Exact dynamical correlation functions of Calogero-Sutherland model and one-dimensional fractional statistics

Journal Article · Mon Sep 19 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.1574· OSTI ID:7007031

Ha, Z N.C. ^[1]

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1. School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540 (United States)

One-dimensional model of nonrelativistic particles with inverse-square interaction potential known as the Calogero-Sutherland model is shown to possess fractional statistics. Using the theory of Jack polynomials the exact dynamical density-density correlation function and the hole propagator part of one-particle Green's function at any rational interaction coupling constant are obtained and used to show clear evidences of the fractional [ital exclusion] statistics in the sense of Haldane's generalized Pauli exclusion Principle.'' This model is also endowed with the corresponding [ital natural] [ital exchange] [ital statistics].

• DOE Contract Number: FG02-90ER40542
• OSTI ID: 7007031
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 73:12; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
665100 -- Nuclear Techniques in Condensed Matter Physics -- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANYONS
CORRELATION FUNCTIONS
COUPLING CONSTANTS
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL MODELS
MATHEMATICS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE MODELS
PAULI PRINCIPLE
PROPAGATOR
QUASI PARTICLES
STATISTICS