SINGULAR SCHRÖDINGER OPERATORS IN ONE DIMENSION

DOI10.1112/S0025579312000071zbMath1282.34087arXiv1112.4041OpenAlexW3100375823MaRDI QIDQ4911029

E. Brian Davies

Publication date: 13 March 2013

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4041

zbMATH Keywords

spectrumsingular Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) General theory of ordinary differential operators (47E05) Green's functions for ordinary differential equations (34B27) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (4)

On the Weyl solution of the 1-dim Schrödinger operator with inverse fourth power potential ⋮ Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Diagonals of Green's functions and applications

Cites Work

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• Riccati differential equations
• The asymptotic solution of second-order differential equations
• Spectral and scattering theory for the adiabatic oscillator and related potentials
• Estimates for periodic and Dirichlet eigenvalues of the Schrödinger operator with singular potentials

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