dorsal/arxiv
View SchemaParticles in Singular Magnetic Field
| Authors | Wladyslaw Marcinek |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9706031 |
| URL | https://arxiv.org/abs/q-alg/9706031 |
| DOI | 10.1063/1.532557 |
Abstract
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 magnetotransport anomaly are described. The Fock space representation are also given.
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"abstract": "An algebraic formalism for description of quantum states of charged particle\nwith spin moving in two-dimensional space under influence of singular magnetic\nfield is developed in terms of graded algebras. The fundamental assumption is\nthat the particle is transformed into a composite system which consists\nquasiparticles, quasiholes and magnetic fluxes. Such system is endowed with\ngeneralized statistics determined by a grading group and a commutation factor\non it. Composite systems corresponding to the quantum Hall effect and the\nelectronic magnetotransport anomaly are described. The Fock space\nrepresentation are also given.",
"arxiv_id": "q-alg/9706031",
"authors": [
"Wladyslaw Marcinek"
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"doi": "10.1063/1.532557",
"title": "Particles in Singular Magnetic Field",
"url": "https://arxiv.org/abs/q-alg/9706031"
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