On absolute continuity of spectra of periodic elliptic operators Academic Article

abstract

• The paper contains a brief description of a simplified version of A. Sobolev's proof of absolute continuity of spectra of periodic magnetic Schr"{o}dinger operators. This approach is applicable to all periodic elliptic operators known to be of interest for math physics (including Maxwell), and in all these cases leads to the same model problem of complex analysis. The full account of this approach will be provided elsewhere.

authors

• Kuchment, Peter

published proceedings

• MATHEMATICAL RESULTS IN QUANTUM MECHANICS

author list (cited authors)

• Kuchment, P., & Levendorskii, S.

citation count

• 4

complete list of authors

• Kuchment, P||Levendorskii, S

publication date

• October 1999

publisher

• Springer Nature  Publisher

published in

• Operator Theory Advances and Applications  Journal

keywords

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

Digital Object Identifier (DOI)

• 10.1007/978-3-0348-8745-8_27

start page

• 291

end page

• 297

volume

• 108

URL

• http://dx.doi.org/10.1007/978-3-0348-8745-8_27