Unitary monodromy of Lamé differential operators

F. Beukers

doi:10.1134/S1560354707060068

Unitary monodromy of Lamé differential operators

F. Beukers

Sub Mathematical Modeling

Utrecht University

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

The classical second order Lamé equation contains a so-called accessory parameter B. In this paper we study for which values of B the Lamé equation has a monodromy group which is conjugate to a subgroup of SL(2,ℝ) (unitary monodromy with indefinite hermitian form). We reformulate the problem as a spectral problem and give an asymptotic expansion for the spectrum.

Original language	English
Pages (from-to)	630-641
Number of pages	12
Journal	Regular and Chaotic Dynamics
Volume	12
Issue number	6
DOIs	https://doi.org/10.1134/S1560354707060068
Publication status	Published - 1 Dec 2007

Keywords

Mathematics
Landbouwwetenschappen
Natuurwetenschappen
Wiskunde: algemeen

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10.1134/S1560354707060068

http://adsabs.harvard.edu/abs/2007RCD....12..630B

Cite this

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abstract = "The classical second order Lam{\'e} equation contains a so-called accessory parameter B. In this paper we study for which values of B the Lam{\'e} equation has a monodromy group which is conjugate to a subgroup of SL(2,ℝ) (unitary monodromy with indefinite hermitian form). We reformulate the problem as a spectral problem and give an asymptotic expansion for the spectrum.",

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AB - The classical second order Lamé equation contains a so-called accessory parameter B. In this paper we study for which values of B the Lamé equation has a monodromy group which is conjugate to a subgroup of SL(2,ℝ) (unitary monodromy with indefinite hermitian form). We reformulate the problem as a spectral problem and give an asymptotic expansion for the spectrum.

KW - Mathematics

KW - Landbouwwetenschappen

KW - Natuurwetenschappen

KW - Wiskunde: algemeen

U2 - 10.1134/S1560354707060068

DO - 10.1134/S1560354707060068

M3 - Article

SN - 1560-3547

VL - 12

SP - 630

EP - 641

JO - Regular and Chaotic Dynamics

JF - Regular and Chaotic Dynamics

IS - 6

ER -

Unitary monodromy of Lamé differential operators

Abstract

Keywords

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