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Absolutely continuous spectrum of Stark type operators. (English. Russian original) Zbl 1206.81039

St. Petersbg. Math. J. 20, No. 3, 473-492 (2009); translation from Algebra Anal. 20, No. 3, 197-223 (2008).
Summary: Some new conditions are obtained for the absolutely continuous spectrum of a Stark operator to fill the entire real line.

MSC:

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators
47E05 General theory of ordinary differential operators
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