BENDER-WU FORMULA AND THE STARK EFFECT IN HYDROGEN

被引：70

作者：

BENASSI, L

GRECCHI, V

HARRELL, E

SIMON, B

机构：

[1] UNIV MODENA,IST FIS,I-41100 MODENA,ITALY

[2] PRINCETON UNIV,DEPT MATH,PRINCETON,NJ 08540

[3] PRINCETON UNIV,DEPT PHYS,PRINCETON,NJ 08540

来源：

PHYSICAL REVIEW LETTERS | 1979年 / 42卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.42.704

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss a close connection between the formula of Banks, Bender, and Wu for the asymptotics of the Rayleigh-Schrödinger coefficients of the two-dimensional rotationally symmetric anharmonic oscillator and the behavior of resonances of the hydrogen Stark problem in two regimes: small field (Oppenheimer's formula) and large field (where we obtain the new results argE→-π3, |E|∼α[F(lnF)]23 for F, the electric field strength, going to infinity). We also announce a rigorous proof of Bender-Wu-type formulas. © 1979 The American Physical Society.

引用

页码：704 / 707

页数：4

共 26 条

[11]

FROMIN N, 1965, JWKB APPROXIMATIONS

[12] EXISTENCE AND BOREL SUMMABILITY OF RESONANCES IN HYDROGEN STARK EFFECT [J].