dorsal/arxiv
View SchemaThe evolution and revival structure of angular momentum quantum wave packets (Tutorial)
| Authors | M. Auzinsh |
|---|---|
| Categories | |
| ArXiv ID | physics/9905019 |
| URL | https://arxiv.org/abs/physics/9905019 |
| DOI | 10.1139/cjp-77-7-491 |
| Journal | Can.J.Phys. 77: 491-503 (1999) |
Abstract
In this paper a coherent superposition of angular momentum states created by absorption of polarized light by molecules is analyzed. Attention is paid to the time evolution of wave packets representing spatial orientation of internuclear axis of diatomic molecule. Two examples are considered in detail. Molecules absorbing light in a permanent magnetic field experiencing Zeeman effect and molecules absorbing light in a permanent electric field experiencing quadratic Stark effect. In a magnetic field we have a wave packet that evolves in time exactly as classical dipole oscillator in a permanent magnetic field. In the second case we have the wave packet that goes through periodical changes of a shape of the packet and revivals of initial shape. This is a pure quantum behavior. Classical motion of angular momentum in an electric field in case of quadratic Stark effect is known to be aperiodic. Obtained solutions for wave packet evolution are briefly compared with Rydberg state coherent wave packets and harmonic oscillator wave packets.
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"abstract": "In this paper a coherent superposition of angular momentum states created by\nabsorption of polarized light by molecules is analyzed. Attention is paid to\nthe time evolution of wave packets representing spatial orientation of\ninternuclear axis of diatomic molecule. Two examples are considered in detail.\nMolecules absorbing light in a permanent magnetic field experiencing Zeeman\neffect and molecules absorbing light in a permanent electric field experiencing\nquadratic Stark effect. In a magnetic field we have a wave packet that evolves\nin time exactly as classical dipole oscillator in a permanent magnetic field.\nIn the second case we have the wave packet that goes through periodical changes\nof a shape of the packet and revivals of initial shape. This is a pure quantum\nbehavior. Classical motion of angular momentum in an electric field in case of\nquadratic Stark effect is known to be aperiodic. Obtained solutions for wave\npacket evolution are briefly compared with Rydberg state coherent wave packets\nand harmonic oscillator wave packets.",
"arxiv_id": "physics/9905019",
"authors": [
"M. Auzinsh"
],
"categories": [
"physics.ed-ph",
"physics.chem-ph",
"quant-ph"
],
"doi": "10.1139/cjp-77-7-491",
"journal_ref": "Can.J.Phys. 77: 491-503 (1999)",
"title": "The evolution and revival structure of angular momentum quantum wave packets (Tutorial)",
"url": "https://arxiv.org/abs/physics/9905019"
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