Time evolution of quantum resonance states
Time evolution of quantum resonance states
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量子共振态的时间演化
作者：
M. Klein;J. Rama;R. Wüst
设H 0是自伴的，E0是嵌入连续谱σc（H 0）中的可能退化的本征值，E0是归一化的本征函数.对于某类扰动W和H = H 0 + W，我们研究了（朴素）共振态e −itH <$0在极限W → 0中的渐近性。这放大了Merkli和Sigal先前的结果。
Let H0 be self-adjoint with E0 a possibly degenerate eigenvalue embedded in the continuous spectrum σc(H0 )a nd ψ0 a normalized eigenfunction. For a certain class of perturbations W and H = H0 + W we investigate the asymptotics of the (naive) resonance state e −itH ψ0 in the limit W → 0. This amplifies previous results of Merkli and Sigal.