Noncommutativity from Embedding Techniques
نویسنده
چکیده
We apply the embedding method of Batalin-Tyutin for revealing noncommutative structures in the generalized Landau problem. Different types of noncommutativity follow from different gauge choices. This establishes a duality among the distinct algebras. An alternative approach is discussed which yields equivalent results as the embedding method. We also discuss the consequences in the Landau problem for a non constant magnetic field.
منابع مشابه
Extended Space Duality in the Noncommutative Plane
Non-Commutative (NC) effects in planar quantum mechanics are investigated. We have constructed a Master model for a noncommutative harmonic oscillator by embedding it in an extended space, following the Batalin-Tyutin [5] prescription. Different gauge choices lead to distinct NC structures, such as NC coordinates, NC momenta or noncommutativity of a more general kind. In the present framework, ...
متن کاملString Theory, Matrix Model, and Noncommutative Geometry
Compacti cation of Matrix Model on a Noncommutative torus is obtained from strings ending on D-branes with background B eld. The BPS spectrum of the system and a novel SL(2; Z) symmetry are discussed. Noncommutativity of space-time coordinates emerged in string theory recently in the context of coincident Dbranes [1]; in fact the embedding coordinates of D-branes turned out to be noncommutative...
متن کاملWavepackets and Duality in Noncommutative Planar Quantum Mechanics
Effects of noncommutativity are investigated in planar quantum mechanics in the coordinate representation. Generally these issues are addressed by converting to the momentum space. In the first part of the work we show noncommutative effects in a Gaussian wavepacket through the broadening of its width. We also rederive results on ∗-product of Gaussian wavepackets. In the second part, we constru...
متن کاملSnbncbs - 2003 Hamiltonian and Lagrangian Dynamics in a Noncommutative Space
We discuss the dynamics of a particular two-dimensional (2D) physical system in the four dimensional (4D) (non-)commutative phase space by exploiting the consistent Hamiltonian and Lagrangian formalisms based on the symplectic structures defined on the 4D (non-)commutative cotangent manifolds. The noncommutativity exists equivalently in the coordinate or the momentum planes embedded in the 4D c...
متن کاملSnbncbs - 2003 Hamiltonian and Lagrangian Dynamics in a Noncommutative Space
We discuss the dynamics of a particular two-dimensional (2D) physical system in the four dimensional (4D) (non-)commutative phase space by exploiting the consistent Hamiltonian and Lagrangian formalisms based on the symplectic structures defined on the 4D (non-)commutative cotangent manifolds. The noncommutativity exists equivalently in the coordinate or the momentum planes embedded in the 4D c...
متن کامل