ON THE ASYMPTOTICS OF HIGH-ORDER TERMS OF THE 1 N EXPANSION/

Authors
POPOV VS SERGEEV AV MUR VD SHCHEBLYKIN AV
Citation
Vs. Popov et al., ON THE ASYMPTOTICS OF HIGH-ORDER TERMS OF THE 1 N EXPANSION/, Physics of atomic nuclei, 57(6), 1994, pp. 1057-1065
Citations number
30
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields
Journal title
Physics of atomic nuclei → ACNP
ISSN journal
10637788
Volume
57
Issue
6
Year of publication
1994
Pages
1057 - 1065
Database
ISI
SICI code
1063-7788(1994)57:6<1057:OTAOHT>2.0.ZU;2-E
Abstract
Analytic and numerical methods for determining the asymptotics of high -order terms of the 1/n expansion in quantum-mechanical problems are d eveloped. It is shown that this asymptotics is always of the factorial type. The dependence of parameters of the asymptotics on the form of the potential and on the coupling constant is especially analyzed in t he vicinity of the point of collision of classical solutions.