scientific article

zbMath1358.81107MaRDI QIDQ2961021

Anh Tuan Duong, Mouez Dimassi

Publication date: 17 February 2017

Full work available at URL: http://www.math.okayama-u.ac.jp/mjou/mjou59/_13_Dimassi.pdf

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zbMATH Keywords

asymptotic expansionsspectral shift functionresonancesperiodic Schrödinger operatoroscillating potential

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05)

Related Items (4)

Scattering resonances for highly oscillatory potentials ⋮ Spectral asymptotics for the Schrödinger operator on the line with spreading and oscillating potentials ⋮ Resonances for random highly oscillatory potentials ⋮ Bound States for Rapidly Oscillatory Schrödinger Operators in Dimension 2

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