ANYONS AS SPINNING PARTICLES

Fractional Statistics and Anyon Superconductivity

Wilczek, F. (1990) · Series on Directions in Condensed Matter Physics · doi:10.1142/0961 · Cited by 1,070 · see citing works

Fractional Statistics and Anyon Superconductivity

Wilczek, F. A., & Rokhsar, D. S. (1992) · Physics Today · doi:10.1063/1.2809542 · Cited by 718 · see citing works

Gauge Symmetries and Fibre Bundles

Balachandran, A. P., Marmo, G., Skagerstam, B.-S., & Stern, A. (1983) · Springer eBooks · doi:10.1007/3-540-12724-0 · Cited by 112 · see citing works

Representations of Lie groups

Feinsilver, P., & Schott, R. (1996) · Springer eBooks · doi:10.1007/978-94-009-0157-5_3 · Cited by 64 · see citing works

Factorization: little or great algorithm?

Mielnik, B., & Rosas-Ortiz, Ó. (2004) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/37/43/001 · Cited by 196 · see citing works

Spin Hall effect and Berry phase of spinning particles

Bérard, A., & Mohrbach, H. (2006) · Physics Letters A · doi:10.1016/j.physleta.2005.11.071 · Cited by 144 · see citing works

Anyon spin and the exotic central extension of the planar Galilei group

Jackiw, R., & Nair, V. P. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00379-8 · Cited by 88 · see citing works

Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane

Horváthy, P. A., & Plyushchay, M. S. (2002) · Journal of High Energy Physics · doi:10.1088/1126-6708/2002/06/033 · Cited by 78 · see citing works

Nonrelativistic anyons in external electromagnetic field

Horváthy, P. A., & Plyushchay, M. S. (2005) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2005.02.027 · Cited by 57 · see citing works

Anyon spin and the exotic central extension of the planar Galilei groupPreprint

Jackiw, R., & Nair, V. P. (2000) · Cited by 58 · see citing works

Fractional helicity, Lorentz symmetry breaking, compactification and anyons

Клишевич, С. М., Plyushchay, M. S., & de Traubenberg, M. R. (2001) · Nuclear Physics B · doi:10.1016/s0550-3213(01)00442-4 · Cited by 42 · see citing works

Monopole Chern–Simons term: charge–monopole system as a particle with spin

Plyushchay, M. S. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00530-7 · Cited by 43 · see citing works

Fractional supersymmetry and Fth-roots of representations

de Traubenberg, M. R., & Slupinski, M. J. (2000) · Journal of Mathematical Physics · doi:10.1063/1.533362 · Cited by 42 · see citing works

Fields on the Poincaré Group: Arbitrary Spin Description and Relativistic Wave Equations

Gitman, D. M., & Shelepin, A. L. (2001) · International Journal of Theoretical Physics · doi:10.1023/a:1004118431439 · Cited by 41 · see citing works

Exotic Galilean Symmetry and Non-Commutative Mechanics

Horváthy, P. A. (2010) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2010.060 · Cited by 38 · see citing works

The unitary representations of the Poincar\'e group in any spacetime dimension

Boulanger, N. (2021) · DOAJ (DOAJ: Directory of Open Access Journals) · doi:10.21468/scipostphyslectnotes.30 · Cited by 36 · see citing works

Relativistic Particle and Relativistic Fluids: Magnetic Moment and Spin-Orbit Interactions

Dimitra Karabali, A., & Nair, V. P. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.90.105018 · Cited by 35 · see citing works

Anyons with anomalous gyromagnetic ratio and the Hall effect

Duval, C., & Horváthy, P. A. (2004) · Physics Letters B · doi:10.1016/j.physletb.2004.05.049 · Cited by 35 · see citing works

Monopole Chern-Simons Term: Charge-Monopole System as a Particle with SpinPreprint

Plyushchay, M. S. (2000) · Cited by 42 · see citing works

Modular localization of massive particles with “any” spin in d=2+1

Mund, J. (2003) · Journal of Mathematical Physics · doi:10.1063/1.1561592 · Cited by 29 · see citing works

On the Minimal Model of Anyons

Gorbunov, I., Kuzenko, S. M., & Lyakhovich, S. L. (1997) · International Journal of Modern Physics A · doi:10.1142/s0217751x97002292 · Cited by 28 · see citing works

Cubic root of Klein-Gordon equation

Plyushchay, M. S., & de Traubenberg, M. R. (2000) · Physics Letters B · doi:10.1016/s0370-2693(00)00190-8 · Cited by 27 · see citing works

Two-twistor particle models and free massive higher spin fields

de Azcárraga, J. A., Fedoruk, S., Izquierdo, J. M., & Jerzy Lukierski, B. (2015) · Journal of High Energy Physics · doi:10.1007/jhep04(2015)010 · Cited by 25 · see citing works

Electric Chern–Simons term, enlarged exotic Galilei symmetry and noncommutative plane

del Olmo, M. A., & Plyushchay, M. S. (2006) · Annals of Physics · doi:10.1016/j.aop.2006.03.001 · Cited by 23 · see citing works

Anyons, group theory and planar physics

Negro, J., del Olmo, M. A., & Tosiek, J. (2006) · Journal of Mathematical Physics · doi:10.1063/1.2168399 · Cited by 20 · see citing works

Non-commutative oscillator with Kepler-type dynamical symmetry

Zhang, P., Horváthy, P. A., & Ngome, J.-P. (2010) · Physics Letters A · doi:10.1016/j.physleta.2010.08.054 · Cited by 19 · see citing works

Chern-Simons gravity with (curvature)2 and (torsion)2 terms and a basis of degree-of-freedom projection operators

Helayël-Neto, J. A., Hernaski, C. A., Pereira-Dias, B., Vargas-Paredes, A. A., & Otoya, V. J. V. (2010) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.82.064014 · Cited by 18 · see citing works

Anyons, group theory and planar physicsPreprint

Negro, J., del Olmo, M. A., & Tosiek, J. (2013) · Cited by 17 · see citing works

Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane

Horváthy, P. A., Plyushchay, M. S., & Valenzuela, M. (2007) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2007.01.021 · Cited by 15 · see citing works

N=1,D=3 superanyons, osp(2|2) , and the deformed Heisenberg algebra

Gorbunov, I., Kuzenko, S. M., & Lyakhovich, S. L. (1997) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.56.3744 · Cited by 13 · see citing works

Zitterbewegung and reduction: 4D spinning particles and 3D anyons on light-like curves

Klishevich, S., & Plyushchay, M. (1999) · Physics Letters B · doi:10.1016/s0370-2693(99)00637-1 · Cited by 12 · see citing works

<i>Zitterbewegung</i> of massless particles

Silenko, A. J. (2022) · Physical Review A · doi:10.1103/physreva.105.062211 · Cited by 11 · see citing works

Free conical dynamics: charge-monopole as a particle with spin, anyon and nonlinear fermion-monopole supersymmetry

Plyushchay, M. S. (2001) · Nuclear Physics B - Proceedings Supplements · doi:10.1016/s0920-5632(01)01563-8 · Cited by 9 · see citing works

The Quantum 3D Superparticle

Mezincescu, L. (2011) · Symmetry Integrability and Geometry Methods and Applications · doi:10.3842/sigma.2011.005 · Cited by 8 · see citing works

ON THE CONSISTENCY PROBLEM OF INTERACTIONS OF (2+1) MASSIVE SPINNING PARTICLE

Alkalaev, K., & Lyakhovich, S. L. (1999) · Modern Physics Letters A · doi:10.1142/s021773239900287x · Cited by 8 · see citing works

Higher-derivative N=4 superparticle in three-dimensional spacetime

Kozyrev, N., Krivonos, S., Lechtenfeld, O., & Nersessian, A. (2014) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.89.045013 · Cited by 6 · see citing works

A simple action for a free fractional spin particle

Dalmazi, D., & DUTRA, A. D. S. (1997) · Physics Letters B · doi:10.1016/s0370-2693(97)01202-1 · Cited by 6 · see citing works

On the Geometry of Relativistic AnyonPreprint

Nersessian, A. (1997) · Cited by 6 · see citing works

On the Geometry of Relativistic Anyon

Nersessian, A. (1997) · Modern Physics Letters A · doi:10.1142/s0217732397001813 · Cited by 5 · see citing works

Pair Production and Solutions of Wave Equation for Arbitrary-Spin Particles

Kruglov, S. I. (2001) · International Journal of Theoretical Physics · doi:10.1023/a:1004163711121 · Cited by 5 · see citing works

Fields on the Poincare group: arbitrary spin description and relativistic wave equationsPreprint

Gitman, D. M., & Shelepin, A. L. (2000) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/0003146 · Cited by 5 · see citing works

Dynamics with exotic symmetries

Martina, L. (2012) · Journal of Physics Conference Series · doi:10.1088/1742-6596/343/1/012072 · Cited by 4 · see citing works

Screening in anyon gas

Ghosh, S. (1997) · Journal of Physics A Mathematical and General · doi:10.1088/0305-4470/30/24/002 · Cited by 4 · see citing works

Hidden supersymmetry and Berezin quantization of N=2, D=3 spinning superparticles

Gorbunov, I., & Lyakhovich, S. L. (1999) · Journal of Mathematical Physics · doi:10.1063/1.532861 · Cited by 3 · see citing works

Rotational symmetry of classical orbits, arbitrary quantization of angular momentum and the role of the gauge field in two-dimensional space

Xin, J.-L., & Liang, J.-Q. (2012) · Chinese Physics B · doi:10.1088/1674-1056/21/4/040303 · Cited by 3 · see citing works

Equation for a Composite Scalar Particle in (2+1)-D and its Solutions

Kruglov, S. I. (1997) · Modern Physics Letters A · doi:10.1142/s0217732397001734 · Cited by 3 · see citing works

Emergent spacetime from a Berry-inspired dynamical gauge field coupled to electromagnetism

Copinger, P., & Morales, P. A. (2023) · Physical review. D/Physical review. D. · doi:10.1103/physrevd.108.065013 · Cited by 1 · see citing works

Decompositions of Hyperbolic Kac–Moody Algebras with Respect to Imaginary Root Groups

Feingold, A. J., Kleinschmidt, A., & Nicolai, H. (2024) · Communications in Mathematical Physics · doi:10.1007/s00220-024-05107-2 · Cited by 1 · see citing works

Pair productions of composite scalar particles in (2 + 1)D

Kruglov, S. I. (1998) · Europhysics Letters (EPL) · doi:10.1209/epl/i1998-00157-x · Cited by 1 · see citing works

Screening in Anyon GasPreprint

Ghosh, S. (1997) · Cited by 1 · see citing works

Dynamics of a noncommutative monopole

Martina, L. (2012) · Theoretical and Mathematical Physics · doi:10.1007/s11232-012-0101-y

Динамика некоммутативного монополя

Martina, L. (2012) · Теоретическая и математическая физика · doi:10.4213/tmf6958

Некоммутативные координаты, экзотические частицы и аномальные анионы в эффекте Холла

Дюваль, К., Duval, C., Дюваль, К., Duval, C., Хорвати, П. А., & Horváthy, P. A. (2005) · Теоретическая и математическая физика · doi:10.4213/tmf1828

Report on scipost_202012_00021v1

(2021) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2554

Report on scipost_202012_00021v1

(2021) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2490

Report on scipost_202012_00021v1

(2021) · SciPost Physics Lecture Notes · doi:10.21468/scipost.report.2650

Uncertainty relations for the relativistic Jackiw-Nair anyon: A first-principles derivation

Majhi, J., & Ghosh, S. (2023) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ad0670

Generalization of exact operators of the Foldy-Wouthuysen transformation to arbitrary-spin particles in nonstationary fields

Silenko, A. J. (2025) · Physical Review A · doi:10.1103/physreva.111.l050203

(Super) symétries des modèles semi-classiques en physique théorique et de la matière condensée

Abiaga, J. J.-P. N. (2011) · doi:10.70675/72be9554z9019z4810z8035z6748ed111848

DFTUZ/95/06 hep-th/9505117 ANYONS AS SPINNING PARTICLESPreprint

Cortés, J. L., & Plyushchay, M. S. (1995)

Anyons as spin particles: from classical mechanics to field theoryPreprint

Plyushchay, M. S. (1995) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9511137 · Cited by 1 · see citing works

A new class of particle in 2 + 1 dimensions

Schuster, P., & Toro, N. (2015) · Physics Letters B · doi:10.1016/j.physletb.2015.02.050 · Cited by 24 · see citing works

Spinning particles in 2 + 1 dimensions

(1995) · Physics Letters B · doi:10.1016/0370-2693(95)00062-p · Cited by 10 · see citing works

Anyons: Field Theory and Applications

Williams, B. P. (2010)