Time dependent partial waves and vortex rings in the dynamics of wave packets
Quantum Physics
2008-11-26 v1
Abstract
We have found a new class of time dependent partial waves which are solutions of time dependent Schr\"odinger equation for three dimensional harmonic oscillator. We also showed the decomposition of coherent states of harmonic oscillator into these partial waves. This decomposition appears perticularly convenient for a description of the dynamics of a wave packet representing a particle with spin when the spin--orbit interaction is present in the hamiltonian. An example of an evolution of a localized wave packet into a torus and backwards, for a particular initial conditions is analysed in analytical terms and shown with a computer graphics.
Cite
@article{arxiv.quant-ph/9702043,
title = {Time dependent partial waves and vortex rings in the dynamics of wave packets},
author = {R. Arvieu and P. Rozmej and W. Berej},
journal= {arXiv preprint arXiv:quant-ph/9702043},
year = {2008}
}
Comments
10 pages, LaTeX, 6 postscript figures, submitted to J. Phys. A: Math. Gen