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An adiabatic theorem applicable to the Stark effect

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Publication:1055985
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DOI10.1007/BF01214658zbMath0522.35086MaRDI QIDQ1055985

E. Brian Davies

Publication date: 1983

Published in: Communications in Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

adiabatic theoremtunneling rateStark effect


Mathematics Subject Classification ID

Quantum scattering theory (81U99) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items

Adiabatic theorems for quantum resonances, Structural isomers, double wells, resonances, and Dirichlet decoupling



Cites Work

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  • Dilation analyticity in constant electric field I. The two body problem
  • The mathematical theory of resonances whose widths are exponentially small
  • Resonances, spectral concentration and exponential decay
  • Spectral properties of many-body Schrödinger operators with dilatation- analytic interactions
  • A class of analytic perturbations for one-body Schrödinger Hamiltonians
  • Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory
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