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Bound States in Three Dimensions

  • Siegmund BrandtEmail author
  • Hans Dieter Dahmen
  • Tilo Stroh
Chapter

Abstract

Introduction of the Schrödinger equation with potential. Partial-wave decomposition. Spherical harmonics as eigenfunctions of angular momentum. Radial Schrödinger equation. Centrifugal barrier. Normalization and orthogonality of bound-state wave functions.Infinitely deep square-well potential. Spherical step potential. Harmonic oscillator. Coulomb potential. Harmonic particle motion.

Keywords

Harmonic Oscillator Contour Line Coulomb Potential Energy Eigenvalue Principal Quantum Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Siegmund Brandt
    • 1
    Email author
  • Hans Dieter Dahmen
    • 1
  • Tilo Stroh
    • 1
  1. 1.Physics DepartmentSiegen UniversitySiegenGermany

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