https://scholars.lib.ntu.edu.tw/handle/123456789/575266
標題: | Adiabatic invariant in light of Hamilton's principle | 作者: | YIH-YUH CHEN | 公開日期: | 2020 | 卷: | 67 | 起(迄)頁: | 253-264 | 來源出版物: | Chinese Journal of Physics | 摘要: | Adiabatic invariants are specific physical quantities which do not change appreciably even after a very long time when the Hamiltonian of a mechanical system undergoes a slow change in time. Existing proofs of this nice feature range from sophistication, and typically resort to a sort of averaging principle using Hamilton's equations of motion. We show that a much simpler argument based directly on Hamilton's principle per se is possible. Furthermore, this approach readily reveals an interesting local recurrent property of the adiabatic invariants that is rarely emphasized in the existing literature. We also show how our simpler approach can be easily generalized to derive the time dependence of the adiabatic invariant. ? 2020 The Physical Society of the Republic of China (Taiwan) |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85089000949&doi=10.1016%2fj.cjph.2020.06.013&partnerID=40&md5=e2bd64caf4ee81d0b386f40d685deb10 https://scholars.lib.ntu.edu.tw/handle/123456789/575266 |
ISSN: | 5779073 | DOI: | 10.1016/j.cjph.2020.06.013 |
顯示於: | 物理學系 |
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