Anyons, deformed oscillator algebras and projectors

DOI10.1016/J.NUCLPHYSB.2009.02.001zbMath1194.81119arXiv0809.3226OpenAlexW2086760617MaRDI QIDQ992444

Johan Engquist

Publication date: 13 September 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3226

zbMATH Keywords

defect linesCalogero problemdeformed Heisenberg algebrasmany-anyon problem

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (2)

Three-dimensional fractional-spin gravity ⋮ Slightly broken higher spin symmetry: general structure of correlators

Cites Work

• Unnamed Item
• Deformed Heisenberg algebra with reflection
• Algebra of one-particle operators for the Calogero model
• The Calogero model---anyonic representation, fermionic extension and supersymmetry
• ANYON TRAJECTORIES AND THE SYSTEMATICS OF THE THREE-ANYON SPECTRUM
• HIGHER SPIN ALGEBRAS AND QUANTIZATION ON THE SPHERE AND HYPERBOLOID
• Exchange operator formalism for integrable systems of particles
• EXACT SOLUTIONS OF A MANY-ANYON PROBLEM
• A Remarkable Representation of the 3 + 2 de Sitter Group
• On the relation between the anyon and Calogero models

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