738 research outputs found
Rotational symmetry and degeneracy: a cotangent-perturbed rigid rotator of unperturbed level multiplicity
We predict level degeneracy of the rotational type in diatomic molecules
described by means of a cotangent-hindered rigid rotator. The problem is shown
to be exactly solvable in terms of non-classical Romanovski polynomials. The
energies of such a system are linear combinations of t(t+1) and 1/[t(t+1)+1/4]
terms with the non-negative integer principal quantum number t=n+|/bar{m}|
being the sum of the degree n of the polynomials and the absolute value,
|/bar{m}|, of the square root of the separation constant between the polar and
azimuthal motions. The latter obeys, with respect to t, the same branching
rule, |/bar{m}|=0,1,..., t, as does the magnetic quantum number with respect to
the angular momentum, l, and, in this fashion, the t quantum number presents
itself indistinguishable from l. In effect, the spectrum of the hindered
rotator has the same (2t+1)-fold level multiplicity as the unperturbed one. For
small t values, the wave functions and excitation energies of the perturbed
rotator differ from the ordinary spherical harmonics, and the l(l+1) law,
respectively, while approaching them asymptotically with increasing t. In this
fashion the breaking of the rotational symmetry at the level of the
representation functions is opaqued by the level degeneracy. The model provides
a tool for the description of rotational bands with anomalously large gaps
between the ground state and its first excitation.Comment: 10 pages, 6 figures; Molecular Physics 201
The use of cosmic muons in detecting heterogeneities in large volumes
The muon intensity attenuation method to detect heterogeneities in large
matter volumes is analyzed. Approximate analytical expressions to estimate the
collection time and the signal to noise ratio, are proposed and validated by
Monte Carlo simulations. Important parameters, including point spread function
and coordinate reconstruction uncertainty are also estimated using Monte Carlo
simulations.Comment: 8 pages, 11 figures, submetted to NIM
Exact scaling in the expansion-modification system
This work is devoted to the study of the scaling, and the consequent
power-law behavior, of the correlation function in a mutation-replication model
known as the expansion-modification system. The latter is a biology inspired
random substitution model for the genome evolution, which is defined on a
binary alphabet and depends on a parameter interpreted as a \emph{mutation
probability}. We prove that the time-evolution of this system is such that any
initial measure converges towards a unique stationary one exhibiting decay of
correlations not slower than a power-law. We then prove, for a significant
range of mutation probabilities, that the decay of correlations indeed follows
a power-law with scaling exponent smoothly depending on the mutation
probability. Finally we put forward an argument which allows us to give a
closed expression for the corresponding scaling exponent for all the values of
the mutation probability. Such a scaling exponent turns out to be a piecewise
smooth function of the parameter.Comment: 22 pages, 2 figure
Isotopic liftings of Clifford algebras and applications in elementary particle mass matrices
Isotopic liftings of algebraic structures are investigated in the context of
Clifford algebras, where it is defined a new product involving an arbitrary,
but fixed, element of the Clifford algebra. This element acts as the unit with
respect to the introduced product, and is called isounit. We construct
isotopies in both associative and non-associative arbitrary algebras, and
examples of these constructions are exhibited using Clifford algebras, which
although associative, can generate the octonionic, non-associative, algebra.
The whole formalism is developed in a Clifford algebraic arena, giving also the
necessary pre-requisites to introduce isotopies of the exterior algebra. The
flavor hadronic symmetry of the six u,d,s,c,b,t quarks is shown to be exact,
when the generators of the isotopic Lie algebra su(6) are constructed, and the
unit of the isotopic Clifford algebra is shown to be a function of the six
quark masses. The limits constraining the parameters, that are entries of the
representation of the isounit in the isotopic group SU(6), are based on the
most recent limits imposed on quark masses.Comment: 19 page
Adaptabilidade e estabilidade de genótipos de feijão-caupi em Mato Grosso do Sul.
O objetivo do trabalho foi avaliar a adaptabilidade e a estabilidade da produtividade de grãos de linhagens e cultivares de feijão-caupi para fins de recomendação para o Estado de Mato Grosso do Sul. Foram conduzidos quatro experimentos no período de fevereiro a junho de 2008 e 2009, em três municípios: Aquidauana, Chapadão do Sul e Dourados, localizados no Estado de Mato Grosso do Sul. O delineamento experimental foi o de blocos ao acaso, com 20 tratamentos e quatro repetições, em parcelas de quatro linhas de cinco metros. A adaptabilidade e estabilidade dos genótipos foi analisada pelo método do melhor desempenho. As linhagens MNCO2-675-4-9 e MNCO3-736F-6 apresentaram maior adaptabilidade e estabilidade, sendo as mais indicadas para cultivo em ambientes com maior grau de tecnologia. A linhagem MNCO2-689F-2-8 e a cultivar BRS Gurguéia podem ser recomendadas para os agricultores que utilizam pouca tecnologia no Estado de Mato Grosso do Sul.CONAC 2012. Disponível em: http://www.conac2012.org/resumos/pdf/050a.pdf. Acesso em: 03 jul. 2013
Assessment of hydrocarbon pollution in NW Iberian Peninsula using bioaccumulation and molecular biomarkers in Mytilus galloprovincialis
Society of Environmental Toxicology and Chemistry - SETAC Europe 15th Annual Meeting, Lille, France, May 2005.Polycyclic aromatic hydrocarbons (PAH´s) are ubiquitous contaminants in marine environment as a result of uncontrolled spills, river transport, surface runoff and atmospheric deposition. A significant amount of industrial activity including shipping and oil refining is located along the NW Iberian Peninsula coast. The use of exposure biomarkers holds out promise due to the incipient state of the cost-effective methodologies for diagnosis and monitoring of oil pollution. This work presents the preliminary results concerning the identification of a set of biomarkers for an early warning detection of PAH toxicity. The bivalve Mytillus galloprovincialis was selected due to its ubiquitous distribution along coastline, being used as sentinels in pollution monitoring. This species has also an important value. Four locations in the vicinity of industrial wastewater discharges along the NW Iberian coast were selected and compared with a nearby (reference) site for (i) measurements of PAH body burdens and (ii) levels of enzyme activity: catalase (CAT), superoxide-dismutase (SOD), glutathione peroxidase (GPx), gluthathione S-transferase (GST) and Na+/K+ATPase (ATPase). The results will be discussed on the basis of their potential in providing additional evidence for discriminate between well known polluted and unpolluted sites
Very special relativity as relativity of dark matter: the Elko connection
In the very special relativity (VSR) proposal by Cohen and Glashow, it was
pointed out that invariance under HOM(2) is both necessary and sufficient to
explain the null result of the Michelson-Morely experiment. It is the quantum
field theoretic demand of locality, or the requirement of P, T, CP, or CT
invariance, that makes invariance under the Lorentz group a necessity.
Originally it was conjectured that VSR operates at the Planck scale; we propose
that the natural arena for VSR is at energies similar to the standard model,
but in the dark sector. To this end we provide an ab initio spinor
representation invariant under the SIM(2) avatar of VSR and construct a mass
dimension one fermionic quantum field of spin one half. This field turns out to
be a very close sibling of Elko and it exhibits the same striking property of
intrinsic darkness with respect to the standard model fields. In the new
construct, the tension between Elko and Lorentz symmetries is fully resolved.
We thus entertain the possibility that the symmetries underlying the standard
model matter and gauge fields are those of Lorentz, while the event space
underlying the dark matter and the dark gauge fields supports the algebraic
structure underlying VSR.Comment: 19 pages. Section 5 is new. Published version (modulo a footnote, and
a corrected typo
Plasma membrane H+-ATPase in sorghum roots as affected by potassium deficiency and nitrogen sources.
Apparatus to Measure Optical Scatter of Coatings Versus Annealing Temperature
Light scattered by amorphous thin-film optical coatings limits the
sensitivity of interferometric gravitational-wave detectors. We describe an imaging scatterometer to assess the role that crystal growth during annealing plays in this scatter
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