# Classical and Quantum Mechanics of Anyons

@article{Date2003ClassicalAQ, title={Classical and Quantum Mechanics of Anyons}, author={Ghanashyam Date and M. V. N. Murthy and Radhika Vathsan}, journal={arXiv: Condensed Matter}, year={2003} }

We review aspects of classical and quantum mechanics of many anyons confined in an oscillator potential. The quantum mechanics of many anyons is complicated due to the occurrence of multivalued wavefunctions. Nevertheless there exists, for arbitrary number of anyons, a subset of exact solutions which may be interpreted as the breathing modes or equivalently collective modes of the full system. Choosing the three-anyon system as an example, we also discuss the anatomy of the so called “missing…

## 7 Citations

Exchange and exclusion in the non-abelian anyon gas

- Mathematics
- 2020

We review and develop the many-body spectral theory of ideal anyons, i.e. identical quantum particles in the plane whose exchange rules are governed by unitary representations of the braid group on…

On superconformal anyons

- Physics
- 2015

A bstractIn d = 2 + 1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting in a…

The Conformal Spectrum of Non-Abelian Anyons

- Physics
- 2016

We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic matter, and has an…

A General Criterion of Quantum Integrability Accommodating Central Charges and Anomalies

- Physics
- 2004

A simple quantum generalisation of the Liouville-Arnold criterion of classical integrability is proposed: A system is quantum-integrable if it has an abelian Lie group of Wigner symmetries of…

Fermionic behavior of ideal anyons

- PhysicsLetters in mathematical physics
- 2018

Upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas are proved and the lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons.

Many-anyon trial states

- Physics
- 2017

The problem of bounding the (Abelian) many-anyon ground-state energy from above, with a dependence on the statistics parameter which matches that of currently available lower bounds, is reduced to ...

Slobodna ekspanzija anyona

- Physics
- 2016

Anyoni su cestice cija se svojstva kontinuirano interpoliraju između bozona i fermiona, a cije je postojanje teorijski dozvoljeno u dvodimenzional

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