Published May 2006
| Version v1
Journal article
Pair Correlation Statistics for the Zeros of Lame Polynomials
Description
The joint eigenfunctions of a quantum completely integrable system can naturally be described in terms of products of Lame polynomials. In this paper, we compute the limiting pair correlation distribution for the zeros of Lame polynomials in various thermodynamic, asymptotic regimes. We give results both in the mean and pointwise, for an asymptotically full set of values of the parameters α0,. . .,αN
Additional details
Identifiers
Publishing Information
- Journal Title
- Mathematical Physics, Analysis and Geometry
- Journal Volume
- 8
- Journal Issue
- 4
- Journal Page Range
- p. 287-298
- ISSN
- 1385-0172
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39078124
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ASYMPTOTIC SOLUTIONS; CORRELATIONS; EIGENFUNCTIONS; INTEGRAL CALCULUS; POLYNOMIALS; STATISTICS
- Descriptors DEC
- FUNCTIONS; MATHEMATICAL SOLUTIONS; MATHEMATICS
Optional Information
- Copyright
- Copyright (c) 2006 Springer