Sharp upper bounds on the number of resonances near the real axis for trapping systems

DOI10.1353/ajm.2003.0006zbMath1040.35055OpenAlexW2112310127MaRDI QIDQ4808053

Plamen D. Stefanov

Publication date: 2003

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2003.0006

zbMATH Keywords

number of resonancesquasimodesreference operatorreference operatorssemiclassical long range Schrödinger operatorsemiclassical long-range Schrödinger operatortrapping systemsWeyl type upper bounds

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Resonance in context of PDEs (35B34) Scattering theory of linear operators (47A40)

Related Items (9)

Sharp upper bounds on the number of the scattering poles ⋮ Schrödinger operators with complex sparse potentials ⋮ Meromorphic continuation of the spectral shift function ⋮ Fractal Weyl laws and wave decay for general trapping ⋮ Resonance expansions of propagators in the presence of potential barriers. ⋮ Invariants of Isospectral Deformations and Spectral Rigidity ⋮ Approximating Resonances with the Complex Absorbing Potential Method ⋮ Semiclassical study of shape resonances in the Stark effect ⋮ Distribution of scattering resonances for generic Schrödinger operators

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