Resonance theory for Schrodinger operators

被引:44
作者
Costin, O [1 ]
Soffer, A [1 ]
机构
[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA
关键词
D O I
10.1007/s002200100558
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Resonances which result from perturbation of embedded eigenvalues are studied by time dependent methods. A general theory is developed, with new and weaker conditions, allowing for perturbations of threshold eigenvalues and relaxed Fermi Golden rule. The exponential decay rate of resonances is addressed; its uniqueness in the time dependent picture is shown in certain cases. The relation to the existence of meromorphic continuation of the property weighted Green's function to time dependent resonance is further elucidated, by giving an equivalent time dependent asymptotic expansion of the solutions of the Schrodinger equation.
引用
收藏
页码:133 / 152
页数:20
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