Abstract
The theory of charged beam transport has been recently formulated by means of a quantum formalism, in which the emittance plays the role of the Planck constant and the Wigner distribution function has been used to characterize the statistical properties of the propagating beam. Both the `quantum` and classical analyses yield the same results only if applied to the case of beams propagating through linear systems like quadrupoles, solenoids, etc. The non- classical aspects, if any, of the problem can be put in evidence by propagation through non-linear elements like sextupoles, octupoles, etc., so that a clear experimental signature between the two formulations can be indicated. This paper presents a numerical analysis of beam propagation through non-linear elements using both the classical and quantum formalisms. It integrates therefore the Liouville and Von Neumann equations using a numerical method based on the operator split technique and on the Fast Fourier transform algorithm. The possibility of distinguishing between the two types of analyses is therefore carefully examined and described.
Citation Formats
Dattoli, G, Giannessi, L, and Mari, C.
Phase-space formalism and charged beam transport.
Italy: N. p.,
1992.
Web.
Dattoli, G, Giannessi, L, & Mari, C.
Phase-space formalism and charged beam transport.
Italy.
Dattoli, G, Giannessi, L, and Mari, C.
1992.
"Phase-space formalism and charged beam transport."
Italy.
@misc{etde_10136016,
title = {Phase-space formalism and charged beam transport}
author = {Dattoli, G, Giannessi, L, and Mari, C}
abstractNote = {The theory of charged beam transport has been recently formulated by means of a quantum formalism, in which the emittance plays the role of the Planck constant and the Wigner distribution function has been used to characterize the statistical properties of the propagating beam. Both the `quantum` and classical analyses yield the same results only if applied to the case of beams propagating through linear systems like quadrupoles, solenoids, etc. The non- classical aspects, if any, of the problem can be put in evidence by propagation through non-linear elements like sextupoles, octupoles, etc., so that a clear experimental signature between the two formulations can be indicated. This paper presents a numerical analysis of beam propagation through non-linear elements using both the classical and quantum formalisms. It integrates therefore the Liouville and Von Neumann equations using a numerical method based on the operator split technique and on the Fast Fourier transform algorithm. The possibility of distinguishing between the two types of analyses is therefore carefully examined and described.}
place = {Italy}
year = {1992}
month = {Dec}
}
title = {Phase-space formalism and charged beam transport}
author = {Dattoli, G, Giannessi, L, and Mari, C}
abstractNote = {The theory of charged beam transport has been recently formulated by means of a quantum formalism, in which the emittance plays the role of the Planck constant and the Wigner distribution function has been used to characterize the statistical properties of the propagating beam. Both the `quantum` and classical analyses yield the same results only if applied to the case of beams propagating through linear systems like quadrupoles, solenoids, etc. The non- classical aspects, if any, of the problem can be put in evidence by propagation through non-linear elements like sextupoles, octupoles, etc., so that a clear experimental signature between the two formulations can be indicated. This paper presents a numerical analysis of beam propagation through non-linear elements using both the classical and quantum formalisms. It integrates therefore the Liouville and Von Neumann equations using a numerical method based on the operator split technique and on the Fast Fourier transform algorithm. The possibility of distinguishing between the two types of analyses is therefore carefully examined and described.}
place = {Italy}
year = {1992}
month = {Dec}
}