Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles

LI Jin-Hai; LI Chao-Long; LU Jian-Qin

Chinese Physics C> 2003, Vol. 27> Issue(7) : 645-648

Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles

Institute of Heavy Ion Physics, Peking University, Beijing 100871, China

Abstract
HTML
Reference
Related

PDF

Abstract：
With Lie algebraic methods, we analysed the nonlinear transport of particle motions in electrostatic quadrupoles up to third order. The procedures are: first, set up the Hamiltonian for the electrostatic quadrupoles, then expand the Hamiltonian into a sum of homogeneous polynomials of different degrees, finally, calculate the particle's nonlinear trajectories up to third order. Higher orders could be obtained if necessary.

References

[1]	. Dragt A J.Physics of High Energy Particle Accelerators,AIP Conference Proceedings No.87,edited by R.A.Carrigan et al.Am.Inst.Phys.,New York,19872. Dragt A J,Finn J M.J .Math.Physics,1976,17:2215 3 Dragt A J,Forest E.J.Math.Physics,1983,24(12):2734

Access

Get Citation

LI Jin-Hai, LI Chao-Long and LU Jian-Qin. Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles[J]. Chinese Physics C, 2003, 27(7): 645-648.

LI Jin-Hai, LI Chao-Long and LU Jian-Qin. Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles[J]. Chinese Physics C, 2003, 27(7): 645-648. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2002-11-11
Revised: 1900-01-01

Article Metric

Article Views(3974)
PDF Downloads(545)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142