Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
Problems of conservative integration in beam physics. / Andrianov, S. N.; Abramova, A. S.
Proceedings of the Particle Accelerator Conference, PAC 2005. 2005. стр. 1087-1089 1590667 (Proceedings of the IEEE Particle Accelerator Conference; Том 2005).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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TY - GEN
T1 - Problems of conservative integration in beam physics
AU - Andrianov, S. N.
AU - Abramova, A. S.
PY - 2005/12/1
Y1 - 2005/12/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33847112417&partnerID=8YFLogxK
U2 - 10.1109/PAC.2005.1590667
DO - 10.1109/PAC.2005.1590667
M3 - Conference contribution
AN - SCOPUS:33847112417
SN - 0780388593
SN - 9780780388598
T3 - Proceedings of the IEEE Particle Accelerator Conference
SP - 1087
EP - 1089
BT - Proceedings of the Particle Accelerator Conference, PAC 2005
T2 - Particle Accelerator Conference, PAC 2005
Y2 - 16 May 2005 through 20 May 2005
ER -
ID: 51672555