%0 Journal Article
%T Stabilization of impurity states in crossed magnetic and electric fields
%A Katarzyna Krajewska
%A Jerzy Z. Kaminski
%J Mathematics
%D 2001
%I arXiv
%R 10.1063/1.1491596
%X It is shown that the renormalizability of the zero-range interaction in the two-dimensional space is always followed by the existence of a bound state, which is not true for odd-dimensional spaces. A renormalization procedure is defined and the exact retarded Green's function for electrons moving in two dimensions and interacting with both crossed magnetic and electric fields and an attractive zero-range interaction is constructed. Imaginary parts of poles of this Green's function determine lifetimes of quasi-bound (resonance) states. It is shown that for some particular parameters the stabilization against decay occurs even for strong electric fields.
%U http://arxiv.org/abs/quant-ph/0111148v1