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Quantum Electrodynamic Bound-State Calculations and Large-Order Perturbation Theory. - (This manuscript is also available - in the form of a book - from Shaker Verlag GmbH, Postfach 101818, 52018 Aachen, Germany world-wide web address: http://www.shaker.de, electronic-mail address: info@shaker.de. It has been posted on the web sites of Dresden University of Technology with the permission of the publisher.) / Quantenelektrodynamische Rechnungen für gebundene Zustände und Störungstheorie hoher OrdnungJentschura, Ulrich 17 May 2003 (has links) (PDF)
The accurate calculation of atomic spectra, including radiative corrections, is one of the rather challenging tasks in theoretical physics. The entire formalism of quantum (gauge) field theory, augmented by the difficulties of the bound-state formalism, is needed for an accurate understanding of the relevant physics at the level of current high-precision spectroscopy. In this thesis, several calculations in this area are described in detail. Investigations on large-order perturbation-theory effects (and predictive limits of perturbation theory) supplement these investigations. In the context of applications, numerical algorithms for the acceleration of the convergence of series are discussed.
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Quantum Electrodynamic Bound-State Calculations and Large-Order Perturbation Theory. - (This manuscript is also available - in the form of a book - from Shaker Verlag GmbH, Postfach 101818, 52018 Aachen, Germany world-wide web address: http://www.shaker.de, electronic-mail address: info@shaker.de. It has been posted on the web sites of Dresden University of Technology with the permission of the publisher.)Jentschura, Ulrich 26 June 2002 (has links)
The accurate calculation of atomic spectra, including radiative corrections, is one of the rather challenging tasks in theoretical physics. The entire formalism of quantum (gauge) field theory, augmented by the difficulties of the bound-state formalism, is needed for an accurate understanding of the relevant physics at the level of current high-precision spectroscopy. In this thesis, several calculations in this area are described in detail. Investigations on large-order perturbation-theory effects (and predictive limits of perturbation theory) supplement these investigations. In the context of applications, numerical algorithms for the acceleration of the convergence of series are discussed.
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