ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Ground state of many anyons in a harmonic potential

Chitra, R and Sen, Diptiman (1992) Ground state of many anyons in a harmonic potential. In: Physical Review B, 46 (17). pp. 10923-10930.

[img] PDF
Ground_-256.pdf
Restricted to Registered users only

Download (1337Kb) | Request a copy

Abstract

The ground-state energy and wave function of many anyons in a harmonic oscillator potential is studied using perturbation theory from the fermionic and bosonic ends. As the number of anyons increases to infinity, the ground-state energy scales with the power 3/2. As the statistics parameter changes, there are repeated level crossings between states having different angular momenta. Hence the ground state is only piecewise continuous, and the number of pieces increases with the number of anyons. This is to be contrasted with the problem of interpolating statistics in one dimension where there are no level crossings in the ground state for any number of particles.

Item Type: Journal Article
Additional Information: The copyright of this article belongs to American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 06 Nov 2006
Last Modified: 19 Sep 2010 04:32
URI: http://eprints.iisc.ernet.in/id/eprint/8799

Actions (login required)

View Item View Item