Polynomial boundedness of eigensolutions and the spectrum of Schrödinger operators

DOI10.1007/BF01934321zbMath0772.35040OpenAlexW2009055247MaRDI QIDQ1195991

Andreas M. Hinz, Günter Stolz

Publication date: 12 January 1993

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164997

zbMATH Keywords

singular sequenceexpansion in generalized eigenfunctionspolynomially bounded eigensolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items

CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS, Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections, Path integrals and the essential self-adjointness of differential operators on noncompact manifolds, Self‐adjointness of non‐semibounded covariant Schrödinger operators on Riemannian manifolds, Schrödinger operators with magnetic and electric potentials, General fractional calculus, evolution equations, and renewal processes, The extraordinary spectral properties of radially periodic Schrödinger operators

Cites Work

• Asymptotic behavior of solutions of \(-\Delta v+qv=\lambda v\) and the distance of \(\lambda\) to the essential spectrum
• Expansions in generalized eigenfunctions of selfadjoint operators
• Spectrum and continuum eigenfunctions of Schrödinger operators
• Schrödinger operators with singular potentials
• Schrödinger semigroups
• REGULARITY OF SOLUTIONS FOR SINGULAR SCHRÖDINGER EQUATIONS
• Schrödinger operators with singular magnetic vector potentials
• Schrödinger operators with singular magnetic vector potentials
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