Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems

Lee, Yuan-Harng, Yang, Wen-Li and Zhang, Yao-Zhong (2010) Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems. Journal of Physics A: Mathematical and Theoretical, 43 37: 375211-01-375211-12. doi:10.1088/1751-8113/43/37/375211


Author Lee, Yuan-Harng
Yang, Wen-Li
Zhang, Yao-Zhong
Title Polynomial algebras and exact solutions of general quantum nonlinear optical models: II. Multi-mode boson systems
Journal name Journal of Physics A: Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8113
1751-8121
0305-4470
Publication date 2010-09-17
Sub-type Article (original research)
DOI 10.1088/1751-8113/43/37/375211
Volume 43
Issue 37
Start page 375211-01
End page 375211-12
Total pages 12
Editor Murray T. Batchelor
Place of publication Bristol, England
Publisher Insitute of Physics Publishing
Collection year 2011
Language eng
Formatted abstract
We present higher order polynomial algebras which are the dynamical symmetry algebras of a wide class of multi-mode boson systems in nonlinear optics and laser physics. We construct their unitary representations and the corresponding single-variable differential operator realizations. We then use the results to obtain exact (Bethe ansatz) solutions to the multi-mode boson systems, including the Bose-Einstein condensate models as the special cases.
Keyword Quasi-exact solvability
Bethe-ansatz
Superintegrable systems
Quadratic algebras
Supersymmetry
Realizations
Symmetries
Operators
Equations
SL(2)
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2011 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 11 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 5 times in Scopus Article | Citations
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Created: Sun, 19 Sep 2010, 10:05:37 EST