| dc.creator |
Díaz Bulnes J. |
|
| dc.creator |
Oliveira I.S. |
|
| dc.date |
2001 |
|
| dc.date.accessioned |
2013-05-30T01:11:19Z |
|
| dc.date.available |
2013-05-30T01:11:19Z |
|
| dc.date.issued |
2013-05-30 |
|
| dc.identifier |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332001000300023 |
|
| dc.identifier |
http://www.doaj.org/doaj?func=openurl&genre=article&issn=01039733&date=2001&volume=31&issue=3&spage=488 |
|
| dc.identifier.uri |
http://koha.mediu.edu.my:8181/jspui/handle/123456789/3268 |
|
| dc.description |
We obtain exact solutions for the Schrödinger-Pauli matrix equation for a neutral particle of spin 1/2 in a magnetic eld with a field gradient. The analytical wavefunctions are written on the symmetry plane Y = 0, which contains the incident and splitted beams, in terms of the Airy functions. The time-evolution of the probability densities, |<FONT FACE=Symbol>Y+|</FONT>² and |<FONT FACE=Symbol>Y-|² </FONT>, and the eigenenergies are calculated. These include a small contribution from the field gradient, alpha, proportional to (alpha<img src="http:/img/fbpe/bjp/v31n3/sh.gif">)2/3, which amounts to equal energy displacements on both magnetic levels. The results are generalized for spin S = 3/2, and in this case we found that the m = ±1/2 and m = ±3/2 magnetic sublevels are unequaly splitted by the field gradient, being the difference in energy of the order 0.4 MHz. Replacing real experimental parameters we obtained a spatial splitting of the spin up and spin down states of the order deltaz ~ 4 mm, in accordance to a real Stern-Gerlach experiment. |
|
| dc.publisher |
Sociedade Brasileira de Física |
|
| dc.source |
Brazilian Journal of Physics |
|
| dc.title |
Construction of exact solutions for the Stern-Gerlach effect |
|