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arXiv 1906.01396math-phmath.MPphysics.class-ph
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复合高阶导数理论的自然Hamilton表述

Natural Hamiltonian formulation of composite higher derivative theories

Hans Christian Öttinger

摘要:

如果一个更高的导数理论产生的变量,涉及时间导数的变换,量身定制的哈密顿公式是存在的。这个优雅的哈密顿制定,这不同于通常的Ostrogradsky方法的高阶导数理论的细节和优点,阐述了机械系统和简单的例子说明。一个规范空间和一组约束都自然地从变量的变换规则中出现。换句话说,量子化的设置和消除不稳定性的过程自然出现。

英文摘要:

If a higher derivative theory arises from a transformation of variables that involves time derivatives, a tailor-made Hamiltonian formulation is shown to exist. The details and advantages of this elegant Hamiltonian formulation, which differs from the usual Ostrogradsky approach to higher derivative theories, are elaborated for mechanical systems and illustrated for simple examples. Both a canonical space and a set of constraints emerge naturally from the transformation rule for the variables. In other words, the setting for quantization and the procedure for eliminating instabilities arise naturally.

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。

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