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Classical, Semiclassical and Quantum Dynamics in Atoms pp 173–204Cite as

The periodically driven excited hydrogen atom

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Part of the book series: Lecture Notes in Physics ((LNP,volume 485))

Abstract

This article describes the effects of relatively strong, periodic perturbations on the classical and quantum dynamics of excited hydrogen atoms and the relation between these two dynamics. By considering a range of driving frequencies it is shown how the relative ratio of this to the unperturbed atomic frequencies affects the response and the relation between the classical and quantum dynamics. After providing an introduction to the system a brief overview of its behaviour in six different frequency regimes is given. This is followed by a detailed discussion of the response of a one-dimensional atom driven by a resonant field describing the subtle relations between the classical and quantum dynamics. This discussion is followed by a description of the more complex response of a three-dimensional hydrogen atom to a low frequency elliptically polarised field where, again, we demonstrate that the relative time scales of the system affect the dynamics in unexpected ways.

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Authors and Affiliations

  1. Mathematics Faculty, The Open University, Milton Keynes, UK

    Derek Richards

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  1. Derek Richards
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Harald Friedrich Bruno Eckhardt

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© 1997 Springer-Verlag

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Richards, D. (1997). The periodically driven excited hydrogen atom. In: Friedrich, H., Eckhardt, B. (eds) Classical, Semiclassical and Quantum Dynamics in Atoms. Lecture Notes in Physics, vol 485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105975

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  • DOI: https://doi.org/10.1007/BFb0105975

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63004-3

  • Online ISBN: 978-3-540-69055-9

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