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Title: Unified theory of effective interaction

Abstract

We present a unified description of effective interaction theories in both algebraic and graphic representations. In our previous work, we have presented the Rayleigh–Schrödinger and Bloch perturbation theories in a unified fashion by introducing the main frame expansion of the effective interaction. In this work, we start also from the main frame expansion, and present various nonperturbative theories in a coherent manner, which include generalizations of the Brandow, Brillouin–Wigner, and Bloch–Horowitz theories on the formal side, and the extended Krenciglowa–Kuo and the extended Lee–Suzuki methods on the practical side. We thus establish a coherent and comprehensive description of both perturbative and nonperturbative theories on the basis of the main frame expansion.

Authors:
Publication Date:
OSTI Identifier:
22617369
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics; Journal Volume: 372; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; DISTURBANCES; PERTURBATION THEORY; QUANTUM MECHANICS

Citation Formats

Takayanagi, Kazuo, E-mail: k-takaya@sophia.ac.jp. Unified theory of effective interaction. United States: N. p., 2016. Web. doi:10.1016/J.AOP.2016.04.011.
Takayanagi, Kazuo, E-mail: k-takaya@sophia.ac.jp. Unified theory of effective interaction. United States. doi:10.1016/J.AOP.2016.04.011.
Takayanagi, Kazuo, E-mail: k-takaya@sophia.ac.jp. Thu . "Unified theory of effective interaction". United States. doi:10.1016/J.AOP.2016.04.011.
@article{osti_22617369,
title = {Unified theory of effective interaction},
author = {Takayanagi, Kazuo, E-mail: k-takaya@sophia.ac.jp},
abstractNote = {We present a unified description of effective interaction theories in both algebraic and graphic representations. In our previous work, we have presented the Rayleigh–Schrödinger and Bloch perturbation theories in a unified fashion by introducing the main frame expansion of the effective interaction. In this work, we start also from the main frame expansion, and present various nonperturbative theories in a coherent manner, which include generalizations of the Brandow, Brillouin–Wigner, and Bloch–Horowitz theories on the formal side, and the extended Krenciglowa–Kuo and the extended Lee–Suzuki methods on the practical side. We thus establish a coherent and comprehensive description of both perturbative and nonperturbative theories on the basis of the main frame expansion.},
doi = {10.1016/J.AOP.2016.04.011},
journal = {Annals of Physics},
number = ,
volume = 372,
place = {United States},
year = {Thu Sep 15 00:00:00 EDT 2016},
month = {Thu Sep 15 00:00:00 EDT 2016}
}