Published June 1983 | Version v1
Journal article Metadata-only

Asymptotic estimate of large orders in perturbation theory for the many-fermion ground state energy

Creators

  • 1. Theoretical Divisions, Los Alamos National Laboratory, Los Alamos, New Mexido 87545 and Institut fuer Theoretische Physik and Max-Planck- Institut fuer Kernphysik, Heidelberg, Federal Republic of Germany

Description

The perturbation expansion of the ground-state energy of a many-fermion system interacting via a repulsive boson is investigated. The large-order behaviour of this series is related to the instanton solution of the effective boson Lagrangian. It is determined by the collapsed state of the system, where all fermions are in a volume determined by the Compton-wavelength of the boson. The series is only weakly diverging because of cancellations. The Borel and Borel-Pade resumations of the series are indicated

Additional details

Publishing Information

Journal Title
Ann. Phys. (N.Y.)
Journal Volume
148
Journal Issue
1
Series
Ann. Phys. (N.Y.).
Journal Page Range
168-191
ISSN
0003-4916

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
15000013
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; FERMIONS; GROUND STATES; INSTANTONS; LAGRANGIAN FUNCTION; MANY-BODY PROBLEM; PERTURBATION THEORY; SCHROEDINGER EQUATION
Descriptors DEC
DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; FUNCTIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; WAVE EQUATIONS