Resonances in the one dimensional Stark effect in the limit of small field

2019/07/07 by Richard Froese, Froese, Richard, Ira Herbst +1 · 1 citation
Mathematics · Physics and Astronomy · #34E05 #81V45 #Atomic and Molecular Physics #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1907.03333

openalex publication_date 2019/07/07 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

We discuss the resonances of Hamiltonians with constant electric field in one dimension in the limit of small field. These resonances occur near the real axis, near zeros of the analytic continuation of a reflection coefficient for potential scattering, and near the line arg z = -2π/3. We calculate their asymptotics. In conclusion we make some remarks about the higher dimensional problem.

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