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Asymptotics of spectral quantities of Schrödinger operators. (English) Zbl 1317.81119

Barnett, Alex H. (ed.) et al., Spectral geometry. Based on the international conference, Dartmouth, NH, USA, July 19–23, 2010. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5319-1/hbk). Proceedings of Symposia in Pure Mathematics 84, 243-284 (2012).
Summary: We provide new asymptotic estimates of the Floquet exponents of Schrödinger operators on the circle. By the same techniques, known asymptotic estimates of various others spectral quantities are improved.
For the entire collection see [Zbl 1253.58001].

MSC:

81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.)
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