On the Green Function of the Landau Operator and its Properties Related to Point Interactions
Author(s) -
V. A. Geyler,
V. V. Demidov
Publication year - 1996
Publication title -
zeitschrift für analysis und ihre anwendungen
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.567
H-Index - 35
eISSN - 1661-4534
pISSN - 0232-2064
DOI - 10.4171/zaa/733
Subject(s) - operator (biology) , function (biology) , point (geometry) , landau quantization , mathematics , physics , mathematical analysis , quantum mechanics , biology , geometry , evolutionary biology , biochemistry , repressor , magnetic field , transcription factor , gene
The Green function C 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 C we obtain are related to point perturbations of H.
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