dorsal/arxiv
View SchemaThe Evolution and Revival Structure of Localized Quantum Wave Packets
| Authors | Robert Bluhm, Alan Kostelecky, James Porter |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9510029 |
| URL | https://arxiv.org/abs/quant-ph/9510029 |
| DOI | 10.1119/1.18304 |
| Journal | Am.J.Phys.64:944-953,1996 |
Abstract
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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"abstract": "Localized quantum wave packets can be produced in a variety of physical\nsystems and are the subject of much current research in atomic, molecular,\nchemical, and condensed-matter physics. They are particularly well suited for\nstudying the classical limit of a quantum-mechanical system. The motion of a\nlocalized quantum wave packet initially follows the corresponding classical\nmotion. However, in most cases the quantum wave packet spreads and undergoes a\nseries of collapses and revivals. We present a generic treatment of wave-packet\nevolution, and we provide conditions under which various types of revivals\noccur in ideal form. The discussion is at a level appropriate for an advanced\nundergraduate or first-year graduate course in quantum mechanics. Explicit\nexamples of different types of revival structure are provided, and physical\napplications are discussed.",
"arxiv_id": "quant-ph/9510029",
"authors": [
"Robert Bluhm",
"Alan Kostelecky",
"James Porter"
],
"categories": [
"quant-ph"
],
"doi": "10.1119/1.18304",
"journal_ref": "Am.J.Phys.64:944-953,1996",
"title": "The Evolution and Revival Structure of Localized Quantum Wave Packets",
"url": "https://arxiv.org/abs/quant-ph/9510029"
},
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