The Green function of the Schrödinger operator with a magnetic field (i.e. the Landau operator) is studied. Two representations of are used, namely in form of an integral and of a series. The space-variable asymptotics as well as the energetic ones are obtained. The analytical and asymptotical properties of we obtain are related to point perturbations of .
Cite this article
V.A. Geyler, V.V. Demidov, On the Green Function of the Landau Operator and its Properties Related to Point Interactions. Z. Anal. Anwend. 15 (1996), no. 4, pp. 851–863DOI 10.4171/ZAA/733