Resonance states by the generalized complex variational method
Resonance states by the generalized complex variational method
复制标题
广义复变分法的共振态
DOI：
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发表时间：
1982
期刊：
影响因子：
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通讯作者：
N. Moiseyev
中科院分区：
文献类型：
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作者：
N. Moiseyev
共振态表示为广义久期方程的复定态解。研究这些方程的复定态解的解析行为，作为哈密顿量中耦合参数λ的函数，得到以下结果。1.（1）用于区分描述共振的复稳态解和作为基组上的限制的结果可以获得的复解的标准。2.（2）判断复坐标法结果稳定性的准则和计算程序。在此基础上指出，当在真实的基组上增加复基函数时，共振本征值的稳定性增强是由于哈密顿量的二阶导数对标度参数的期望值可以为负值，而对于真实的基组，它等于动能，因此只能给出正值。
The resonance states are presented as the complex stationary solutions of generalized secular equations. The study of the analytical behaviour of the complex stationary solutions of these equations as a function of a coupling parameter λ in the hamiltonian yields the following. 1. (1)Criteria to distinguish between the complex stationary solutions that describe the resonances and the complex solutions that may be obtained as a result of the restrictions on the basis set. 2. (2)Criteria and a computational procedure for judging the stability of results obtained within the framework of the complex coordinate method. On this basis it is pointed out that the enhanced stability of the resonant eigenvalue when a complex basis function is added to the real basis set is due to the fact that the expectation value of the second derivative of the hamiltonian with respect to the scaling parameter can be negative while for a real basis set it is equal to the kinetic energy and therefore gives positive values only.