Trace formulae for the Schrödinger equation with energy-dependent potential

DOI10.1088/1751-8113/43/41/415207zbMath1210.34125OpenAlexW2089279408MaRDI QIDQ3053192

Yu Ping Wang, Chuan-Fu Yang, Zhen-you Huang

Publication date: 4 November 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/41/415207

zbMATH Keywords

Schrödinger operatorspectrumtrace formula

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Eigenvalue problems for integral equations (45C05)

Related Items (7)

Uniqueness theorems for differential pencils with eigenparameter boundary conditions and transmission conditions ⋮ New trace formulae for Sturm-Liouville operators on the Lasso-graph ⋮ Trace formulae for the matrix Schrödinger equation with energy-dependent potential ⋮ An inverse problem for a differential pencil using nodal points as data ⋮ Determination of differential pencils with spectral parameter dependent boundary conditions from interior spectral data ⋮ Trace formulae for differential pencils with spectral parameter dependent boundary conditions ⋮ Erratum: “New trace formulae for a quadratic pencil of the Schrödinger operator” [J. Math. Phys. 51, 033506 (2010)]

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