External Fields and Magnetic Transport

Abstract

Homogeneous electric fields give rise to various Stark-type effect in a waveguide, in particular, they can destroy its discrete spectrum. The influence of magnetic fields opens even more possibilities. Local magnetic fields lead to a Hardy-type inequality which can prevent binding. A homogeneous magnetic field can, for instance, destroy a particular symmetry and produce thus resonance states. More important, it can also induce transport in the form of various edge states. An example is presented that such states may exist even in situations having no classical analogue.