Edge magnetoplasmons in a two-dimensional electron fluid confined to a half-plane

The magnetoplasma modes of a two-dimensional electron fluid in a half-plane are studied with a hydrodynamic model. For general screening by parallel grounded planes, the dynamical equations are reduced to a single integral equation, whose smallest positive or negative eigenvalues correspond to anomalous edge modes. Numerical solutions are obtained by expanding in a complete set of Laguerre polynomials.