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 |
|