Effective interaction in the Rayleigh–Schrödinger perturbation theory

Journal Article · Sat Nov 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.08.002· OSTI ID:22403448

Takayanagi, Kazuo

We present a unified description of the effective interaction v in the Rayleigh–Schrödinger perturbation theory. First, we generalize the well-known bracketing expression for the energy shift ΔE in a one-dimensional model space to express the effective interaction v in a multi-dimensional model space. Second, we show that the generalized bracketing representation has a natural graphic expression in terms of folded diagrams. The present work thus gives a unified understanding of the effective interaction (i) in one- and multi-dimensional model spaces and (ii) in algebraic (bracketing) and graphic (folded diagram) representations.

• OSTI ID: 22403448
• Journal Information: Annals of Physics (New York), Vol. 350; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MANY-DIMENSIONAL CALCULATIONS
ONE-DIMENSIONAL CALCULATIONS
PERTURBATION THEORY
RAYLEIGH-SCHROEDINGER FORMULA