Absolute continuity of the spectrum of periodic operators of mathematical physics

Tatiana Suslina

Journées équations aux dérivées partielles (2000)

  • page 1-13
  • ISSN: 0752-0360

Abstract

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The lecture is devoted to the problem of absolute continuity of the spectrum of periodic operators. A general approach to this problem was suggested by L. Thomas in 1973 for the case of the Schrödinger operator with periodic electric potential. Further application of his method to concrete operators of mathematical physics met analytic difficulties. In recent years several new problems in this area have been solved. We propose a survey of known results in this area, including very recent, and formulate unsolved problems.

How to cite

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Suslina, Tatiana. "Absolute continuity of the spectrum of periodic operators of mathematical physics." Journées équations aux dérivées partielles (2000): 1-13. <http://eudml.org/doc/93395>.

@article{Suslina2000,
abstract = {The lecture is devoted to the problem of absolute continuity of the spectrum of periodic operators. A general approach to this problem was suggested by L. Thomas in 1973 for the case of the Schrödinger operator with periodic electric potential. Further application of his method to concrete operators of mathematical physics met analytic difficulties. In recent years several new problems in this area have been solved. We propose a survey of known results in this area, including very recent, and formulate unsolved problems.},
author = {Suslina, Tatiana},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-13},
publisher = {Université de Nantes},
title = {Absolute continuity of the spectrum of periodic operators of mathematical physics},
url = {http://eudml.org/doc/93395},
year = {2000},
}

TY - JOUR
AU - Suslina, Tatiana
TI - Absolute continuity of the spectrum of periodic operators of mathematical physics
JO - Journées équations aux dérivées partielles
PY - 2000
PB - Université de Nantes
SP - 1
EP - 13
AB - The lecture is devoted to the problem of absolute continuity of the spectrum of periodic operators. A general approach to this problem was suggested by L. Thomas in 1973 for the case of the Schrödinger operator with periodic electric potential. Further application of his method to concrete operators of mathematical physics met analytic difficulties. In recent years several new problems in this area have been solved. We propose a survey of known results in this area, including very recent, and formulate unsolved problems.
LA - eng
UR - http://eudml.org/doc/93395
ER -

References

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