180 research outputs found
On the Schr\"odinger Equation for the Supersymmetric FRW Model
We consider a time-dependent Schr\"odinger equation for the
Friedmann-Robertson-Walker (FRW) model. We show that for this purpose it is
possible to include an additional action invariant under reparametrization of
time. The last one does not change the equations of motion for the
minisuperspace model, but changes only the constraint. The same procedure is
applied to the supersymmetric case.Comment: 15 pages. Revtex. Accepted for publication in Phys. Lett.
On Weierstra{\ss} semigroups at one and two points and their corresponding Poincar\'e series
The aim of this paper is to introduce and investigate the Poincar\'e series
associated with the Weierstra{\ss} semigroup of one and two rational points at
a (not necessarily irreducible) non-singular projective algebraic curve defined
over a finite field, as well as to describe their functional equations in the
case of an affine complete intersection.Comment: Beginning of Section 3 and Subsection 3.1 were modifie
Numerical semigroups with large embedding dimension satisfy Wilf's conjecture
We give an affirmative answer to Wilf's conjecture for numerical semigroups
satisfying 2 \nu \geq m, where \nu and m are respectively the embedding
dimension and the multiplicity of a semigroup. The conjecture is also proved
when m \leq 8 and when the semigroup is generated by a generalized arithmetic
sequence.Comment: 13 page
Solutions of Gross-Pitaevskii equations beyond the hydrodynamic approximation: Application to the vortex problem
We develop the multiscale technique to describe excitations of a
Bose-Einstein condensate (BEC) whose characteristic scales are comparable with
the healing length, thus going beyond the conventional hydrodynamical
approximation. As an application of the theory we derive approximate explicit
vortex and other solutions. The dynamical stability of the vortex is discussed
on the basis of the mathematical framework developed here, the result being
that its stability is granted at least up to times of the order of seconds,
which is the condensate lifetime. Our analytical results are confirmed by the
numerical simulations.Comment: To appear in Phys. Rev.
Aportaciones a la flora de Galicia, IX
En este trabajo se mencionan 53 plantas de diverso interés para la flora de Galicia o zonas próximas. Se
incluyen 3 novedades para España (Sesamoides minor (Lange) O. Kuntze x S. purpurascens (L.) G. López, Hedychium
gardnerianum Sheppard ex Ker-Gawler y Oxalis incarnata L.) y otra para Portugal (Bromus hordeaceus
L. subsp. ferronii (Mabille) P.M. Smith), 3 novedades regionales (Oxalis incarnata L., Antirrhinum latifolium
Mill., Sisyrinchium striatum Mill.), 16 novedades provinciales (Ranunculus bulbosus L. subsp. aleae (Willk.)
Rouy & Fouc. var. adscendens (Brot.) Pinto da Silva, Ranunculus peltatus subsp. peltatus var. microcarpus
Meikle, Dianthus laricifolius subsp. merinoi (M. LaĂnz) M. LaĂnz, Spartium junceum L., Sanicula europea
L., Tordylium maximum L., Euphorbia flavicoma DC. subsp. occidentalis M. LaĂnz, Campanula medium L.,
Centaurea melitensis L., Festuca durandoi Clauson in Billot subsp. capillifolia (Pau ex Willk.) Rivas Ponce,
Cebolla & M.B. Crespo var. livida (Hack.) Rivas-Ponce, Cebolla & M.B. Crespo, Phalaris minor Retz, Carex
distans L., Carex umbrosa Hornem. subsp. umbrosa) y otras 40 de interés diverso, bien ecológico, corológico
o taxonómico. También, y a la luz de mås información, eliminamos del catålogo de la flora vascular de Galicia
Iberis contracta subsp. welwitschii (Boiss.) Moreno y Arctium lappa L. Se lectotipifica Euphorbia polygalifolia
subsp. hirta (Lange) M. LaĂnz y Senecio doria var. subintegrum Merino
Solitary waves for linearly coupled nonlinear Schrodinger equations with inhomogeneous coefficients
Motivated by the study of matter waves in Bose-Einstein condensates and
coupled nonlinear optical systems, we study a system of two coupled nonlinear
Schrodinger equations with inhomogeneous parameters, including a linear
coupling. For that system we prove the existence of two different kinds of
homoclinic solutions to the origin describing solitary waves of physical
relevance. We use a Krasnoselskii fixed point theorem together with a suitable
compactness criterion.Comment: 16 page
Study of the lineshape of the chi(c1) (3872) state
A study of the lineshape of the chi(c1) (3872) state is made using a data sample corresponding to an integrated luminosity of 3 fb(-1) collected in pp collisions at center-of-mass energies of 7 and 8 TeV with the LHCb detector. Candidate chi(c1)(3872) and psi(2S) mesons from b-hadron decays are selected in the J/psi pi(+)pi(-) decay mode. Describing the lineshape with a Breit-Wigner function, the mass splitting between the chi(c1 )(3872) and psi(2S) states, Delta m, and the width of the chi(c1 )(3872) state, Gamma(Bw), are determined to be (Delta m=185.598 +/- 0.067 +/- 0.068 Mev,)(Gamma BW=1.39 +/- 0.24 +/- 0.10 Mev,) where the first uncertainty is statistical and the second systematic. Using a Flatte-inspired model, the mode and full width at half maximum of the lineshape are determined to be (mode=3871.69+0.00+0.05 MeV.)(FWHM=0.22-0.04+0.13+0.07+0.11-0.06-0.13 MeV, ) An investigation of the analytic structure of the Flatte amplitude reveals a pole structure, which is compatible with a quasibound D-0(D) over bar*(0) state but a quasivirtual state is still allowed at the level of 2 standard deviations
Measurement of the CKM angle in and decays with
A measurement of -violating observables is performed using the decays
and , where the meson is
reconstructed in one of the self-conjugate three-body final states and (commonly denoted ). The decays are analysed in bins of the -decay phase space, leading
to a measurement that is independent of the modelling of the -decay
amplitude. The observables are interpreted in terms of the CKM angle .
Using a data sample corresponding to an integrated luminosity of
collected in proton-proton collisions at centre-of-mass
energies of , , and with the LHCb experiment,
is measured to be . The hadronic
parameters , , , and ,
which are the ratios and strong-phase differences of the suppressed and
favoured decays, are also reported
- âŠ