# Fractional statistics and quantum theory

@inproceedings{Khare2005FractionalSA, title={Fractional statistics and quantum theory}, author={Avinash Khare}, year={2005} }

Fractional statistics in two dimensions quantum mechanics of anyons statistical mechanics of anyon gas fractional exclusion statistics introduction to Chern-Simons term anyon as soliton in field theories Chern-Simons field theories mean field approach to anyons and beyond anyons and fractional quantum Hall effect omitted topics.

## 204 Citations

THE DYNAMICS AND STATISTICAL PHYSICS OF QUANTUM SYSTEMS WITH FRACTIONAL STATISTICS

- Physics
- 2019

We discuss the theory of particles with fractional statistics, termed anyons by Wilczek. We show that anyons can be viewed as charged point particles with an infinitesimally thin flux tube, and…

Non-Abelian Anyons: Statistical Repulsion and Topological Quantum Computation

- Physics
- 2017

As opposed to classical mechanics, quantum mechanical particles can be truly identical and lead to new and interesting phenomena. Identical particles can be of different types, determined by their ...

Quasiparticles in the Quantum Hall Effect

- Physics
- 2006

The fractional quantum Hall effect (FQHE), discovered in 1982 in a two-dimensional electron system, has generated a wealth of successful theory and new concepts in condensed matter physics, but is ...

Information Theory and Statistical Mechanics Revisited

- Physics, Computer ScienceArXiv
- 2016

We derive Bose-Einstein statistics and Fermi-Dirac statistics by Principle of Maximum Entropy applied to two families of entropy functions different from the Boltzmann-Gibbs-Shannon entropy. These…

Anyons in quantum mechanics with a minimal length

- Physics
- 2017

Abstract.The existence of anyons, i.e. quantum states with an arbitrary spin, is a generic feature of standard quantum mechanics in (2 + 1) -dimensional Minkowski spacetime. Here it is shown that…

Quantum entanglement in one-dimensional anyons

- PhysicsPhysical Review A
- 2020

Anyons in one spatial dimension can be defined by correctly identifying the configuration space of indistinguishable particles and imposing Robin boundary conditions. This allows an interpolation…

Fractional statistics and confinement

- Physics
- 2005

It is shown that a pointlike composite having charge and magnetic moment displays a confining potential for the static interaction while simultaneously obeying fractional statistics in a pure gauge…

Quantum Statistical Enhancement of the Collective Performance of Multiple Bosonic Engines.

- PhysicsPhysical review letters
- 2020

It is shown that quantum statistical effects can give rise to a genuine quantum enhancement of the collective thermodynamic performance when multiple indistinguishable bosonic work resources are coupled to an external system.

Fractional Zero-Point Angular Momenta in Noncommutative Quantum Mechanics

- Physics
- 2016

Abstract The charged particle confined by a harmonic potential in a noncommutative planar phase space interacting with a homogeneous dynamical magnetic field and Aharonov-Bohm potentials is studied.…

Fractal Operators in Non-Equilibrium Field Theory

- Physics
- 2010

Relativistic quantum field theory (QFT) describes fundamental interactions between elementary particles occurring in an energy range up to several hundreds GeV. Extending QFT beyond this range needs…