Problems of conservative integration in beam physics

S. N. Andrianov, A. S. Abramova

Research outputpeer-review


In this paper an approach to conservative integration methods development is discussed, This problem is very important for beam physics: from beam line synthesis up to long time evolution simulation. This approach is based on a Lie algebra technique. On the first step we find a special form of decomposition for a Lie map, describing the system under study. On the second step a researcher finds exact solutions for some classes of hamillonians in symbolic forms. These steps allows forming an integration scheme, which have a desired symplectic property. The additional invariant and symmetry properties can be included using dynamical invariants conception.

Original languageEnglish
Title of host publicationProceedings of the Particle Accelerator Conference, PAC 2005
Number of pages3
Publication statusPublished - 1 Dec 2005
EventParticle Accelerator Conference, PAC 2005 - Knoxville, TN
Duration: 16 May 200520 May 2005

Publication series

NameProceedings of the IEEE Particle Accelerator Conference


ConferenceParticle Accelerator Conference, PAC 2005
CountryUnited States
CityKnoxville, TN

Scopus subject areas

  • Engineering(all)

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