WebNov 1, 2024 · We review in detail modern numerical methods used in the determination and solution of Bethe–Salpeter and Dyson–Schwinger equations. The algorithms and techniques described are applicable to both the rainbow-ladder truncation and its non-trivial extensions. ... There are innumerable studies of the meson Bethe-Salpeter equation … WebBethe-Salpeter equation in ABINIT. These notes provide a brief introduction to the Bethe-Salpeter (BS) formalism outlining the most important equations involved in the theory. The approach used to compute the BS kernel and the macroscopic dielectric in an implementation based on planewaves and norm-conserving pseudopotentials is also …

T. Hilger B. Ka¨mpfer - ResearchGate

Webpapers by Feynman and by Dyson on quantum electrodynamics, which started in 1949. The Bethe-Salpeter equation was an attempt to put bound states between two or more … WebJun 5, 2016 · The two-particle correlation function is formally given by the Dyson-like Bethe– Salpeter equation derived in Sec. 10.3. The present chapter starts in Sec. 14.1 with a brief reminder of the links between L and measurable quantities, since in this chapter we are interested in the spectra that are derived from L. rdr2 tilly necklace location

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WebThere are very important differences between this two approaches, that can be summarized by noting that the Lippmann-Schwinger is the (formal) solution of a one-body problem … The starting point for the derivation of the Bethe–Salpeter equation is the two-particle (or four point) Dyson equation $${\displaystyle G=S_{1}\,S_{2}+S_{1}\,S_{2}\,K_{12}\,… The Bethe–Salpeter equation (named after Hans Bethe and Edwin Salpeter) describes the bound states of a two-body (particles) quantum field theoretical system in a relativistically covariant formalism. The equation was … See more In principle the interaction kernel K contains all possible two-particle-irreducible interactions that can occur between the two … See more • ABINIT • Araki–Sucher correction • Breit equation • Lippmann–Schwinger equation See more • BerkeleyGW – plane-wave pseudopotential method • ExC - plane wave • Fiesta - Gaussian all-electron method See more As for any homogeneous equation, the solution of the Bethe–Salpeter equation is determined only up to a numerical factor. This factor has to be specified by a certain normalization condition. For the Bethe–Salpeter amplitudes this is usually done by demanding … See more Many modern quantum field theory textbooks and a few articles provide pedagogical accounts for the Bethe–Salpeter equation's context and uses. See: See more WebNov 28, 2024 · We develop a framework for deriving Dyson-Schwinger equations (DSEs) and the Bethe-Salpeter equation (BSE) in QCD at the large ${N}_{c}$ limit. The starting point is a modified form (with auxiliary fields) of the QCD generating functional. This framework provides a natural order-by-order truncation scheme for DSEs and the BSE, … rdr2 thoroughbred coats