A Kontorovich-Lebedev representation for zero-range potential eigensolutions

被引：14

作者：

Gasaneo, G ^{[1
]}

Ovchinnikov, S

Macek, JH

机构：

[1] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA

[2] Univ Nacl Sur, RA-8000 Bahia Blanca, Buenos Aires, Argentina

[3] Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 42期

关键词：

D O I：

10.1088/0305-4470/34/42/315

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A novel mathematically simple Kontorovich-Lebedev representation of solutions to the Schrodinger equation for a three-particle problem where two of them interact via a zero-range potential is developed. The asymptotic limits and regularity properties are studied. The connection between the representations for E > 0 and E < 0 is also discussed.

引用

页码：8941 / 8954

页数：14

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