Asymptotic completeness for a new class of Stark effect Hamiltonians

DOI10.1007/BF01206951zbMath0606.34020MaRDI QIDQ1084568

Arne Jensen

Publication date: 1986

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Stark-Wannier Hamiltonianasymptotic completenesswave operatorsStark effect Hamiltonian

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Scattering theory of linear operators (47A40) Ordinary differential operators (34L99)

Related Items (8)

Asymptotics of resonances for 1D Stark operators ⋮ Unnamed Item ⋮ Criteria for eigenvalues embedded into the absolutely continuous spectrum of perturbed Stark type operators ⋮ The method of transformation operators in the inverse scattering problem. The one-dimensional Stark effect ⋮ Modified wave operators and Stark Hamiltonians ⋮ Unnamed Item ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ Scattering theory for \(N\)-particle systems with Stark effect: Asymptotic completeness

Cites Work

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• Schrödinger operators with an electric field and random or deterministic potentials
• Remarks on Schrödinger operators with an electric field and deterministic potentials
• Existence of Stark ladder resonances
• Link between the geometrical and the spectral transformation approaches in scattering theory
• Absence of singular continuous spectrum for certain self-adjoint operators
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Phase space analysis of simple scattering systems: extensions of some work of Enss

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