Resonances in the One Dimensional Stark Effect in the Limit of Small Field

DOI10.1007/978-3-030-68490-7_7zbMath1479.35270arXiv1907.03333OpenAlexW2953525643MaRDI QIDQ5011573

Richard Froese, Ira W. Herbst

Publication date: 27 August 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.03333

zbMATH Keywords

resonanceStark effectsmall electric field

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Inverse resonance problem for Jacobi operators on a half-lattice ⋮ Inverse Resonance Problems for Energy-Dependent Potentials on the Half-Line ⋮ Inverse resonance scattering on rotationally symmetric manifolds

Cites Work

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• Instability of pre-existing resonances under a small constant electric field
• Imaginary part of a resonance in barrier penetration
• The mathematical theory of resonances whose widths are exponentially small. II
• Dilation analyticity in constant electric field I. The two body problem
• The mathematical theory of resonances whose widths are exponentially small
• Dilation analyticity in constant electric field. II: N-body problem, Borel summability
• Spectral analysis of N-body Schrödinger operators
• Absence of singular continuous spectrum for certain self-adjoint operators
• Resonances in the Stark effect of atomic systems
• Asymptotics of resonances for 1D Stark operators
• Resonances for 1D Stark operators
• Instability of resonances under Stark perturbations
• Can we trust the relationship between resonance poles and lifetimes?
• Borel summability and indeterminacy of the Stieltjes moment problem: Application to the anharmonic oscillators
• Resonances in one-dimensional Stark effect and continued fractions
• Resonances—lost and found

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