Local currents for a deformed Heisenberg-Poincaré Lie algebra of quantum mechanics, and anyon statistics

DOI10.1007/s10773-007-9431-1zbMath1140.81458OpenAlexW2151974916WikidataQ115383770 ScholiaQ115383770MaRDI QIDQ928251

Sarben Sarkar, Gerald A. Goldin

Publication date: 11 June 2008

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-007-9431-1

zbMATH Keywords

anyon statisticsdeformed Lie algebralocal current algebra

Mathematics Subject Classification ID

Nuclear physics (81V35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Operator algebra methods applied to problems in quantum theory (81R15)

Cites Work

• On the deformation of rings and algebras
• Geometry, stochastic calculus, and quantum fields in a noncommutative space–time
• Local currents for a deformed algebra of quantum mechanics with a fundamental length scale
• Particle statistics from induced representations of a local current group
• Diffeomorphism Groups, Anyon Fields, andqCommutators
• GENERALIZED QUANTUM RELATIVISTIC KINEMATICS: A STABILITY POINT OF VIEW
• Deformations, stable theories and fundamental constants
• On the Fock space for nonrelativistic anyon fields and braided tensor products
• Deformation and Contraction of Lie Algebras
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