小场极限下一维Stark效应的共振
Resonances in the one dimensional Stark effect in the limit of small field
摘要:
在小场极限下讨论了一维常电场作用下哈密顿算符的共振。这些共振发生在实轴附近,势能散射反射系数解析延拓的零点附近,以及arg z = -2π/3线附近。我们计算它们的渐近性。最后,我们对高维问题作了一些评论。
英文摘要:
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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