Lie transforms and motion of a charged particle in a periodic magnetic field
We use the Lie series averaging method to obtain a complete second order solution for motion of a charged particle in a spatially periodic magnetic field. A comparison is made with the first order solution obtained previously by Coffey.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1984-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171284000168 |
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| _version_ | 1832562826681516032 |
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| author | Sikha Bhattacharyya R. K. Roy Choudhury |
| author_facet | Sikha Bhattacharyya R. K. Roy Choudhury |
| author_sort | Sikha Bhattacharyya |
| collection | DOAJ |
| description | We use the Lie series averaging method to obtain a complete second order solution for motion of a charged particle in a spatially periodic magnetic field. A comparison is made with the first order solution obtained previously by Coffey. |
| format | Article |
| id | doaj-art-91586752bf5d44e2b1b7bcee98ad75ea |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1984-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-91586752bf5d44e2b1b7bcee98ad75ea2025-02-03T01:21:47ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251984-01-017115916910.1155/S0161171284000168Lie transforms and motion of a charged particle in a periodic magnetic fieldSikha Bhattacharyya0R. K. Roy Choudhury1Electronics Unit, Indian Statistical Institute, Calcutta 700035, IndiaElectronics Unit, Indian Statistical Institute, Calcutta 700035, IndiaWe use the Lie series averaging method to obtain a complete second order solution for motion of a charged particle in a spatially periodic magnetic field. A comparison is made with the first order solution obtained previously by Coffey.http://dx.doi.org/10.1155/S0161171284000168Lie transformsmagnetic momentrelative fluctuationsecond order solution. |
| spellingShingle | Sikha Bhattacharyya R. K. Roy Choudhury Lie transforms and motion of a charged particle in a periodic magnetic field International Journal of Mathematics and Mathematical Sciences Lie transforms magnetic moment relative fluctuation second order solution. |
| title | Lie transforms and motion of a charged particle in a periodic magnetic field |
| title_full | Lie transforms and motion of a charged particle in a periodic magnetic field |
| title_fullStr | Lie transforms and motion of a charged particle in a periodic magnetic field |
| title_full_unstemmed | Lie transforms and motion of a charged particle in a periodic magnetic field |
| title_short | Lie transforms and motion of a charged particle in a periodic magnetic field |
| title_sort | lie transforms and motion of a charged particle in a periodic magnetic field |
| topic | Lie transforms magnetic moment relative fluctuation second order solution. |
| url | http://dx.doi.org/10.1155/S0161171284000168 |
| work_keys_str_mv | AT sikhabhattacharyya lietransformsandmotionofachargedparticleinaperiodicmagneticfield AT rkroychoudhury lietransformsandmotionofachargedparticleinaperiodicmagneticfield |