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        Integrable Models From Twisted Half Loop Algebras

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        776585.pdf (PDF, 262Kb)
        Author
        Crampe, Nicolas
        Young, Charles A. S.
        Attention
        2299/10439
        Abstract
        This paper is devoted to the construction of new integrable quantum mechanical models based on certain subalgebras of the half loop algebra of gl(N). Various results about these subalgebras are proven by presenting them in the notation of the St Petersburg school. These results are then used to demonstrate the integrability, and find the symmetries, of two types of physical system: twisted Gaudin magnets, and Calogero-type models of particles on several half-lines meeting at a point
        Publication date
        2006-09-21
        Published in
        Journal of Physics A: Mathematical and Theoretical
        Published version
        https://doi.org/10.1088/1751-8113/40/21/003
        Other links
        http://hdl.handle.net/2299/10439
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