Padé approximants and the effective interaction

H. M. Hofmann

doi:10.1016/0003-4916(78)90210-5

Padé approximants and the effective interaction

H. M. Hofmann

Friedrich Alexander Universität Erlangen-Nürnberg

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Analytic properties of the effective interaction allow us to indicate the positions of the poles of low-order Padé approximants and the domain of convergence of the series of Padé approximants. All evidence favors the conjecture that the Padé approximants will converge to that branch of the effective interaction which reproduces the model space states, if the series converges.

Original language	English
Pages (from-to)	400-420
Number of pages	21
Journal	Annals of Physics
Volume	113
Issue number	2
DOIs	https://doi.org/10.1016/0003-4916(78)90210-5
State	Published - Aug 1978
Externally published	Yes

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title = "Pad{\'e} approximants and the effective interaction",

abstract = "Analytic properties of the effective interaction allow us to indicate the positions of the poles of low-order Pad{\'e} approximants and the domain of convergence of the series of Pad{\'e} approximants. All evidence favors the conjecture that the Pad{\'e} approximants will converge to that branch of the effective interaction which reproduces the model space states, if the series converges.",

author = "Hofmann, \{H. M.\}",

year = "1978",

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AU - Hofmann, H. M.

PY - 1978/8

Y1 - 1978/8

N2 - Analytic properties of the effective interaction allow us to indicate the positions of the poles of low-order Padé approximants and the domain of convergence of the series of Padé approximants. All evidence favors the conjecture that the Padé approximants will converge to that branch of the effective interaction which reproduces the model space states, if the series converges.

AB - Analytic properties of the effective interaction allow us to indicate the positions of the poles of low-order Padé approximants and the domain of convergence of the series of Padé approximants. All evidence favors the conjecture that the Padé approximants will converge to that branch of the effective interaction which reproduces the model space states, if the series converges.

UR - https://www.scopus.com/pages/publications/33745603404

U2 - 10.1016/0003-4916(78)90210-5

DO - 10.1016/0003-4916(78)90210-5

M3 - Article

AN - SCOPUS:33745603404

SN - 0003-4916

VL - 113

SP - 400

EP - 420

JO - Annals of Physics

JF - Annals of Physics

IS - 2

ER -

Padé approximants and the effective interaction

Abstract

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