TY - JOUR
T1 - Gauged Laplacians on quantum Hopf bundles
JF - Comm. Math. Phys. 287 (2009) 179-209
Y1 - 2009
A1 - Giovanni Landi
A1 - Cesare Reina
A1 - Alessandro Zampini
AB - We study gauged Laplacian operators on line bundles on a quantum 2-dimensional sphere. Symmetry under the (co)-action of a quantum group allows for their complete diagonalization. These operators describe `excitations moving on the quantum sphere\\\' in the field of a magnetic monopole. The energies are not invariant under the exchange monopole/antimonopole, that is under inverting the direction of the magnetic field. There are potential applications to models of quantum Hall effect.
PB - Springer
UR - http://hdl.handle.net/1963/3540
U1 - 1161
U2 - Mathematics
U3 - Mathematical Physics
ER -