JournalszaaVol. 15, No. 4pp. 851–863

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

  • V.A. Geyler

    Ogarev University Mordovia, Saransk, Russian Federation
  • V.V. Demidov

    Ogarev University Mordovia, Saransk, Russian Federation
On the Green Function of the Landau Operator and its Properties Related to Point Interactions cover
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Abstract

The Green function GG of the Schrödinger operator with a magnetic field (i.e. the Landau operator) HH is studied. Two representations of GG 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 GG we obtain are related to point perturbations of HH.

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. 851–863

DOI 10.4171/ZAA/733