Scattering on a hyperbolic torus in a constant magnetic field
MATHIAS ANTOINE, Alain Comtet, Stéphane Ouvry
The authors study the quantum mechanical scattering of a particle on a two-dimensional non-compact Riemann manifold of constant negative curvature embedded in a constant external magnetic field. The interplay between fundamental group operations and gauge transformations allows one to compute the scattering states. A closed expression for the phase shift of a plane wave entering the torus through its leak is shown to involve the quantized magnetic flux.
Journal of Physics A Mathematical and General•Aug 21, 1990•34 citations