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Towards wave theory of charged beam transport: Collection of thoughts

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Abstract

Within the framework of studies on accelerator beam dynamics, this paper formulates, in a rigorous way, a wave theory of charged beam linear transport. The Wigner phase-space distribution function is introduced and provides the link with classical mechanics. Finally the Von-Neumann equation is shown to coincide with the Liouville equation for linear transport.
Authors:
Publication Date:
Dec 31, 1992
Product Type:
Conference
Report Number:
ENEA-RT-INN-91-23; CONF-9103184-3; RT/INN-91-23
Reference Number:
SCA: 430200; 661220; 661100; PA: ITAN-93:000096; SN: 93000947363
Resource Relation:
Conference: Squeezed states and uncertainty relations conference,College Park, MD (United States),28-30 Mar 1991; Other Information: PBD: 1992
Subject:
43 PARTICLE ACCELERATORS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BEAM TRANSPORT; WAVE EQUATIONS; ACCELERATORS; BEAM DYNAMICS; CHARGED-PARTICLE TRANSPORT THEORY; WIGNER THEORY; QUANTUM MECHANICS; PHASE SPACE; LIOUVILLE THEOREM; 430200; 661220; 661100; BEAM DYNAMICS, FIELD CALCULATIONS, AND ION OPTICS; PARTICLE BEAM PRODUCTION AND HANDLING; TARGETS; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10130447
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: DE93769377; TRN: 93:000096
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
ITAN
Size:
13 p.
Announcement Date:
Jul 04, 2005

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Citation Formats

Dattoli, G, Mari, C, and Torre, A. Towards wave theory of charged beam transport: Collection of thoughts. Italy: N. p., 1992. Web.
Dattoli, G, Mari, C, & Torre, A. Towards wave theory of charged beam transport: Collection of thoughts. Italy.
Dattoli, G, Mari, C, and Torre, A. 1992. "Towards wave theory of charged beam transport: Collection of thoughts." Italy.
@misc{etde_10130447,
title = {Towards wave theory of charged beam transport: Collection of thoughts}
 author = {Dattoli, G, Mari, C, and Torre, A}
 abstractNote = {Within the framework of studies on accelerator beam dynamics, this paper formulates, in a rigorous way, a wave theory of charged beam linear transport. The Wigner phase-space distribution function is introduced and provides the link with classical mechanics. Finally the Von-Neumann equation is shown to coincide with the Liouville equation for linear transport.}
 place = {Italy}
 year = {1992}
 month = {Dec}
 }