STUDY OF THE COMPLETENESS PROPERTIES OF RESONANT STATES

被引：40

作者：

ROMO, WJ

机构：

[1] Department of Physics, Carleton University, Ottawa

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1980年 / 21卷 / 02期

关键词：

D O I：

10.1063/1.524417

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The completeness properties of the discrete set of bound state, virtual states, and resonant states of a Hamiltonian H is investigated, where H describes a system in which a single nonrelativistic-spinless particle moves in a central cutoff potential. A limited form of completeness is obtained. It is shown that the convergence of the resulting completeness series" is very sensitive to the detailed mathematical structure of the potential. © 1980 American Institute of Physics."

引用

页码：311 / 326

页数：16

共 38 条

[1]

Abromowitz M., 1965, HDB MATH FUNCTIONS

[2]

APOSTOL TM, 1957, MATH ANAL, P356

[3] STRIPPING REACTIONS LEADING TO DECAYING STATES [J].