Please use this identifier to cite or link to this item:
http://hdl.handle.net/1843/36978| Type: | Artigo de Periódico |
| Title: | Two helpful developments towards better understanding adiabatic invariance in classical mechanics |
| Authors: | José Rachid Mohallem |
| Abstract: | The topic of difficult understanding of adiabatic invariance in classical mechanics is dealt with in a more understandable way. Using the one-dimensional harmonic oscillator as an example, the goals of this paper are twofold. First, given a first-order parameter variation, the second-order magnitude of the correction to the adiabatic invariant is established in simple terms. Second, the identification of the action variable with the invariant quantity for slow variations of different parameters of the Hamiltonian is confirmed, by invoking the correct equation of motion in the derivation. |
| Subject: | Mecânica clássica Energia |
| language: | eng |
| metadata.dc.publisher.country: | Brasil |
| Publisher: | Universidade Federal de Minas Gerais |
| Publisher Initials: | UFMG |
| metadata.dc.publisher.department: | ICX - DEPARTAMENTO DE FÍSICA |
| Rights: | Acesso Aberto |
| metadata.dc.identifier.doi: | http://dx.doi.org/10.1590/1806-9126-RBEF-2018-0214 |
| URI: | http://hdl.handle.net/1843/36978 |
| Issue Date: | 2019 |
| metadata.dc.url.externa: | https://www.scielo.br/j/rbef/a/3nsD9gRzC6zWpJRPMKqrMby/?format=pdf&lang=en |
| metadata.dc.relation.ispartof: | Revista brasileira de ensino de física |
| Appears in Collections: | Artigo de Periódico |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Two helpful developments towards better understanding of.pdf | 200.55 kB | Adobe PDF | View/Open |
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