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Zeitschrift für Analysis und ihre Anwendungen


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Volume 15, Issue 4, 1996, pp. 851–863
DOI: 10.4171/ZAA/733

Published online: 1996-12-31

On the Green Function of the Landau Operator and its Properties Related to Point Interactions

V.A. Geyler[1] and V.V. Demidov[2]

(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