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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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Lenguaje: | eng |
Publicado: |
2010
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Acceso en línea: | https://dx.doi.org/10.5281/zenodo.8297072 http://cds.cern.ch/record/2868941 |
_version_ | 1780978252284690432 |
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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 |