Particles in Singular Magnetic Field ∗

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چکیده

An algebraic formalism for description of quantum states of charged particle with spin moving in two–dimensional space under influence of singular magnetic field is developed in terms of graded algebras. The fundamental assumption is that the particle is transformed into a composite system which consists quasiparticles, quasiholes and magnetic fluxes. Such system is endowed with generalized statistics determined by a grading group and a commutation factor on it. Composite systems corresponding to the quantum Hall effect and the electronic mag-netotransport anomaly are described. The Fock space representation are also given.

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تاریخ انتشار 1997