On the structure of spectra of periodic elliptic operators Academic Article

abstract

• The paper discusses the problem of absolute continuity of spectra of periodic elliptic operators. A new result on absolute continuity for a matrix operator of Schrdinger type is obtained. It is shown that all types of operators for which the absolute continuity has previously been established can be reduced to this one. It is also discovered that some natural generalizations stumble upon an obstacle in the form of non-triviality of a certain analytic bundle on the two-dimensional torus.

authors

• Kuchment, Peter

published proceedings

• TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

author list (cited authors)

• Kuchment, P., & Levendorskii, S.

citation count

• 31

complete list of authors

• Kuchment, P||Levendorskii, S

publication date

• September 2002

publisher

• American Mathematical Society (AMS)  Publisher

keywords

• Absolutely Continuous Spectrum
• Elliptic Operator
• Magnetic And Electric Potentials
• Periodic Operator
• Schrodinger Operator

Digital Object Identifier (DOI)

• 10.1090/S0002-9947-01-02878-1

start page

• 537

end page

• 569

volume

• 354

issue

• 2

URL

• http%3A%2F%2Fdx.doi.org%2F10.1090%2Fs0002-9947-01-02878-1