Bloch varieties of higher-dimensional, periodic schrödinger operators

• Autorzy: Klauer A. , Schmidt M. U.
• Języki publikacji: EN

Abstrakty

EN

We relax the regularity conditions on potentials of higher-dimensional periodic Schrodinger operators while their resolvents may still be denned as compact operators on L2. This enables us to define the Bloch varieties locally as the zero locus of a holomorphic map in a more general setting. We also give an asymptotic description of the Fermi curve.

Słowa kluczowe

EN

Bloch variety; periodic Schrödinger operator; Fermi curve

PL

rozmaitość Blocha; okresowy operator Schrödingera; krzywa Fermiego

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2009
• Tom: Vol. 15, nr 1
• Strony: 33--46
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Klauer A.

autor

Schmidt M. U.

• Lehrstuhl für Mathematik III Universität Mannheim,

Bibliografia

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