Bounds on widths of resonances for stark hamiltonians

DOI10.1007/BF02107590zbMath0714.35056MaRDI QIDQ3199913

Xue Ping Wang

Publication date: 1990

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

Stark effectResonancesPerturbation theoryexponentially smallAgmon distanceexterior dilation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (8)

Complex absorbing potential method for Stark resonances ⋮ A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians ⋮ Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians. ⋮ Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field ⋮ Breit-Wigner formula for the scattering phase in the Stark effect ⋮ Semiclassical study of shape resonances in the Stark effect ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• Multiple wells in the semi-classical limit I
• Résonances en limite semi-classique
• Low energy resolvent estimates and continuity of time-delay operators
• Some theorems on perturbation theory

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