Bosons, fermions and anyons in the plane, and supersymmetry

DOI10.1016/j.aop.2010.02.007zbMath1198.81220arXiv1001.0274OpenAlexW3100687576MaRDI QIDQ710455

Mauricio Valenzuela, Mikhail S. Plyushchay, Peter A. Horvathy

Publication date: 19 October 2010

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0274

zbMATH Keywords

Wigner elementary particle

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (17)

Three-dimensional fractional-spin gravity ⋮ Higher-spin symmetries and deformed Schrödinger algebra in conformal mechanics ⋮ Examples of enhanced quantization: Bosons, fermions and anyons ⋮ Duffin-Kemmer-Petiau and Dirac equations -- a supersymmetric connection ⋮ Ideal Bose gas and blackbody radiation in the Dunkl formalism ⋮ On the gauge invariance of Wigner-Dunkl quantum mechanics in the presence of a constant magnetic field ⋮ On the path integral formulation of Wigner–Dunkl quantum mechanics ⋮ Supersymmetric content of the Dirac and Duffin-Kemmer-Petiau equations ⋮ Maxwell-Chern-Simons topologically massive gauge fields in the first-order formalism ⋮ Massless Rarita–Schwinger field from a divergenceless antisymmetric tensor-spinor of pure spin-3/2 ⋮ Non-Hermitian inverted harmonic oscillator-type Hamiltonians generated from supersymmetry with reflections ⋮ On the mechanism of fermion-boson transformation ⋮ Thermodynamics of Wignons ⋮ Non-Hermitian oscillator and $\cal {R}$R-deformed Heisenberg algebra ⋮ 3D Higher spin gravity and the fractional quantum Hall effect ⋮ Supersymmetry of the planar Dirac–Deser–Jackiw–Templeton system and of its nonrelativistic limit ⋮ Aspects of coherent states of nonlinear algebras

Cites Work

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• Galilean symmetry in noncommutative field theory
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• Nonrelativistic particles and wave equations
• Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure
• On Schrödinger superalgebras
• Higher spin gauge theories in various dimensions
• Supersymmetry of the planar Dirac–Deser–Jackiw–Templeton system and of its nonrelativistic limit
• Group Theoretical Discussion of Relativistic Wave Equations
• A Note on the Quantum Rule of the Harmonic Oscillator
• Anyon spin and the exotic central extension of the planar Galilei group
• Fractional helicity, Lorentz symmetry breaking, compactification and anyons

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