Several complex variables and the distribution of resonances in potential scattering

DOI10.1007/s00220-005-1381-yzbMath1088.81093arXivmath/0408183OpenAlexW2052863802MaRDI QIDQ818598

Tanya Christiansen

Publication date: 21 March 2006

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

Full work available at URL: https://arxiv.org/abs/math/0408183

zbMATH Keywords

Schrödinger operatorscattering matrixplurisubharmonic functionspotential scatteringdistribution of resonances

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05) Plurisubharmonic functions and generalizations (32U05)

Related Items

Schrödinger operators with complex sparse potentials ⋮ Heat traces and existence of scattering resonances for bounded potentials ⋮ Asymptotic number of scattering resonances for generic Schrödinger operators ⋮ Resonance asymptotics for Schrödinger operators on hyperbolic space ⋮ Distribution of scattering resonances for generic Schrödinger operators ⋮ Lower bounds for resonance counting functions for Schrödinger operators with fixed sign potentials in even dimensions

Cites Work

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