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Source Identity and Kernel Functions for Elliptic Calogero-Sutherland Type Systems
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2010 (English)In: Letters in Mathematical Physics, ISSN 0377-9017, E-ISSN 1573-0530, Vol. 94, no 1, 63-75 p.Article in journal (Refereed) Published
Abstract [en]

Kernel functions related to quantum many-body systems of Calogero-Sutherland type are discussed, in particular for the elliptic case. The main result is an elliptic generalization of an identity due to Sen that is a source for many such kernel functions. Applications are given, including simple exact eigenfunctions and corresponding eigenvalues of Chalykh-Feigin-Veselov-Sergeev-type deformations of the elliptic Calogero-Sutherland model for special parameter values.

Place, publisher, year, edition, pages
2010. Vol. 94, no 1, 63-75 p.
Keyword [en]
Calogero-Sutherland type systems, kernel identities, elliptic functions
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-26677DOI: 10.1007/s11005-010-0416-2ISI: 000281981100004Scopus ID: 2-s2.0-77956870999OAI: oai:DiVA.org:kth-26677DiVA: diva2:373329
Note
QC 20101130Available from: 2010-11-30 Created: 2010-11-26 Last updated: 2017-12-12Bibliographically approved

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