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.
@article{JEDP_2000____A18_0,
author = {Suslina, Tatiana},
title = {Absolute continuity of the spectrum of periodic operators of mathematical physics},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
year = {2000},
pages = {1-13},
language = {en},
url = {http://dml.mathdoc.fr/item/JEDP_2000____A18_0}
}
Suslina, Tatiana. Absolute continuity of the spectrum of periodic operators of mathematical physics. Journées équations aux dérivées partielles, (2000), pp. 1-13. http://gdmltest.u-ga.fr/item/JEDP_2000____A18_0/
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