Coulomb Scattering

  • Siegmund Brandt
  • Hans Dieter Dahmen

Abstract

In Section 13.4 we discussed the stationary bound states in the attractive Coulomb potential. The bound-state wave functions were characterized by three quantum numbers, the principal quantum number n, total angular-momentum quantum number ℓl, and the quantum number m of the z component of angular momentum. The energies of the bound states are all negative, E n = −Mc2α/(2n2). The set of the bound states in the hydrogen atom is not complete. Since the Coulomb potential vanishes at infinity there exists also a set of continuum scattering states for all positive energy eigenvalues E.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Siegmund Brandt
    • 1
  • Hans Dieter Dahmen
    • 1
  1. 1.Physics DepartmentUniversity of SiegenSiegenGermany

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