不那么经典力学--经典运动的意外对称性
Not so Classical Mechanics - Unexpected Symmetries of Classical Motion
摘要:
对最近在哈密顿和拉格朗日动力学系统中感兴趣的主题进行了综述,包括对中心力问题的正则化的讨论;不等价的拉格朗日和哈密顿;中心力运动的常数;对高阶拉格朗日和哈密顿的一般性讨论,并以玻姆量子力学、Korteweg-de Vries方程和Logistic方程为例;牛顿力学的规范理论;经典自旋格拉斯曼数和伪力学
英文摘要:
A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical systems, including accessible discussions of regularization of the central force problem; inequivalent Lagrangians and Hamiltonians; constants of central force motion; a general discussion of higher-order Lagrangians and Hamiltonians with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation and the logistic equation; gauge theories of Newtonian mechanics; classical spin, Grassmann numbers, and pseudomechanics.
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。