Open AccessTHE CONVERGENCE OF A MANY-BODY PERTURBATION SERIES FOR AN ATTRACTIVE FERMI-SYSTEM
Author(s) -
Tour Yung
Publication year - 1966
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.22.580
Subject(s) - perturbation (astronomy) , convergent series , radius of convergence , convergence (economics) , series (stratigraphy) , physics , fermi gamma ray space telescope , divergence (linguistics) , mathematics , mathematical analysis , statistical physics , quantum electrodynamics , quantum mechanics , power series , paleontology , linguistics , philosophy , economics , biology , economic growth
The problem of the convergence for Wigner and Schr?dinger perturbation series is discussed by means of the functional analysis method. It is found that the convergent radii of two typic perturbation series are equivalent, but the rates of the convergence or divergence are not equivalent. An useful test is given.