The Bethe–Salpeter Equation

  • Ingvar LindgrenEmail author
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 63)


In this chapter, we discuss the Bethe–Salpeter equation and its relation to the procedure we have developed so far. We start by summarizing the original derivations of the equation by Bethe and Salpeter and by Gell-Mann and Low, which represented the first rigorous covariant treatments of the bound-state problem. We demonstrate that this field-theoretical treatment is completely compatible with the presentation made here. The treatments of Bethe and Salpeter and of Gell-Mann and Low concern the single-reference situation, while our procedure is more general. We, later in this chapter, extend the Bethe–Salpeter equation to the multireference case, which will lead to what we refer to as the Bethe–Salpeter–Bloch equation in analogy with corresponding equation in MBPT.


Bloch Equation Dyson Equation Original Derivation Irreducible Graph Simple Atomic System 
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© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of GothenburgGöteborgSweden

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