STARK RESONANCES - ASYMPTOTICS AND DISTRIBUTIONAL BOREL SUM

被引:23
作者
CALICETI, E [1 ]
GRECCHI, V [1 ]
MAIOLI, M [1 ]
机构
[1] UNIV MODENA,DIPARTIMENTO MATEMAT PURA & APPLICATA,I-41100 MODENA,ITALY
关键词
D O I
10.1007/BF02099764
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We prove that the Stark effect perturbation theory of a class of bound states uniquely determines the position and the width of the resonances by Distributional Borel Sum. In particular the small field asymptotics of the width is uniquely related to the large order asymptotics of the perturbation coefficients. Similar results apply to all the ''resonances'' of the anharmonic and double well oscillators.
引用
收藏
页码:347 / 357
页数:11
相关论文
共 23 条
[1]   THE LARGE N EXPANSION AS A LOCAL PERTURBATION-THEORY [J].
ANDRIANOV, AA .
ANNALS OF PHYSICS, 1982, 140 (01) :82-100
[2]  
BENDER C, 1971, PHYS REV LETT, V16, P461
[3]   ANHARMONIC OSCILLATOR .2. STUDY OF PERTURBATION-THEORY IN LARGE ORDER [J].
BENDER, CM ;
WU, TT .
PHYSICAL REVIEW D, 1973, 7 (06) :1620-1636
[4]   ANALYTIC STRUCTURE OF ENERGY LEVELS IN A FIELD-THEORY MODEL [J].
BENDER, CM ;
WU, TT .
PHYSICAL REVIEW LETTERS, 1968, 21 (06) :406-&
[5]  
BREEN S, 1980, THESIS RUTGERS U
[6]  
BUSLAEV V, 1992, EQUIVALENCE UNSTABLE
[7]   CORRECTION [J].
CALICETI, E .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 113 (01) :173-176
[8]   DOUBLE WELLS - PERTURBATION-SERIES SUMMABLE TO THE EIGENVALUES AND DIRECTLY COMPUTABLE APPROXIMATIONS [J].
CALICETI, E ;
GRECCHI, V ;
MAIOLI, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 113 (04) :625-648
[9]  
Caliceti E., 1983, Annales de l'Institut Henri Poincare, Section A (Physique Theorique), V38, P175
[10]   THE DISTRIBUTIONAL BOREL SUMMABILITY AND THE LARGE COUPLING PHI-4 LATTICE FIELDS [J].
CALICETI, E ;
GRECCHI, V ;
MAIOLI, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 104 (01) :163-174