منابع مشابه
Super Chern-Simons Quantum Mechanics
The Super Chern-Simons mechanics, and quantum mechanics of a particle, on the coset super-manifolds SU(2|1)/U(2) and SU(2|1)/[U(1)× U(1)], is considered. Within a convenient quantization procedure the well known Chern-Simons mechanics on SU(2)/U(1) is reviewed, and then it is shown how the fuzzy supergeometries arise. A brief discussion of the supersphere is also included. ⋆ To appear in Procee...
متن کاملClassical and Quantum Mechanics of Non-Abelian Chern-Simons Particles
We investigate the classical and quantum properties of a system of SU(N) non-Abelian Chern-Simons (NACS) particles. After a brief introduction to the subject of NACS particles, we first discuss about the symplectic structure of various SU(N) coadjoint orbits which are the reduced phase space of SU(N) internal degrees of freedom or isospins. A complete Dirac’s constraint analysis is carried out ...
متن کاملThe path integral for Chern-Simons quantum mechanics
The path integral representation for a system of N non-relativistic particles on the plane, interacting through a Chern-Simons gauge field, is obtained from the operator formalism. An effective interaction between the particles appears, generating the usual Aharonov-Bohm phases. The spin-statistics relation is also considered. PACS numbers: 03.65.Bz, 31.15Kb, 74.20Kk Typeset using REVTEX e-mail...
متن کاملInfinite Dimensional Algebras in Chern-simons Quantum Mechanics
We study a charged particle in an electromagnetic field without kinetic or potential term. Although dynamically trivial, this system is interesting because it has an infinite dimensional symmetry group. We discuss the way in which this group behaves under quantization. Ref. SISSA XX/91/EP (February 1991)
متن کاملChern-Simons Theory for Quantum Hall Stripes
– We develop a Chern-Simons theory to describe a two-dimensional electron gas in intermediate magnetic fields. Within this approach, inhomogeneous states emerge in analogy to the intermediate state of a superconductor. At half filling of the highest Landau level we find unidirectional charge-density-wave (CDW) solutions. With a semiclassical calculation we give an intuitive explanation of the c...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 1990
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/7/9/016