含时非线性振子的量子准不变量及其在电子感应加速器动力学中的应用
The quantum quasi-invariant of the time-dependent nonlinear oscillator and application to betatron dynamics
摘要：
对六极横向电子感应加速器动力学中的非线性含时振子，求出了经典和量子近似不变量。它们用与相空间坐标的幂相关的李代数的元素来表示。发现了对经典准不变量的一阶量子修正。
英文摘要：
Both the classical and quantum approximate invariants are found for the nonlinar r time-dependent oscillator of sextupole transverse betatron dynamics. They are represented in terms of the elements of a Lie algebra associated with powers of phase space coordinates. The first order quantum correction to the classical quasi-invariant is found.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
