THE CONVERGENCE OF A MANY-BODY PERTURBATION SERIES FOR AN ATTRACTIVE FERMI-SYSTEM | Zendy

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THE CONVERGENCE OF A MANY-BODY PERTURBATION SERIES FOR AN ATTRACTIVE FERMI-SYSTEM

Author(s) -

Tour Yung

Publication year - 1966

Publication title -

acta physica sinica

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.

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