Mauro Riccardi 2006 J. Phys. A: Math. Gen. 39 4257 doi:10.1088/0305-4470/39/16/012
Mauro Riccardi
Show affiliationsThe quantum mechanics of a point particle on a noncommutative plane in a magnetic field is implemented in the present work as a deformation of the algebra which defines the Landau levels. I show how to define, in this deformed quantum mechanics, the physical observables, such as the density correlation functions and the Green function, on the completely filled ground level. Also it will be shown that the deformation changes the effective magnetic field which acts on the particles at long range, leading to an incompressible fluid with fractional filling of Laughlin type.
81S10 Geometry and quantization, symplectic methods (See also 53D50)
Issue 16 (21 April 2006)
Received 15 December 2005, in final form 23 February 2006
Published 31 March 2006
Mauro Riccardi 2006 J. Phys. A: Math. Gen. 39 4257
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