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Implementation of the MBPT–QED Procedure with Numerical Results

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Relativistic Many-Body Theory

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics ((SSAOPP,volume 63))

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Abstract

In this chapter, we shall see how the combined covariant-evolution-QED approach developed in the previous chapters can be implemented numerically. In principle, this is equivalent to solving the complete Bethe–Salpeter equation perturbatively, but in practice, of course, approximations have to be made. We shall consistently work in the Coulomb gauge.

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Notes

  1. 1.

    This chapter is mainly based on [53] and, in particular, on the thesis of Daniel Hedendahl [1].

References

  1. Hedendahl, D.: Towards a Relativistic Covariant Many-Body Perturbation Theory. Ph.D. thesis, University of Gothenburg, Gothenburg, Sweden (2010)

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  2. Hedendahl, D., Lindgren, I., Salomonson, S.: Towards numerical implementation of the relativistically covariant many-body perturbation theory. Can. J. Phys. 87, 817–24 (2008)

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  3. Hedendahl, D., Salomonson, S., Lindgren, I.:. Phys. Rev. p. (to be published) (2011)

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  4. Lindgren, I., Morrison, J.: Atomic Many-Body Theory. Second edition, Springer-Verlag, Berlin (1986, reprinted 2009)

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  5. Lindgren, I., Salomonson, S., Hedendahl, D.: Many-body procedure for energy-dependent perturbation: Merging many-body perturbation theory with QED. Phys. Rev. A 73, 062,502 (2006)

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Correspondence to Ingvar Lindgren .

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Lindgren, I. (2011). Implementation of the MBPT–QED Procedure with Numerical Results. In: Relativistic Many-Body Theory. Springer Series on Atomic, Optical, and Plasma Physics, vol 63. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8309-1_10

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  • DOI: https://doi.org/10.1007/978-1-4419-8309-1_10

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-8308-4

  • Online ISBN: 978-1-4419-8309-1

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