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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Spelling suggestions: "subject:"magnetic schroedinger operator"" "subject:"magnetic schroe­dinger operator""

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Semiclassical methods for the two-dimensional Schrödiger operator with a strong magnetic field

Pankrachkine, Konstantin 09 December 2002 (has links)
Es werden spektrale Eigenschaften des zweidimensionalen Schrödinger-Operators mit einem zweifach periodischen Potential und starkem magnetischem Feld untersucht mit Hilfe semiklassischer Methoden. Man beschreibt die spektrale Asymptotik durch Benutzung der Reeb-Graph-Technik. Im Falle des rationalen Flusses konstruiert man semiklassische Magneto-Bloch-Funktionen und beschreibt die Asymptotik des Spektrums auf dem physikalischen Beweisniveau. / Spectral properties of the two-dimensional Schroedinger operator with a two-periodic potential and a strong uniform magnetic field is studied with the help of semiclassical methods. The spectral asymptotics is described using the Reeb graph technique. In the case of the rational flux one constructs semiclassical magneto-Bloch functions and describes the asymptotics of the band spectrum on the physical level of proof.
magnetischer Schrödinger-Operator
semiklassische Analysis
Reeb-Graph
Bloch-Funktionen
magnetic Schroedinger operator
semiclassical analysis
Reeb graph
Bloch functions
510 Mathematik
27 Mathematik
SK 620
ddc:510

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