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Source identities and kernel functions for deformed (quantum) Ruijsenaars models
journal contribution
posted on 2014-08-13, 09:03 authored by Farrokh Atai, Martin Hallnas, Edwin LangmannWe consider the relativistic generalization of the quantum A Calogero-Sutherland models due to Ruijsenaars, comprising the rational, hyperbolic, trigonometric and elliptic cases. For each of these cases, we find an exact common eigenfunction for a generalization of Ruijsenaars analytic difference operators that gives, as special cases, many different kernel functions; in particular, we find kernel functions for Chalykh-Feigin-Veselov-Sergeev-type deformations of such difference operators which generalize known kernel functions for the Ruijsenaars models. We also discuss possible applications of our results.
History
School
- Science
Department
- Mathematical Sciences
Published in
Letters in Mathematical PhysicsVolume
104Issue
7Pages
811 - 835Citation
ATAI, F., HALLNÄS, M. and LANGMANN, E., 2014. Source identities and kernel functions for deformed (quantum) Ruijsenaars models. Letters in Mathematical Physics, 104 (7), pp. 811-835.Publisher
© SpringerVersion
- AM (Accepted Manuscript)
Publication date
2014Notes
The final publication is available at Springer via: http://dx.doi.org/10.1007/s11005-014-0690-5.ISSN
0377-9017eISSN
1573-0530Publisher version
Language
- en