An explicit realization of fractional statistics in one dimension

Journal Article · Fri May 15 00:00:00 EDT 2009 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2009.01.007· OSTI ID:21308054

Sree Ranjani, S. ^[1]; Panigrahi, P.K. ^[2]; Kapoor, A.K. ^[3]; Khare, A. ^[4]

---

1. School of Physics, University of Hyderabad, Gachibowli, Hyderabad, Andhra Pradesh 500 046 (India), E-mail: [e-mail]
2. Physical Research Laboratory, Ahmedabad 380 009 (India), E-mail: [e-mail]
3. School of Physics, University of Hyderabad, Gachibowli, Hyderabad, Andhra Pradesh 500 046 (India), E-mail: [e-mail]
4. Institute of Physics, Bhubaneswar 751005 (India), E-mail: [e-mail]

An explicit realization of anyons is provided, using the three-body Calogero model. The fact that in the coupling domain, -1/4<g<0, the angular spectrum can have a band structure, leads to the manifestation of the desired phase in the wave function, under the exchange of particles. Concurrently, the momentum corresponding to the angular variable is quantized, exactly akin to the relative angular momentum quantization in two dimensional anyonic system.

• OSTI ID: 21308054
• Journal Information: Annals of Physics (New York), Vol. 324, Issue 5; Other Information: DOI: 10.1016/j.aop.2009.01.007; PII: S0003-4916(09)00042-6; Copyright (c) 2009 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANYONS
QUANTIZATION
STATISTICS
THREE-BODY PROBLEM
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS