Sharp upper bounds on the number of the scattering poles

DOI10.1016/j.jfa.2005.07.007zbMath1099.35074arXivmath/0412536OpenAlexW2054650105MaRDI QIDQ2368767

Plamen D. Stefanov

Publication date: 28 April 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412536

zbMATH Keywords

resonancesScattering poles

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 (17)

Resonance counting function in black box scattering ⋮ A sharp lower bound for a resonance-counting function in even dimensions ⋮ Asymptotic distribution of resonances for matrix Schrödinger operator in one dimension ⋮ Scattering resonances on truncated cones ⋮ Fractal Weyl law for open quantum chaotic maps ⋮ Asymptotic number of scattering resonances for generic Schrödinger operators ⋮ Gamow vectors and Borel summability in a class of quantum systems ⋮ Weyl asymptotics of the transmission eigenvalues for a constant index of refraction ⋮ A quantitative Vainberg method for black box scattering ⋮ Mathematical study of scattering resonances ⋮ Resonance-free region in scattering by a strictly convex obstacle ⋮ Resonance asymptotics for Schrödinger operators on hyperbolic space ⋮ Some remarks on resonances in even-dimensional Euclidean scattering ⋮ Distribution of scattering resonances for generic Schrödinger operators ⋮ Lower bounds for resonance counting functions for Schrödinger operators with fixed sign potentials in even dimensions ⋮ On the multilevel internal structure of the asymptotic distribution of resonances ⋮ Scattering resonances of convex obstacles for general boundary conditions

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