1,441 research outputs found
Relativistic effect of spin and pseudospin symmetries
Dirac Hamiltonian is scaled in the atomic units , which allows us
to take the non-relativistic limit by setting the Compton wavelength . The evolutions of the spin and pseudospin symmetries towards
the non-relativistic limit are investigated by solving the Dirac equation with
the parameter . With transformation from the original
Compton wavelength to 0, the spin splittings decrease monotonously in all spin
doublets, and the pseudospin splittings increase in several pseudospin
doublets, no change, or even reduce in several other pseudospin doublets. The
various energy splitting behaviors of both the spin and pseudospin doublets
with are well explained by the perturbation calculations of Dirac
Hamiltonian in the present units. It indicates that the origin of spin symmetry
is entirely due to the relativistic effect, while the origin of pseudospin
symmetry cannot be uniquely attributed to the relativistic effect.Comment: 15 pages, 7 figures, accepted by PR
Godel Metrics with Chronology Protection in Horndeski Gravities
G\"odel universe, one of the most interesting exact solutions predicted by
General Relativity, describes a homogeneous rotating universe containing naked
closed time-like curves (CTCs). It was shown that such CTCs are the consequence
of the null energy condition in General Relativity. In this paper, we show that
the G\"odel-type metrics with chronology protection can emerge in
Einstein-Horndeski gravity. We construct such exact solutions also in
Einstein-Horndeski-Maxwell and Einstein-Horndeski-Proca theories.Comment: Latex, 11 pages, references adde
Exposure of the Hidden Anti-Ferromagnetism in Paramagnetic CdSe:Mn Nanocrystals
We present theoretical and experimental investigations of the magnetism of
paramagnetic semiconductor CdSe:Mn nanocrystals and propose an efficient
approach to the exposure and analysis of the underlying anti-ferromagnetic
interactions between magnetic ions therein. A key advance made here is the
build-up of an analysis method with the exploitation of group theory technique
that allows us to distinguish the anti-ferromagnetic interactions between
aggregative Mn2+ ions from the overall pronounced paramagnetism of magnetic ion
doped semiconductor nanocrystals. By using the method, we clearly reveal and
identify the signatures of anti-ferromagnetism from the measured temperature
dependent magnetisms, and furthermore determine the average number of Mn2+ ions
and the fraction of aggregative ones in the measured CdSe:Mn nanocrystals.Comment: 26 pages, 5 figure
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