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Atoms in Strong Fields pp 295–307Cite as

High-Order Perturbation Theory and its Application to Atoms in Strong Fields

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Part of the book series: NATO ASI Series ((NSSB,volume 212))

Abstract

Schrödinger invented quantum mechanical perturbation theory in the third1 of his four seminal papers of 1926 to explain the LoSurdo2-Stark3 effect—hydrogen in an external electric field. Following an idea of Lord Rayleigh for treating vibrations, Schrödinger’s expectation was that a few terms in the power series expansion in the external field strength would be sufficient to match the experimental results. Higher-order terms could be obtained recursively from lower-order terms. This initial application of Rayleigh-Schrödinger perturbation theory (RSPT) was so straightforward and successful that it served as a paradigm for what has become a standard tool applied to countless problems in quantum physics.

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Author information

Authors and Affiliations

  1. Department of Chemistry, The Johns Hopkins University, Baltimore, Maryland, 21218, USA

    Harris J. Silverstone

Authors
  1. Harris J. Silverstone
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Editor information

Editors and Affiliations

  1. Theoretical and Physical Chemistry Institute, Hellenic Research Foundation, Athens, Greece

    Cleanthes A. Nicolaides

  2. National Institute of Standards and Technology, Gaithersburg, Maryland, USA

    Charles W. Clark

  3. University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

    Munir H. Nayfeh

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© 1990 Springer Science+Business Media New York

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Silverstone, H.J. (1990). High-Order Perturbation Theory and its Application to Atoms in Strong Fields. In: Nicolaides, C.A., Clark, C.W., Nayfeh, M.H. (eds) Atoms in Strong Fields. NATO ASI Series, vol 212. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-9334-5_16

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  • DOI: https://doi.org/10.1007/978-1-4757-9334-5_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-9336-9

  • Online ISBN: 978-1-4757-9334-5

  • eBook Packages: Springer Book Archive

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