非保守系统的积分不变量及其在现代物理中的应用

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Integral Invariant in Noncoservative Systems and Its Application in Modern Physics

摘要: 本文导出了非保守系统的庞卡勒-卡当(Poincaré-Cartan)积分不变量和庞卡勒通用积分不变量.并以积分不变量为工具,研究了三度对称螺旋扇回旋加速器中粒子的非线性振动.结果表明,该方法是成功的.

Abstract: In this paper, the Poincaré and Poincaré-Cartan integral invariants in nonconservative systems are established. According to the integral invariant, he non-linear oscillation of particles in 3-folded symmetry spiral sector cyclotron is investigated, It turns out that the method is successful.

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