Empieza el Mayo 23, 2018 15:45
Remarks on Landau Levels, Braid Groups and Laughlin Wave Functions
In this talk, after discussing () the holomorphic geometric quantization of a charged particle on a plane subject to a constant magnetic field perpendicular to the latter (see also ), we shall outline the geometric approach to unitary Riemann surface braid group representations via stable holomorphic bundles on Jacobians developed in  and the ensuing construction of generalized Laughlin wave functions.
 A. Galasso and M. Spera: Remarks on the geometric quantization of Landau levels, Int. J. Geom. Meth. Mod. Phys. 13 (10) (2016), 1650122 (19 pages).
 J. Klauder and E. Onofri: Landau levels and geometric quantization, Int. J. Modern Phys. A 4 (1989) 3939–3949.
 M. Spera: On the geometry of some unitary Riemann surface braid groups representations and Laughlin-type wave functions, J. Geom. Phys. 94 (2015), 120-140.