Generalization of the Birman-Schwinger method for the number of bound states

被引：2

作者：

Chadan, K

Kobayashi, R

Lassaut, M

机构：

[1] Univ Paris 11, Phys Theor & Hautes Energies Lab, CNRS, F-91405 Orsay, France

[2] Sci Univ Tokyo, Dept Math, Noda, Chiba 278, Japan

[3] Univ Paris 11, Inst Phys Nucl, CNRS, Grp Phys Theor, F-91406 Orsay, France

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1999年 / 40卷 / 04期

关键词：

D O I：

10.1063/1.532832

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We generalize the Birman-Schwinger method, and derive a general upper bound on the number of bound states in the S wave for a spherically symmetric potential. This general bound includes, of course, the Bargmann bound, but also leads, for increasing (negative) potentials, to a Calogero-Cohn-type bound. Finally, we show that for a large class among these potentials, one can obtain further improvements. (C) 1999 American Institute of Physics. [S0022-2488(99)00804- X].

引用

页码：1756 / 1763

页数：8

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