Local decay in time of solutions to Schrödinger's equation with a dilation-analytic interaction

DOI10.1007/BF01170357zbMath0397.35056MaRDI QIDQ1253743

Arne Jensen

Publication date: 1978

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154558

zbMATH Keywords

Schrödinger EquationLocal Decay in Time of Solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (14)

Unnamed Item ⋮ Unnamed Item ⋮ Perturbation theory for eigenvalues and resonances of Schrödinger hamiltonians ⋮ Propagation of states in dilation analytic potentials and asymptotic completeness ⋮ New \(L^ p\)-estimates for solutions to the Schrödinger equations and time asymptotic behavior of observables ⋮ Decay for solutions to the schrödinger equations ⋮ Weighted dispersive estimates for two-dimensional Schrödinger operators with Aharonov-Bohm magnetic field ⋮ Schrödinger spectral kernels: High order asymptotic expansions ⋮ Open quantum dots: Resonances from perturbed symmetry and bound states in strong magnetic fields ⋮ Unnamed Item ⋮ The low energy scattering for slowly decreasing potentials ⋮ Spectral properties of the Schrödinger operator with a potential having a slow falloff ⋮ Perturbation of resonances in quantum mechanics ⋮ Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schrödinger operators

Cites Work

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• ON THE THEORY OF THE DISCRETE SPECTRUM OF THE THREE-PARTICLE SCHRÖDINGER OPERATOR
• On positive eigenvalues of one‐body schrödinger operators
• Fredholm Equations on a Hilbert Space of Analytic Functions

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