Finsler几何路径积分
Finsler Geometrical Path Integral
摘要：
根据Finsler几何，提出了路径积分的新定义.传统的Feynman的计划量化拉格朗日形式主义遭受的问题，由于缺乏几何结构的配置空间的路径积分的定义。我们建议，通过实施费曼的路径积分上的扩展配置空间赋予Finsler结构，形式主义可以被证明是一个适当的计划，从拉格朗日量化只，也就是说，独立于汉密尔顿形式主义。该格式是一个与坐标无关的协变框架，不依赖于时间坐标的选择。
英文摘要：
A new definition for the path integral is proposed in terms of Finsler geometry. The conventional Feynman's scheme for quantisation by Lagrangian formalism suffers problems due to the lack of geometrical structure of the configuration space where the path integral is defined. We propose that, by implementing the Feynman's path integral on an extended configuration space endowed with a Finsler structure, the formalism could be justified as a proper scheme for quantisation from Lagrangian only, that is, independent from Hamiltonian formalism. The scheme is coordinate free, and also a covariant framework which does not depend on the choice of time coordinate.
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