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Classical and quantum mechanics of a charged particle in oscillating electric and magnetic fields

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dc.creator Jesus V.L.B. de
dc.creator Guimarães A.P.
dc.creator Oliveira I.S.
dc.date 1999
dc.date.accessioned 2013-05-29T23:14:21Z
dc.date.available 2013-05-29T23:14:21Z
dc.date.issued 2013-05-30
dc.identifier http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97331999000300019
dc.identifier http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=1999&volume=29&issue=3&spage=541
dc.identifier.uri http://koha.mediu.edu.my:8181/jspui/handle/123456789/2672
dc.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.
dc.publisher Sociedade Brasileira de Física
dc.source Brazilian Journal of Physics
dc.subject magnetic resonance
dc.subject ion trapping
dc.subject isotope separation
dc.subject magnetic confinement
dc.title Classical and quantum mechanics of a charged particle in oscillating electric and magnetic fields


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