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Derivation of relativistic three-dimensional formalisms from the Bethe-Salpeter equation

Abraham Klein, Tsung-Shung H. Lee

Open publisher page 58 citations

Abstract

A theoretically complete relativistic three-dimensional formalism was first derived from the Bethe-Salpeter equation by L\'evy, Klein, and Macke. Two new derivations of this work are given with the aim of clarifying its close connection but nonidentity with various popular alternative formalisms of more recent vintage. Insofar as possible, the merits of the various formalisms are presented.

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What this paper is about

A theoretically complete relativistic three-dimensional formalism was first derived from the Bethe-Salpeter equation by L\'evy, Klein, and Macke. Two new derivations of this work are given with the aim of clarifying its close connection but nonidentity with various popular alternative formalisms of more recent vintage. Insofar as possible, the merits of the various formalisms are presented.

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OpenAlex reports 58 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A theoretically complete relativistic three-dimensional formalism was first derived from the Bethe-Salpeter equation by L\'evy, Klein, and Macke. Two new derivations of this work are given with the aim of clarifying its close connection but nonidentity with various popular alternative formalisms of more recent vintage. Insofar as possible, the merits of the various formalisms are presented.

Key concepts: Rotation formalisms in three dimensions, Formalism (music), Bethe–Salpeter equation, Connection (principal bundle), Physics, Mathematical physics, Theoretical physics, Classical mechanics

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