Tunneling transverse to a magnetic field and its occurrence in correlated 2D electron systems

We investigate tunneling decay in a magnetic field. Because of broken time- reversal symmetry, the standard WKB technique does not apply. The decay rat e and the outcoming wave packet are found from the analysis of the set of t he particle Hamiltonian trajectories and its singularities in complex space . The results are applied to tunneling from a strongly correlated 2D electr on system in a magnetic field parallel to the layer. We show in a simple mo del that electron correlations strongly affect the tunneling rate.