34,140 research outputs found
Wigner Oscillators, Twisted Hopf Algebras and Second Quantization
By correctly identifying the role of central extension in the centrally
extended Heisenberg algebra h, we show that it is indeed possible to construct
a Hopf algebraic structure on the corresponding enveloping algebra U(h) and
eventually deform it through Drinfeld twist. This Hopf algebraic structure and
its deformed version U^F(h) are shown to be induced from a more fundamental
Hopf algebra obtained from the Schroedinger field/oscillator algebra and its
deformed version, provided that the fields/oscillators are regarded as
odd-elements of the super-algebra osp(1|2n). We also discuss the possible
implications in the context of quantum statistics.Comment: 23 page
Brownian motion meets Riemann curvature
The general covariance of the diffusion equation is exploited in order to
explore the curvature effects appearing on brownian motion over a d-dimensional
curved manifold. We use the local frame defined by the so called Riemann normal
coordinates to derive a general formula for the mean-square geodesic distance
(MSD) at the short-time regime. This formula is written in terms of
invariants that depend on the Riemann curvature tensor. We study the
n-dimensional sphere case to validate these results. We also show that the
diffusion for positive constant curvature is slower than the diffusion in a
plane space, while the diffusion for negative constant curvature turns out to
be faster. Finally the two-dimensional case is emphasized, as it is relevant
for the single particle diffusion on biomembranes.Comment: 16 pages and 3 figure
Higher particle form factors of branch point twist fields in integrable quantum field theories
In this paper we compute higher particle form factors of branch point twist
fields. These fields were first described in the context of massive
1+1-dimensional integrable quantum field theories and their correlation
functions are related to the bi-partite entanglement entropy. We find analytic
expressions for some form factors and check those expressions for consistency,
mainly by evaluating the conformal dimension of the corresponding twist field
in the underlying conformal field theory. We find that solutions to the form
factor equations are not unique so that various techniques need to be used to
identify those corresponding to the branch point twist field we are interested
in. The models for which we carry out our study are characterized by staircase
patterns of various physical quantities as functions of the energy scale. As
the latter is varied, the beta-function associated to these theories comes
close to vanishing at several points between the deep infrared and deep
ultraviolet regimes. In other words, renormalisation group flows approach the
vicinity of various critical points before ultimately reaching the ultraviolet
fixed point. This feature provides an optimal way of checking the consistency
of higher particle form factor solutions, as the changes on the conformal
dimension of the twist field at various energy scales can only be accounted for
by considering higher particle form factor contributions to the expansion of
certain correlation functions.Comment: 25 pages, 4 figures; v2 contains small correction
Coexistence of pressure-induced structural phases in bulk black phosphorus: a combined x-ray diffraction and Raman study up to 18 GPa
We report a study of the structural phase transitions induced by pressure in
bulk black phosphorus by using both synchrotron x-ray diffraction for pressures
up to 12.2 GPa and Raman spectroscopy up to 18.2 GPa. Very recently black
phosphorus attracted large attention because of the unique properties of
fewlayers samples (phosphorene), but some basic questions are still open in the
case of the bulk system. As concerning the presence of a Raman spectrum above
10 GPa, which should not be observed in an elemental simple cubic system, we
propose a new explanation by attributing a key role to the non-hydrostatic
conditions occurring in Raman experiments. Finally, a combined analysis of
Raman and XRD data allowed us to obtain quantitative information on presence
and extent of coexistences between different structural phases from ~5 up to
~15 GPa. This information can have an important role in theoretical studies on
pressure-induced structural and electronic phase transitions in black
phosphorus
Calibração do modelo cropsyst para cana-de-açúcar: estudo preliminar.
O cultivo da cana-de-açúcar possui grande importância no Brasil, e sua produção deve aumentar nos próximos anos. Nesse contexto, a gerência da área agrÃcola demandará ferramentas de suporte à tomada de decisão, uma vez que o setor sucroenergético possui uma demanda por um fluxo de matéria-prima para atender a unidade industrial ao longo da safra, sendo necessário prever o quanto será produzido, e quando ocorrerá essa produção. Os métodos estatÃsticos disponÃveis, atualmente, apresentam limitações quanto à extrapolação de resultados, enquanto os modelos ecofisiológicos permitem simular os efeitos das condições de cultivo na cana-de-açúcar, permitindo estimativas coerentes para a curva de crescimento. Dentre os diversos pacotes computacionais disponÃveis para simular o crescimento da cana-de-açúcar, a plataforma CropSyst teve em 2009, o modelo para cana-de-açúcar implementado. Foi realizado um estudo preliminar da calibração do modelo CropSyst para cultivares de cana do Brasil com objetivo de melhorar o entendimento da ferramenta de calibração. O objetivo da calibração é de estabelecer os parâmetros ligados à acumulação de tempo termal, particionamento de biomassa e utilização de água e radiação pela cultura
Foreword
Granites and Related Rocks: a tribute to Guillermo Corretgé (Geologica Acta 15, 4, Special Issue). Foreword
Impurity induced spin-orbit coupling in graphene
We study the effect of impurities in inducing spin-orbit coupling in
graphene. We show that the sp3 distortion induced by an impurity can lead to a
large increase in the spin-orbit coupling with a value comparable to the one
found in diamond and other zinc-blende semiconductors. The spin-flip scattering
produced by the impurity leads to spin scattering lengths of the order found in
recent experiments. Our results indicate that the spin-orbit coupling can be
controlled via the impurity coverage.Comment: 4 pages, 6 figure
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