论文标题

协变量进化和雅各比括号:粒子

Covariant Variational Evolution and Jacobi Brackets: Particles

论文作者

Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca

论文摘要

在接触几何形状的框架中分析了协方差括号在解决方案空间上的协变括号。有人认为,在功能上的泊松代数应读取为在合适的触点歧管上配备了雅各比支架的函数代数内的泊松子词。

The formulation of covariant brackets on the space of solutions to a variational problem is analyzed in the framework of contact geometry. It is argued that the Poisson algebra on the space of functionals on fields should be read as a Poisson subalgebra within an algebra of functions equipped with a Jacobi bracket on a suitable contact manifold.

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