Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
نویسندگان
چکیده
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, a novel method to derive the Caldirola-Kanai null Lagrangians presented. For Lagrangians, corresponding gauge functions are obtained. It shown that can be used convert undriven oscillators into driven ones. Applications of obtained results quantizatation briefly discussed.
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ژورنال
عنوان ژورنال: Physics
سال: 2021
ISSN: ['2624-8174']
DOI: https://doi.org/10.3390/physics3020030