Wave-Packet Revivals for Quantum Systems with Nondegenerate Energies
arXiv:quant-ph/9609020 · doi:10.1016/0375-9601(96)00641-X
Abstract
The revival structure of wave packets is examined for quantum systems having energies that depend on two nondegenerate quantum numbers. For such systems, the evolution of the wave packet is controlled by two classical periods and three revival times. These wave packets exhibit quantum beats in the initial motion as well as new types of long-term revivals. The issue of whether fractional revivals can form is addressed. We present an analytical proof showing that at certain times equal to rational fractions of the revival times the wave packet can reform as a sum of subsidiary waves and that both conventional and new types of fractional revivals can occur.
accepted for publication in Physics Letters A
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- Wave packet construction in three-dimensional quantum billiards: Visualizing the closed orbit, collapse and revival of wave packets in the cubical billiard
- Quantum revivals in two degrees of freedom integrable systems : the torus case