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Calogero, Francesco C. and GómezUllate Otaiza, David (2007) Two novel classes of solvable manybody problems of goldfish type with constraints. Journal of physics A: Mathematical and theoretical, 40 (20). pp. 53355353. ISSN 17518113

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Official URL: http://dx.doi.org/10.1088/17518113/40/20/007
URL  URL Type 

http://iopscience.iop.org  Publisher 
http://arxiv.org/abs/nlin/0701046  Organisation 
Abstract
Two novel classes of manybody models with nonlinear interactions 'of goldfish type' are introduced. They are solvable provided the initial data satisfy a single constraint (in one case; in the other, two constraints), i.e., for such initial data the solution of their initialvalue problem can be achieved via algebraic operations, such as finding the eigenvalues of given matrices or equivalently the zeros of known polynomials. Entirely isochronous versions of some of these models are also exhibited, i.e., versions of these models whose nonsingular solutions are all completely periodic with the same period.
Item Type:  Article 

Additional Information:  © IOP Publishing Ltd. The results reported in this paper where obtained during a visit in October 2006 of one of us (DGU) to the Department of Physics of the University of Rome “La Sapienza”, performed in the context of the Collaboration Agreement among the University of Rome “La Sapienza” and the Universidad Complutense of Madrid. The research of DGU is supported in part by the Ramón y Cajal program of the Ministerio de Ciencia y Tecnología and by the DGI under grants FIS200500752 and MTM200600478. It is a pleasure to acknowledge illuminating discussions with Robert Milson. 
Uncontrolled Keywords:  Quasiexact solvability; Subspaces 
Subjects:  Sciences > Physics > PhysicsMathematical models Sciences > Physics > Mathematical physics 
ID Code:  30843 
Deposited On:  15 Jun 2015 09:27 
Last Modified:  10 Dec 2018 15:09 
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