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Relativistic Transitions in the Hydrogenic Atoms

Elementary Theory

  • Book
  • © 2009

Overview

Authors:
  1. R. Boudet

    1. Université de Provence, Bassan, France

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  • Combines physics of atoms and quantum physics
  • Explains relativistic electron transitions and the photoeffect on the basis of a quantal relativistic theory
  • Useful study text to graduate students
  • Reference for researchers
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Series on Atomic, Optical, and Plasma Physics (SSAOPP, volume 52)

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Table of contents (15 chapters)

  1. Front Matter

    Pages i-xi
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  3. Fields Created by the Dirac Transition Currents Between Two States

    1. The Dirac Transition Currents Between Two States

      Pages 37-39

    2. The Field at Large Distance Created by the Transition Currents

      Pages 41-45

    3. Case of the Transitions P1/2-S1/2 and P3/2-S1/2

      Pages 47-50

  6. Interaction with a Magnetic Field

    1. The Zeeman Effect

      Pages 95-99

  8. Back Matter

    Pages 109-136
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Keywords

About this book

The aim of this volume is twofold. First, it is an attempt to simplify and clarify the relativistic theory of the hydrogen-like atoms. For this purpose we have used the mathematical formalism, introduced in the Dirac theory of the electron by David Hestenes, based on the use of the real Cli?ord algebra Cl(M) associated with the Minkwoski space–time M, that is, the euclidean 4 R space of signature (1,3). This algebra may be considered as the extension to this space of the theory of the Hamilton quaternions (which occupies an importantplaceintheresolutionoftheDiracequationforthecentralpotential problem). The clarity comes from the real form given by D. Hestenes to the electron wavefunctionthatreplaces,inastrictequivalence,theDiracspinor.Thisform is directly inscribed in the frame of the geometry of the Minkwoski space in which the experiments are necessarily placed. The simplicity derives from the uni?cation of the language used to describe the mathematical objects of the theory and the data of the experiments. The mathematics concerning the de?nition and the use of the algebra Cl(M) are not very complicated. Anyone who knows what a vector space is will be able to understand the geometrical implications of this algebra. The lecture will be perhaps more di?cult for the readers already acquainted with the complex formalism of the matrices and spinors, to the extent that the new language will appear di?erent from the one that they have used. But the correspondence between the two formalisms is ensured in the text at each stage of the theory.

Authors and Affiliations

  • Université de Provence, Bassan, France

    R. Boudet

Bibliographic Information

  • Book Title: Relativistic Transitions in the Hydrogenic Atoms

  • Book Subtitle: Elementary Theory

  • Authors: R. Boudet

  • Series Title: Springer Series on Atomic, Optical, and Plasma Physics

  • DOI: https://doi.org/10.1007/978-3-540-85550-7

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2009

  • Hardcover ISBN: 978-3-540-85549-1Published: 08 December 2008

  • Softcover ISBN: 978-3-642-09917-5Published: 19 November 2010

  • eBook ISBN: 978-3-540-85550-7Published: 28 December 2008

  • Series ISSN: 1615-5653

  • Series E-ISSN: 2197-6791

  • Edition Number: 1

  • Number of Pages: XII, 136

  • Topics: Atomic/Molecular Structure and Spectra

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