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.
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页码：704 / 707
页数：4
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