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http://dspace.mediu.edu.my:8181/xmlui/handle/123456789/2672| Title: | Classical and quantum mechanics of a charged particle in oscillating electric and magnetic fields |
| Keywords: | magnetic resonance ion trapping isotope separation magnetic confinement |
| Issue Date: | 30-May-2013 |
| Publisher: | Sociedade Brasileira de Física |
| Description: | The motion of a particle with charge q and mass m in a magnetic field given by B = kB0 + B1 [icos(omegat) + jsin(omegat)] and an electric field which obeys <FONT FACE="Symbol">Ñ</FONT> ×E = -<FONT FACE="Symbol">¶</FONT>B/<FONT FACE="Symbol">¶</FONT>t is analysed classically and quantum-mechanically. The use of a rotating coordinate system allows the analytical derivation of the particle classical trajectory and its laboratory wavefunction. The motion exhibits two resonances, one at omega = omegac = -qBo/m, the cyclotron frequency, and the other at omega = omegaL = -qBo/2m, the Larmor frequency. For omega at the first resonance frequency, the particle acquires a simple closed trajectory, and the effective hamiltonian can be interpreted as that of a particle in a static magnetic field. In the second case a term corresponding to an effective static electric field remains, and the particle orbit is an open line. The particle wave function and eigenenergies are calculated. |
| URI: | http://koha.mediu.edu.my:8181/jspui/handle/123456789/2672 |
| Other Identifiers: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300019 http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=3&spage=541 |
| Appears in Collections: | Physics and Astronomy |
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