The evolution and revival structure of localized quantum wave packets
作者:
Robert Bluhm,
V. Alan Kostelecký,
James A. Porter,
期刊:
American Journal of Physics
(AIP Available online 1996)
卷期:
Volume 64,
issue 7
页码: 944-953
ISSN:0002-9505
年代: 1996
DOI:10.1119/1.18304
出版商: American Association of Physics Teachers
关键词: WAVE PACKETS;SEMICLASSICAL APPROXIMATION;RYDBERG STATES;HARMONIC OSCILLATORS;SQUARE−WELL POTENTIAL;03.65
数据来源: AIP
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.
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