Equilibrium and stability properties of a coupled two-component Bose-Einstein condensate

The equilibrium and stability properties of a coupled two-component BEC is studied using a variational method and the one-dimensional model of Williams and collaborators. The variational parameters are the population fraction, translation and scaling transformation of the condensate densities, assumed to have a Gaussian shape. We study the equilibrium and stability properties as a function of the strength of the laser field and the traps displacement. We find many branches of equilibrium configurations, with a host of critical points. In all cases, the signature of the onset of criticality is the collapse of a normal mode which is a linear combination of the out of phase translation and an in phase breathing oscillation of the condensate densities. Our calculations also indicate that we have symmetry breaking effects when the traps are not displacedComment: 13 pages,3 figure

Multiple giant resonances in nuclei: their excitation and decay

The excitation of multiphonon giant resonances with heavy ions is discussed. The conventional theory, based on the use of the virtual photon number method in conjunction with the harmonic model is presented and its shortcomings are discussed. The recently developed model that invoke the Brink-Axel mechanism as an important contribution to the cross-section is discussed and compared to the conventional, harmonic model. The decay properties of these multiple giant resonances are also discussed within the same coherent + fluctuation model in conjunction with the hybrid decay model. It is demonstrated that the Brink-Axel mechanism enhances the direct decay of the states, as data seem to require. Comparison of our model with other recent theoretical works is presented.Comment: 12 pages, four figures, two tables. Invited talk at the International Conference on Collective Motion in Nuclei Under Extreme Conditions (COMEX1), Paris, France, 10-13 June 200

Lorentz-violating Chern-Simons action under high temperature in massless QED

Lorentz and CPT violating QED with massless fermions at finite temperature is studied. We show that there is no ambiguity in the induced coefficient of the Chern-Simons-like term that defines the so-called Carroll-Field-Jackiw model at high temperature. We also show that this system constitutes an example where the breaking of CPT and Lorentz symmetries is more severe at high temperature than in the zero temperature case thus precluding any naive expectations of Lorentz symmetry restoration.Comment: 6 pages, 1 figure, final version to appear in Phys. Lett.

On Aharonov-Casher bound states

In this work bound states for the Aharonov-Casher problem are considered. According to Hagen's work on the exact equivalence between spin-1/2 Aharonov-Bohm and Aharonov-Casher effects, is known that the $\boldsymbol{\nabla}\cdot\mathbf{E}$ term cannot be neglected in the Hamiltonian if the spin of particle is considered. This term leads to the existence of a singular potential at the origin. By modeling the problem by boundary conditions at the origin which arises by the self-adjoint extension of the Hamiltonian, we derive for the first time an expression for the bound state energy of the Aharonov-Casher problem. As an application, we consider the Aharonov-Casher plus a two-dimensional harmonic oscillator. We derive the expression for the harmonic oscillator energies and compare it with the expression obtained in the case without singularity. At the end, an approach for determination of the self-adjoint extension parameter is given. In our approach, the parameter is obtained essentially in terms of physics of the problem.Comment: 11 pages, matches published versio

Anatomical aspects of the embryo and initial development of Oenocarpus minor Mart: a palm tree from the Amazon

The anatomy of the embryo and the initial germination phase of O. minor seeds are examined here. Ripe fruits were collected from five individuals, the pulp removed, and the seeds sown in beds with sandy substrate in a greenhouse with 50% shade. Germination follow-up was made by collecting different stages of development. The anatomical study done according to usual techniques of light microscopy. The embryo is capitate and occupies a central position in the basal region of the seed. The embryogenic axis is located in the proximal region in a position that is oblique to the cotyledon axis. The cotyledon is formed by parenchymatous, procambial and protodermic tissue. The vascular bundles lie along the peripheral zone of the distal region to the embryogenicaxis. After 14 days, the primary rootemerges; after 21 days, the first cotyledon sheath and after 35 days, the second cotyledon sheath, and the seedling emerges above the substrate. Germination is of the ligule adjacent type.Neste trabalho foi feita a anatomia do embrião e a fase inicial da germinação da semente de O. minor. Frutos maduros de cinco indivíduos foram despolpados e as sementes obtidas foram semeadas em canteiros contendo substrato areia em casa de vegetação com sombreamento a 50%. O acompanhamento da germinação foi feito através de coletas das diferentes fases do desenvolvimento. O estudo anatômico foi realizado conforme técnicas usuais de microscopia de luz. O embrião é capitado. O eixo embrionário localiza-se na região proximal em posição oblíqua ao eixo cotiledonar. O cotilédone é formado por tecido parenquimático, procambial e protodérmico. Os feixes vasculares ocorrem ao longo da zona periférica da região distal até ao eixo embrionário. Aos 14 dias é emitida a raiz primária. Aos 21 dias forma-se a primeira bainha cotiledonar e aos 35 dias a segunda bainha cotiledonar ocorrendo à emergência da plântula acima do substrato. A germinação é do tipo adjacente ligular