Spectral gaps of Schrödinger operators with periodic singular potentials
نویسندگان
چکیده
منابع مشابه
Spectral gaps of Schrödinger operators with periodic singular potentials
By using quasi–derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrödinger operators with periodic singular potentials v. Our results reveal a close relationship between smoothness of potentials and spectral gap asymptotics under a priori assumption v ∈ H loc (R). They extend and strengthen similar results proved in the classical case v ∈ L loc (R).
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ژورنال
عنوان ژورنال: Dynamics of Partial Differential Equations
سال: 2009
ISSN: 1548-159X,2163-7873
DOI: 10.4310/dpde.2009.v6.n2.a1