أعرض تسجيلة المادة بشكل مبسط

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


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أعرض تسجيلة المادة بشكل مبسط