A note on the absence of resonances for Schrödinger operators

DOI10.1007/BF00398958zbMath0688.35073OpenAlexW2004977661MaRDI QIDQ1263740

Shu Nakamura

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00398958

zbMATH Keywords

parametrixabsence of resonancesresolvent estimate

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Linear symmetric and selfadjoint operators (unbounded) (47B25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Trapped rays in cylindrically symmetric media and poles of the analytically continued resolvent ⋮ Shape resonances for distortion analytic schrödinger operators ⋮ Geometric bounds on the density of resonances for semiclassical problems ⋮ The Mourre estimate in the semiclassical limit ⋮ Stark ladder resonances for small electric fields ⋮ Unnamed Item

Cites Work

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• Calcul fonctionnel par la transformation de Mellin et opérateurs admissibles
• On the location of resonances for Schrödinger operators in the semiclassical limit. I: Resonances free domains
• The shape resonance
• On the absence of resonances for Schrödinger operators with non- trapping potentials in the classical limit
• Qualitative properties of solutions of certain fourth order linear differential equations
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Semi-classical bounds for resolvents of schrödinger operators and asymptotics for scattering phases
• Exponential decay in the Stark effect

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