March 5, 2007
Bibliographic databases:
Document Type: Article
MSC: 81R50; 81R12; 81T27; 81V80
Language: English
Citation: Anjan Kundu, “$q$-Boson in Quantum Integrable Systems”, SIGMA, 3 (2007), 040, 14 pp.
Citation in format AMSBIB
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\by Anjan Kundu
\paper $q$-Boson in Quantum Integrable Systems
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    • This publication is cited in the following 7 articles:
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    		Symmetry, Integrability and Geometry: Methods and Applications
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