Abstract
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.
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Communicated by B. Simon
Supported by Alexander von Humboldt Stiftung
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Klein, M., Robert, D. & Wang, XP. Breit-Wigner formula for the scattering phase in the Stark effect. Commun.Math. Phys. 131, 109–124 (1990). https://doi.org/10.1007/BF02097681
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DOI: https://doi.org/10.1007/BF02097681