Free Particle Motion in Three Dimensions

  • Siegmund Brandt
  • Hans Dieter Dahmen
  • Tilo Stroh

Abstract

Description of the three-dimensional motion of a free particle of sharp momentum by a harmonic plane wave. Schrödinger equation of free motion in three dimensions. Gaussian wave packet. Angular momentum. Spherical harmonics as eigenfunctions of angular momentum. Radial Schrödinger equation of free motion. Spherical Bessel functions. Partial-wave decomposition of plane wave and Gaussian wave packet.

Keywords

Wave Packet Classical Particle Schrodinger Equation Quantization Axis Gaussian Wave Packet 
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 New York 2003

Authors and Affiliations

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

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