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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Brandt, S., Dahmen, H.D. (1991). Free Particle Motion in Three Dimensions. In: Quantum Mechanics on the Macintosh®. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-25102-7_6
Download citation
DOI: https://doi.org/10.1007/978-3-662-25102-7_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-97627-1
Online ISBN: 978-3-662-25102-7
eBook Packages: Springer Book Archive