Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
The Lagrange formalism is developed for Bateman oscillators, which includes both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians is presented. For the null Lagrangians, the 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.
1995 ◽
Vol 53
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pp. 1020-1021
1997 ◽
Vol 71-72
(1-3)
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pp. 403-425
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2020 ◽
Keyword(s):
1878 ◽
Vol 5
(109supp)
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pp. 1725-1726