论文标题
汉密尔顿 - 雅各比方程的新型公式，用于高级衍生理论和量子机械对应关系
Novel formulation of Hamilton-Jacobi equation for higher derivative theory and quantum mechanical correspondence
论文作者
论文摘要
对于较高的衍生理论，使用Caratheodory等效的拉格朗日语的方法，我们表明存在汉密尔顿 - 雅各比方程的新型配方，这与汉密尔顿规范方法得出的配方不同。这些新型汉密尔顿 - 雅各比方程的量子力学对应关系导致了非线性量子力学，这似乎能够避免较高衍生理论的量子力学中无界的负能量问题。
For higher derivative theories, using the approach of Caratheodory's equivalent Lagrangian, we show that there exist novel formulations of Hamilton-Jacobi equations, which are different from the formulations derived from Hamilton's canonical approach. The quantum mechanical correspondences of these novel Hamilton-Jacobi equations lead to nonlinear quantum mechanics, which seem being able to avoid the unbounded negative energy problem in the quantum mechanics of higher derivative theories.
