The Evolution and Revival Structure of Localized Quantum Wave Packets
摘要
Localized quantum wave packets can be produced in a variety of physical systems and are the subject of much current research in atomic, molecular, chemical, and condensed-matter physics. They are particularly well suited for studying the classical limit of a quantum-mechanical system. The motion of a localized quantum wave packet initially follows the corresponding classical motion. However, in most cases the quantum wave packet spreads and undergoes a series of collapses and revivals. We present a generic treatment of wave-packet evolution, and we provide conditions under which various types of revivals occur in ideal form. The discussion is at a level appropriate for an advanced undergraduate or first-year graduate course in quantum mechanics. Explicit examples of different types of revival structure are provided, and physical applications are discussed.
引用
@article{arxiv.quant-ph/9510029,
title = {The Evolution and Revival Structure of Localized Quantum Wave Packets},
author = {Robert Bluhm and Alan Kostelecky and James Porter},
journal= {arXiv preprint arXiv:quant-ph/9510029},
year = {2009}
}
备注
accepted for publication in Am. J. Phys