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A Unified Construction of Generalized Classical Polynomials Associated with Operators of Calogero-Sutherland Type
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
2010 (engelsk)Inngår i: Constructive approximation, ISSN 0176-4276, E-ISSN 1432-0940, Vol. 31, nr 3, s. 309-342Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

In this paper we consider a large class of many-variable polynomials which contains generalizations 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.

sted, utgiver, år, opplag, sider
2010. Vol. 31, nr 3, s. 309-342
Emneord [en]
Calogero-Sutherland operators, Many-variable polynomials, Series representations, Exactly solvable quantum many-body systems
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Identifikatorer
URN: urn:nbn:se:kth:diva-19385DOI: 10.1007/s00365-009-9060-4ISI: 000276482400002Scopus ID: 2-s2.0-77955086031OAI: oai:DiVA.org:kth-19385DiVA, id: diva2:337432
Forskningsfinansiär
Swedish Research Council
Merknad

QC 20150728

Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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