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

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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

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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

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

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沈阳化工大学材料科学与工程学院沈阳 110142

Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles

Corresponding author:LU Jian-Qin,

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

Received Date:2002-11-11
Accepted Date:1900-01-01
Available Online:2003-07-05

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.