Spectral gaps of Schrödinger operators with periodic singular potentials
نویسندگان
چکیده
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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تاریخ انتشار 2009