Published 1982 | Version v1
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Diagram summation method by means of legendre transformation by a scalar parameter and its application to an anharmonic oscillator

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Description

The summation of an infinite number of diagrams is carried out. The case of the dimension d=1 (anharmonic oscillator) is discussed. The obtained expressions for the ground-state energy are in a satisfactory agreement with the exact results. It is shown that the proposed summation method allows to enlarge by an order the application region as compared to a standard perturbation theory

Availability note (English)

MF available from INIS under the Report Number.

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Additional details

Publishing Information

Imprint Pagination
17 p.
Report number
EFI--574(61)-82

INIS

Country of Publication
USSR
Country of Input or Organization
USSR
INIS RN
14780527
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ANHARMONIC OSCILLATORS; FEYNMAN DIAGRAM; FUNCTIONALS; GROUND STATES; LEGENDRE POLYNOMIALS; NONLINEAR PROBLEMS; SCHWINGER FUNCTIONAL EQUATIONS; WEAK-COUPLING MODEL
Descriptors DEC
DIAGRAMS; DIFFERENTIAL EQUATIONS; ENERGY LEVELS; EQUATIONS; FUNCTIONS; INFORMATION; MATHEMATICAL MODELS; NUCLEAR MODELS; POLYNOMIALS

Optional Information

Notes
5 refs.; 2 figs.; 1 tab.