CLASS OF ANALYTIC PERTURBATIONS FOR ONE-BODY SCHRODINGER HAMILTONIANS
CLASS OF ANALYTIC PERTURBATIONS FOR ONE-BODY SCHRODINGER HAMILTONIANS
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DOI：
10.1007/bf01877510
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发表时间：
1971-01-01
影响因子：
2.4
通讯作者：
COMBES, JM
中科院分区：
文献类型：
--
作者：
AGUILAR, J;COMBES, JM
研究了Rn中一类满足解析性条件的关于伸缩群的对称相对紧扰动。证明了Hamilton算子不存在连续奇异部分，但存在具有谱[0，∞）的绝对连续部分.点谱在R−{0}中由位于有界区域中的有限多重孤立能量束缚态组成。束缚态波函数是关于伸缩群解析的。研究了谐振极点的一些性质。
We study a class of symmetric relatively compact perturbations satisfying analyticity conditions with respect to the dilatation group inRn. Absence of continuous singular part for the Hamiltonians is proved together with the existence of an absolutely continuous part having spectrum [0, ∞). The point spectrum consists in R−{0} of finite multiplicity isolated energy bound-states standing in a bounded domain. Bound-state wave functions are analytic with respect to the dilatation group. Some properties of resonance poles are investigated.