Asymptotics of the Fourier transform of the spectral measure for Schr$ouml$dinger operators with bounded and unbounded sparse potentials

DOI10.1088/0305-4470/35/30/314zbMath1066.81009OpenAlexW2069095557MaRDI QIDQ4465974

Denis Krutikov

Publication date: 9 June 2004

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

Full work available at URL: https://doi.org/10.1088/0305-4470/35/30/314

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Linear difference operators (47B39)

Related Items (3)

The spectral measure of a Jacobi matrix in terms of the Fourier transform of the perturbation ⋮ Dynamical analysis of Schrödinger operators with growing sparse potentials ⋮ Sparse one-dimensional discrete Dirac operators II: Spectral properties

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