Trace formulas for non-self-adjoint periodic Schrödinger operators and some applications

DOI10.1016/j.jmaa.2004.06.024zbMath1070.34116arXivmath/0312254OpenAlexW2019472937MaRDI QIDQ1766713

Kwang C. Shin

Publication date: 8 March 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312254

zbMATH Keywords

trace formulasDirichlet and Neumann eigenvaluesnon-selfadjoint operatorsperiodic potentials

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (5)

A Schauder and Riesz basis criterion for non-self-adjoint Schrödinger operators with periodic and antiperiodic boundary conditions ⋮ Unnamed Item ⋮ Asymptotic form and infinite product representation of solution of a second order initial value problem with a complex parameter and a finite number of turning points ⋮ A criterion for Hill operators to be spectral operators of scalar type ⋮ The generalized Birman–Schwinger principle

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• Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points
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