Communications in Mathematical Physics

, Volume 131, Issue 1, pp 109–124 | Cite as

Breit-Wigner formula for the scattering phase in the Stark effect

  • Markus Klein
  • Didier Robert
  • Xue-Ping Wang


Near resonance energy, we study the asymptotic behavior of the derivative of the scattering phase as the applied electric field tends to zero. We obtain the leading asymptotics of the spectral function near a simple resonance, and as an application we rigorously prove the Breit-Wigner formula which relates the width of resonances to the time delay of particles in a homogeneous electric field.


Neural Network Statistical Physic Time Delay Complex System Asymptotic Behavior 
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Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Markus Klein
    • 1
  • Didier Robert
    • 2
  • Xue-Ping Wang
    • 1
    • 3
  1. 1.Fachbereich Mathematik MA 7-2Technische Universität BerlinBerlin 12FRG
  2. 2.Départment de Mathematiques et d'InformatiqueUniversité de NantesNantes CedexFrance
  3. 3.Department of MathematicsPeking UniversityBeijingChina

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