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Twiss parameters and evolution of quantum harmonic oscillator states

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Abstract

This paper shows that the evolution of a quantum state, driven by a harmonic oscillator type Hamiltonian, can be studied by using tools exploited to characterize the evolution of a charged beam in a transport channel. Within the framework of accelerator physics, the relevance of the Courant-Snyder invariant and of Twiss-like parameters to characterize, e.g., the amount of squeezing, is carefully pointed out.
Authors:
Publication Date:
Jun 01, 1991
Product Type:
Technical Report
Report Number:
ENEA-RT-INN-90-68; RT/INN-90-68
Reference Number:
SCA: 430200; 662000; 662100; PA: ITAN-91:002084; SN: 92000621822
Resource Relation:
Other Information: PBD: Jun 1991
Subject:
43 PARTICLE ACCELERATORS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BEAM DYNAMICS; ENERGY LEVELS; QUANTUM ELECTRONICS; QUANTUM MECHANICS; HAMILTONIANS; BEAM EMITTANCE; ACCELERATORS; 430200; 662000; 662100; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GENERAL THEORY OF PARTICLES AND FIELDS
OSTI ID:
10107767
Research Organizations:
ENEA, Frascati (Italy). Dipt. Sviluppo Tecnologie di Punta
Country of Origin:
Italy
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 1120-558X; Other: ON: DE92744013; TRN: 91:002084
Availability:
OSTI; NTIS (US Sales Only)
Submitting Site:
ITAN
Size:
22 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Dattoli, G, Gallerano, G P, Mari, C, Torre, A, and Richetta, M. Twiss parameters and evolution of quantum harmonic oscillator states. Italy: N. p., 1991. Web.
Dattoli, G, Gallerano, G P, Mari, C, Torre, A, & Richetta, M. Twiss parameters and evolution of quantum harmonic oscillator states. Italy.
Dattoli, G, Gallerano, G P, Mari, C, Torre, A, and Richetta, M. 1991. "Twiss parameters and evolution of quantum harmonic oscillator states." Italy.
@misc{etde_10107767,
title = {Twiss parameters and evolution of quantum harmonic oscillator states}
 author = {Dattoli, G, Gallerano, G P, Mari, C, Torre, A, and Richetta, M}
 abstractNote = {This paper shows that the evolution of a quantum state, driven by a harmonic oscillator type Hamiltonian, can be studied by using tools exploited to characterize the evolution of a charged beam in a transport channel. Within the framework of accelerator physics, the relevance of the Courant-Snyder invariant and of Twiss-like parameters to characterize, e.g., the amount of squeezing, is carefully pointed out.}
 place = {Italy}
 year = {1991}
 month = {Jun}
 }