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Relativistic Quantum Theory of Many-Electron Systems

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Many-Electron Approaches in Physics, Chemistry and Mathematics

Part of the book series: Mathematical Physics Studies ((MPST))

Abstract

In this chapter, we review the development of the relativistic semi-classical theory of many-electron systems, in which the quantized matter field is described by the Dirac equation, while electromagnetic interactions are treated classically in the framework of Maxwell’s electrodynamics. The long-standing conceptual issues like prolapse and the Brown–Ravenhall desease are revisited, reference to the recently developed exact-decoupling approaches for spinor representations are provided, and selected results are discussed.

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  1. ETH Zurich, Laboratory of Physical Chemistry, Vladimir-Prelog-Weg 2, 8093, Zurich, Switzerland

    Benjamin Simmen & Markus Reiher

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    Volker Bach

  2. Institute for Mathematics, Freie Universität Berlin, Berlin, Germany

    Luigi Delle Site

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Simmen, B., Reiher, M. (2014). Relativistic Quantum Theory of Many-Electron Systems. In: Bach, V., Delle Site, L. (eds) Many-Electron Approaches in Physics, Chemistry and Mathematics. Mathematical Physics Studies. Springer, Cham. https://doi.org/10.1007/978-3-319-06379-9_1

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