Particle statistics from induced representations of a local current group

DOI10.1063/1.524510zbMath0437.22016OpenAlexW2011469732MaRDI QIDQ3877892

Ralph Menikoff, David H. Sharp, Gerald A. Goldin

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524510

zbMATH Keywords

induced representationscurrent grouprapidly decreasing functionsparticle statisticsBose and Fermi N-particle representations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items (30)

The diffeomorphism group and flat principal bundles ⋮ QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS ⋮ Induced representations of nonlocally compact groups ⋮ Geometric and analytical aspects of anyons ⋮ A geometric approach to quantum vortices ⋮ Supersymmetric anyon model coupled to the electromagnetic field ⋮ Nonlinear sigma model in the Faddeev-Jackiw quantization formalism ⋮ Fock representations of Q-deformed commutation relations ⋮ Dynamical Abelian anyons with bound states and scattering states ⋮ On unusual statistics and quantum point vortices ⋮ Linear differential equations for a fractional spin field ⋮ Hydrodynamics of the probability current in Schrödinger theory ⋮ Fock representations of multicomponent (particularly non-Abelian anyon) commutation relations ⋮ Local currents for a deformed Heisenberg-Poincaré Lie algebra of quantum mechanics, and anyon statistics ⋮ Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices ⋮ Classical and quantum probability ⋮ Gauge-invariant quasi-free states on the algebra of the anyon commutation relations ⋮ Quantum kinematics of bosonic vortex loops ⋮ Representations of the diffeomorphism group describing an infinite Bose gas in the presence of ideal vortex filaments ⋮ QUANTIZATION OF KINEMATICS ON CONFIGURATION MANIFOLDS ⋮ FERMION AND BOSON RANDOM POINT PROCESSES AS PARTICLE DISTRIBUTIONS OF INFINITE FREE FERMI AND BOSE GASES OF FINITE DENSITY ⋮ REMARKS ON THE IMPRIMITIVITY THEOREM FOR NONLOCALLY COMPACT POLISH GROUPS ⋮ On the spectral problem for anyons ⋮ Supersymmetric anyons in the Faddeev-Jackiw quantization picture ⋮ Self-induced Aharonov-Bohm phase of anyonic matter ⋮ Quantum vortex configurations in three dimensions ⋮ Diffeomorphism Groups, Anyon Fields, andqCommutators ⋮ Particle spin from representations of the diffeomorphism group ⋮ Magnetic perturbations of anyonic and Aharonov–Bohm Schrödinger operators ⋮ Quantum-mechanical representations of the group of diffeomorphisms and local current algebra describing tightly bound composite particles

Cites Work

• Configuration spaces of positive and negative particles
• Induced representation of locally compact groups. I
• REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS
• ON UNITARY REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS OF A COMPACT MANIFOLD

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