One-dimensional quasi-periodic Schrodinger operators - Dynamical systems and spectral theory

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作者
Eliasson, LH [1 ]
机构
[1] Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We shall describe two types of results that have been obtained for the one-dimensional quasi-periodic Schrodinger operator, both continuous and discrete. The technique is perturbation theory of KAM-type and the results connect in a fruitful Ray ideas from dynamical systems and from spectral theory. Both results are developments of original works of Dinaburg, Sinai, Frohlich, Spencer, Wittver from the middle 70's and late 80's.
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页码:178 / 190
页数:13
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