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Line-density and Hamiltonian desity, random bunch set-up

We assume an equilibrium bunch in a synchrotron with multi-frequency RF system and possibly energy loss or acceleration per turn; for this bunch a linear line-density λ(τ) is given. We want first to determine a mathematical expression for the density function ρ in 2-dimensional longitudinal phase...

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Autor principal: Tückmantel, Joachim
Lenguaje:eng
Publicado: 2010
Materias:
Acceso en línea:https://dx.doi.org/10.5281/zenodo.8297072
http://cds.cern.ch/record/2868941
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author Tückmantel, Joachim
author_facet Tückmantel, Joachim
author_sort Tückmantel, Joachim
collection CERN
description We assume an equilibrium bunch in a synchrotron with multi-frequency RF system and possibly energy loss or acceleration per turn; for this bunch a linear line-density λ(τ) is given. We want first to determine a mathematical expression for the density function ρ in 2-dimensional longitudinal phase space having this τ -projection λ(τ) and then a randomized set of macro-particles corresponding to it.
id cern-2868941
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
record_format invenio
spelling cern-28689412023-08-31T18:34:34Zdoi:10.5281/zenodo.8297072http://cds.cern.ch/record/2868941engTückmantel, JoachimLine-density and Hamiltonian desity, random bunch set-upAccelerators and Storage RingsWe assume an equilibrium bunch in a synchrotron with multi-frequency RF system and possibly energy loss or acceleration per turn; for this bunch a linear line-density λ(τ) is given. We want first to determine a mathematical expression for the density function ρ in 2-dimensional longitudinal phase space having this τ -projection λ(τ) and then a randomized set of macro-particles corresponding to it.oai:cds.cern.ch:28689412010
spellingShingle Accelerators and Storage Rings
Tückmantel, Joachim
Line-density and Hamiltonian desity, random bunch set-up
title Line-density and Hamiltonian desity, random bunch set-up
title_full Line-density and Hamiltonian desity, random bunch set-up
title_fullStr Line-density and Hamiltonian desity, random bunch set-up
title_full_unstemmed Line-density and Hamiltonian desity, random bunch set-up
title_short Line-density and Hamiltonian desity, random bunch set-up
title_sort line-density and hamiltonian desity, random bunch set-up
topic Accelerators and Storage Rings
url https://dx.doi.org/10.5281/zenodo.8297072
http://cds.cern.ch/record/2868941
work_keys_str_mv AT tuckmanteljoachim linedensityandhamiltoniandesityrandombunchsetup