Pair correlation statistics for the zeros of Lamé polynomials

DOI10.1007/s11040-004-5051-7zbMath1101.81065OpenAlexW2063324582MaRDI QIDQ2432471

Alain Bourget

Publication date: 25 October 2006

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-004-5051-7

zbMATH Keywords

pair correlationquantum integrable systemLamé polynomials

Mathematics Subject Classification ID

Groups and algebras in quantum theory and relations with integrable systems (81R12) Differential invariants (local theory), geometric objects (53A55)

Related Items (1)

Central limit theorems for the zeros of Lamé polynomials

Cites Work

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• The pair correlation function of fractional parts of polynomials
• Variations on a theme of Heine and Stieltjes: An electrostatic interpretation of the zeros of certain polynomials
• Nodal statistics for the Van Vleck polynomials
• An electrostatics model for zeros of general orthogonal polynomials
• Asymptotic properties of Heine--Stieltjes and Van Vleck polynomials.
• Expansions in products of Heine-Stieltjes polynomials
• Asymptotic statistics of zeroes for the Lamé ensemble.

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