The analysis of the covariant brackets on the space of functions on the solutions to a variational problem in the framework of contact geometry initiated in the companion letter[Formula: see text] is extended to the case of the multisymplectic formulation of the free Klein–Gordon theory and of the free Schrödinger equation.

中文翻译：

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协变变分演化和雅可比括号：字段

在伴随信[公式：见正文]中开始的接触几何框架中对变分问题解的函数空间协变括号的分析扩展到自由克莱因-戈登的多辛公式的情况理论和自由薛定谔方程。