CONFINEMENT OF THE RESONANCES IN HYDROGEN STARK EFFECT

被引:9
作者
GRAFFI, S
GRECCHI, V
机构
[1] Istituto Matematico, University di Modena
关键词
D O I
10.1088/0022-3700/12/8/001
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Existence of resonances in the hydrogen Stark effect has recently been demonstrated. For any given value of the electric field strength there are no resonances below -2Z2 and with width smaller than 2 square root 3Z2. Furthermore, if epsilon = Gamma / mod Re(E) mod is the ratio of width to energy then for epsilon small there are no resonances with Re(E) below -8/9Z2(1+ epsilon /2 square root 3+O( epsilon 2)).
引用
收藏
页码:L265 / L267
页数:3
相关论文
共 7 条
[1]   SPECTRAL AND SCATTERING THEORY OF SCHRODINGER OPERATORS RELATED TO STARK EFFECT [J].
AVRON, JE ;
HERBST, IW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1977, 52 (03) :239-254
[2]  
BENASSI L, UNPUBLISHED
[3]   RESONANCES IN STARK EFFECT AND PERTURBATION-THEORY [J].
GRAFFI, S ;
GRECCHI, V .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 62 (01) :83-96
[4]   DILATION ANALYTICITY IN CONSTANT ELECTRIC-FIELD .1. 2 BODY PROBLEM [J].
HERBST, IW .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 64 (03) :279-298
[5]   STARK EFFECT REVISITED [J].
HERBST, IW ;
SIMON, B .
PHYSICAL REVIEW LETTERS, 1978, 41 (02) :67-69
[6]   COUPLING CONSTANT ANALYTICITY FOR ANHARMONIC OSCILLATOR [J].
SIMON, B ;
DICKE, A .
ANNALS OF PHYSICS, 1970, 58 (01) :76-&
[7]  
[No title captured]