LANDAU-LEVEL BOSONIZATION OF A 2-DIMENSIONAL ELECTRON-GAS

In this work we introduce a bosonization scheme for the low-energy exc itations of a two-dimensional interacting electron gas in the presence of a uniform magnetic field under conditions where a large integral n umber of Landau levels are filled. We give an explicit construction fo r the electron operator in terms of the bosons. We show that the eleme ntary neutral excitations, known as the magnetic excitons or magnetopl asma modes, can be described within a bosonic language and that it pro vides a quadratic bosonic Hamiltonian for the interacting electron sys tem that can be easily diagonalized.