Distributional Borel summability of odd anharmonic oscillators

被引：28

作者：

Caliceti, E ^{[1
]}

机构：

[1] Univ Bologna, Dipartmento Matemat, I-40127 Bologna, Italy

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2000年 / 33卷 / 20期

关键词：

D O I：

10.1088/0305-4470/33/20/303

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is proved that the divergent Rayleigh-Schrodinger perturbation expansions for the eigenvalues of any odd anharmonic oscillator are Borel summable in the distributional sense to the resonances naturally associated with the system.

引用

页码：3753 / 3770

页数：18

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