论文标题
Bateman振荡器：Caldirola-Kanai和Null Lagrangians和量规功能
Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
论文作者
论文摘要
Lagrange形式主义是为Bateman振荡器开发的，其中包括阻尼和放大的系统，以及推出Caldirola-Kanai和Null Lagrangians的一种新颖方法。对于无效的Lagrangian，获得相应的量规函数。结果表明，量规函数可用于将未发达的Bateman振荡器转换为驱动的振荡器。简要讨论了获得的结果对BATEMAN振荡器进行量化的应用。
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians is presented. For the null Lagrangians, corresponding gauge functions are obtained. It is shown that the gauge functions can be used to convert the undriven Bateman oscillators into the driven ones. Applications of the obtained results to quantizatation of the Bateman oscillators are briefly discussed.
