Semiclassical study of shape resonances in the Stark effect

DOI10.4171/JST/352zbMath1480.81055arXiv1901.08315MaRDI QIDQ2247203

Kentaro Kameoka

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08315

zbMATH Keywords

resonancesemiclassical limitWeyl lawStark effectresonance expansion

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Resonance in context of PDEs (35B34)

Related Items (1)

Complex absorbing potential method for Stark resonances

Cites Work

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• Fractal upper bounds on the density of semiclassical resonances
• Semiclassical estimates on resolvents of Schrödinger operators with homogeneous electric field
• Sharp exponential bounds on resonances states and width of resonances
• Geometric theory of Stark resonances in multielectron systems
• Dilation analyticity in constant electric field I. The two body problem
• Dilation analyticity in constant electric field. II: N-body problem, Borel summability
• Time-delay and spectral density for Stark Hamiltonians. II: Asymptotics of trace formulae
• Spectral and scattering theory of Schrödinger operators related to the Stark effect
• Spectral shift function and resonances for non-semi-bounded and Stark Hamiltonians.
• Resonance expansions of propagators in the presence of potential barriers.
• Resonance free domains for non globally analytic potentials
• Introduction to spectral theory. With applications to Schrödinger operators
• Propagation through trapped sets and semiclassical resolvent estimates
• Quasimodes and resonances: sharp lower bounds
• Bounds on widths of resonances for stark hamiltonians
• A Time-Independent Approach for the Study of the Spectral Shift Function and an Application to Stark Hamiltonians
• Résonances en limite semi-classique
• GENERAL ESTIMATES ON DISTORTED RESOLVENTS AND APPLICATION TO STARK HAMILTONIANS
• Sharp upper bounds on the number of resonances near the real axis for trapping systems
• Gluing Semiclassical Resolvent Estimates via Propagation of Singularities
• Mathematical Theory of Scattering Resonances
• Resonance expansions in semi-classical propagation.
• Exponential decay in the Stark effect

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