Hydrogen Atom—The Quantum-Mechanical Kepler Problem

  • Arno Bohm
Part of the Texts and Monographs in Physics book series (TMP)


The classical Kepler problem is described in Section VI.2, where the Lenz vector is introduced. Section VI.3 gives the algebra of angular momentum and the Lenz vector, and Section VI.4 describes the representation of this algebra. In Section VI.5 we present the algebraic derivation of the hydrogen spectrum and discuss, at the end, fine-structure effects.


Hydrogen Atom Angular Momentum Commutation Relation Energy Operator Lamb Shift 
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  1. 1.
    W. Pauli, Z. Phys. 36, 336 (1926);ADSMATHCrossRefGoogle Scholar
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    V. Bargmann, Z. Phys. 99, 576 (1936).ADSCrossRefGoogle Scholar
  3. 2.
    See, e.g., Barger and Olsson (1973), Chapters 4–3.Google Scholar

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • Arno Bohm
    • 1
  1. 1.Department of Physics Center for Particle TheoryThe University of Texas at AustinAustinUSA

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