共振的Gamov矢量：Lax-Phillips观点
Gamov vectors for Resonances: a Lax-Phillips point of view
摘要：
从Lax-Phillips散射理论的结果被用来分析量子力学散射系统，特别是获得其共振的光谱特性被定义为散射矩阵的极点。对于这种方法，正能量投影和哈代空间投影之间的相互作用是决定性的。除此之外，事实证明，这些极点的谱特性可以由所谓的截断演化的（离散）本征值谱来描述，其本征向量可以被认为是与这些极点相对应的伽莫夫向量。进一步给出了向量$Sg$（$S$散射算子）的正Hardy空间部分展开成一系列Gamov向量的定理。
英文摘要：
Results from the Lax-Phillips Scattering Theory are used to analyze quantum mechanical scattering systems, in particular to obtain spectral properties of their resonances which are defined to be the poles of the scattering matrix. For this approach the interplay between the positive energy projection and the Hardy-space projections is decisive. Among other things it turns out that the spectral properties of these poles can be described by the (discrete) eigenvalue spectrum of a so-called truncated evolution, whose eigenvectors can be considered as the Gamov vectors corresponding to these poles. Further an expansion theorem of the positive Hardy-space part of vectors $Sg$ ($S$ scattering operator) into a series of Gamov vectors is presented.
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