Magnetic field de-trapping of polaronic electrons on films of liquid helium.

We have applied an extension of the Feynman Path Integral formalism to the problem of non-interacting polaronic electrons on the surface of a liquid helium film in a perpendicularly applied magnetic field. The ground state energy, the Feynman model mass, the magnetization and the susceptibility of the system are calculated. We find that at a certain magnetic field value, the polaronic electron undergoes a first order transition from a heavy mass, self-trapped state to a quasi-free Landau state. This detrapping mechanism would have a dramatic effect in a cyclotron resonance experiment.