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Quantum Calogero-Sutherland type models and generalised classical polynomials
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2007 (English)Manuscript (preprint) (Other academic)
Abstract [en]

In this paper we consider a large class of many-variable polynomials which contains generalisations of the classical Hermite, Laguerre, Jacobi and Bessel polynomials as special cases, and which occur as the polynomial part in the eigenfunctions of Calogero-Sutherland type operators and their deformations recently found and studied by Chalykh, Feigin, Sergeev, and Veselov. We present a unified and explicit construction of all these polynomials.

Place, publisher, year, edition, pages
2007.
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Other Physics Topics
Identifiers
URN: urn:nbn:se:kth:diva-7255OAI: oai:DiVA.org:kth-7255DiVA: diva2:12211
Note

QC 20111021

Available from: 2007-05-31 Created: 2007-05-31 Last updated: 2017-04-13Bibliographically approved

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http://arxiv.org/abs/math-ph/0703090

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CiteExportLink to record
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