Zeitschrift für Analysis und ihre Anwendungen
Full-Text PDF (935 KB) | Metadata | Table of Contents | ZAA summary
Published online: 1996-12-31
On the Green Function of the Landau Operator and its Properties Related to Point InteractionsV.A. Geyler and V.V. Demidov (1) Ogarev University Mordovia, Saransk, Russian Federation
(2) Ogarev University Mordovia, Saransk, Russian Federation
The Green function $G$ of the Schrödinger operator with a magnetic field (i.e. the Landau operator) $H$ is studied. Two representations of $G$ 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 $G$ we obtain are related to point perturbations of $H$.
Keywords: Schrödinger operator, magnetic fields, Green functions, zero-range potentials
Geyler V.A., Demidov V.V.: On the Green Function of the Landau Operator and its Properties Related to Point Interactions. Z. Anal. Anwend. 15 (1996), 851-863. doi: 10.4171/ZAA/733