关于经典力学与统计力学的纤维丛表述
On fibre bundle formulation of classical and statistical mechanics
摘要：
经典力学和经典统计力学的一些基本原理都是用纤维丛表示的。在束方法的动力学和分布函数被取代的提升路径在一个适当选择的束。它们的时间演化是由适当的线性传输沿路径，或等价地，由相应的不变束运动方程。特别地，导出了Liouville方程的束形式。
英文摘要：
Some elements of classical mechanics and classical statistical mechanics are formulated in terms of fibre bundles. In the bundle approach the dynamical and distribution functions are replaced by liftings of paths in a suitably chosen bundle. Their time evolution is described by appropriate linear transports along paths in it or, equivalently, by corresponding invariant bundle equations of motion. In particular, the bundle version of the Liouville equation is derived.
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