Asymptotics of the \(S\)-matrix for perturbed Hill operators

DOI10.1134/S106192081401004XzbMath1311.81218MaRDI QIDQ2344138

Evgeny L. Korotyaev

Publication date: 12 May 2015

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Mathematics Subject Classification ID

(S)-matrix theory, etc. in quantum theory (81U20)

Cites Work

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• Periodic Jacobi operator with finitely supported perturbations: the inverse resonance problem
• Levinson formula for perturbed Hill operator
• Distribution of poles for scattering on the real line
• Inverse problem and the trace formula for the Hill operator. II
• Asymptotic distribution of resonances in one dimension
• The inverse problem for the Hill operator. A direct approach
• Resonances in one dimension and Fredholm determinants
• Effective masses and conformal mappings
• Estimates for the Hill operator. I
• Estimates for the Hill operator. II
• Spectral shift function and resonances for slowly varying perturbations of periodic Schrödinger operators
• Resonance theory for perturbed Hill operator
• Periodic Jacobi operator with finitely supported perturbation on the half-lattice
• On the resonances and eigenvalues for a 1D half-crystal with localised impurity
• A Short Proof of Zheludev's Theorem
• A CHARACTERIZATION OF THE SPECTRUM OF HILL'S OPERATOR
• Inverse resonance scattering on the real line
• Sharp asymptotics of the quasimomentum
• ON THE TITCHMARSH-WEYL FUNCTION FOR THE HALF-LINE PERTURBED PERIODIC HILL'S EQUATION

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