On n-point correlations in the log-gas at rational temperature

Abstract

We obtain a Ha type formula for n-point correlations in the log-gas at rational temperature (or, equivalently, n-point one-time ground state correlations in the quantum Calogero-Sutherland model for rational coupling constant).

18 pages, AMS TeX, presentation improved

References in corpus (4)

• Shifted Schur Functions
• Fractional Statistics in One-Dimension: View From An Exactly Solvable Model
• Symmetric and non-symmetric quantum Capelli polynomials
• Binomial formula for Macdonald polynomials

Cited by in corpus (5)

• Deformed quantum Calogero-Moser problems and Lie superalgebras
• Orthogonality of super-Jack polynomials and a Hilbert space interpretation of deformed Calogero-Moser-Sutherland operators
• Z-measures on partitions and their scaling limits
• Averages of ratios of characteristic polynomials in circular beta-ensembles and super-Jack polynomials
• Generalised discriminants, deformed quantum Calogero-Moser system and Jack polynomials