Instability of resonances under Stark perturbations

DOI10.1007/s00023-018-0746-7zbMath1407.81126arXiv1804.05620OpenAlexW3104562718WikidataQ128699768 ScholiaQ128699768MaRDI QIDQ1725713

Kenji Yajima, Arne Jensen

Publication date: 14 February 2019

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05620

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15) Dispersion theory, dispersion relations arising in quantum theory (81U30)

Related Items

On the imaginary part of coupling resonance points ⋮ Resonances in the One Dimensional Stark Effect in the Limit of Small Field

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Instability of pre-existing resonances under a small constant electric field
• Distribution of poles for scattering on the real line
• Asymptotic distribution of resonances in one dimension
• Asymptotics of resonances for 1D Stark operators
• Resonances for 1D Stark operators
• Scattering theory for differential operators. I: Operator theory