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Coherent states on the Grassmannian $U(4)/U(2)^2$: Oscillator realization and bilayer fractional quantum Hall systemsDec 11 2013Feb 04 2014Bilayer quantum Hall (BLQH) systems, which underlie a $U(4)$ symmetry, display unique quantum coherence effects. We study coherent states (CS) on the complex Grassmannian $\mathbb G_2^4=U(4)/U(2)^2$, orthonormal basis, $U(4)$ generators and their matrix ... More

Some properties of Grassmannian $U(4)/U(2)^2$ coherent states and an entropic conjectureJun 04 2015Nov 23 2015We analyze mathematical and physical properties of a previously introduced [J. Phys. A47, 115302 (2014)] family of $U(4)$ coherent states (CS). They constitute a matrix version of standard spin $U(2)$ CS when we add an extra (pseudospin) dichotomous degree ... More

Extended MacMahon-Schwinger's Master Theorem and Conformal Wavelets in Complex Minkowski SpaceFeb 18 2010Nov 30 2010We construct the Continuous Wavelet Transform (CWT) on the homogeneous space (Cartan domain) D_4=SO(4,2)/(SO(4)\times SO(2)) of the conformal group SO(4,2) (locally isomorphic to SU(2,2)) in 1+3 dimensions. The manifold D_4 can be mapped one-to-one onto ... More

On the oscillator realization of conformal U(2,2) quantum particles and their particle-hole coherent statesMay 26 2014We revise the unireps. of $U(2,2)$ describing conformal particles with continuous mass spectrum from a many-body perspective, which shows massive conformal particles as compounds of two correlated massless particles. The statistics of the compound (boson/fermion) ... More

A minimalist approach for speeding up the computation of geodesic distances on triangular meshesOct 18 2018Apr 16 2019The computation of geodesic distances is an important research topic in Geometry Processing and 3D Shape Analysis as it is a basic component of many methods used in these areas. For this reason, different approaches have been proposed to compute geodesic ... More

Dictionary Learning-based Inpainting on Triangular MeshesOct 18 2018The problem of inpainting consists of filling missing or damaged regions in images and videos in such a way that the filling pattern does not produce artifacts that deviate from the original data. In addition to restoring the missing data, the inpainting ... More

High energy protons from PKS 1333-33Nov 24 1998In this letter we give an account of the possible acceleration of protons in the outer radio lobes of the active galaxy PKS 1333-33. We also make estimates of the arrival energy spectrum.

An Iterative Parallel Algorithm for Computing Geodesic Distances on Triangular MeshesOct 18 2018The computation of geodesic distances is an important research topic in Geometry Processing and 3D Shape Analysis as it is a basic component of many methods used in these areas. For this reason, different approaches have been proposed to compute geodesic ... More

Design and Experimental Validation of a Software-Defined Radio Access Network Testbed with Slicing SupportMay 14 2019Network slicing is a fundamental feature of 5G systems to partition a single network into a number of segregated logical networks, each optimized for a particular type of service, or dedicated to a particular customer or application. The realization of ... More

Axiomatic Foundations of Nonrelativistic Quantum Mechanics: A Realistic ApproachOct 19 1995A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the formal aspect has ... More

Coherent States of Accelerated Relativistic Quantum Particles, Vacuum Radiation and the Spontaneous Breakdown of the Conformal SU(2,2) SymmetryDec 21 2010Aug 10 2011We give a quantum mechanical description of accelerated relativistic particles in the framework of Coherent States (CS) of the (3+1)-dimensional conformal group SU(2,2), with the role of accelerations played by special conformal transformations and with ... More

Particles within extended-spin space: Lagrangian connectionDec 16 2015A spin-space extension is reviewed, which provides information on the standard model. Its defining feature is a common matrix space that describes symmetries and representations, and leads to limits on these, for given dimension. The model provides additional ... More

Representation of quantum field theory in an extended spin space and fermion mass hierarchyAug 18 2014We consider a matrix space based on the spin degree of freedom, describing both a Hilbert state space, and its corresponding symmetry operators. Under the requirement that the Lorentz symmetry be kept, at given dimension, scalar symmetries, and their ... More

Hilbert space and ground state structure of bilayer quantum Hall systems at $ν=2/λ$Mar 15 2017Jun 14 2017We analyze the Hilbert space and ground state structure of bilayer quantum Hall (BLQH) systems at fractional filling factors $\nu=2/\lambda$ ($\lambda$ odd) and we also study the large $SU(4)$ isospin-$\lambda$ limit. The model Hamiltonian is an adaptation ... More

Axiomatic foundations of quantum mechanics revisited: the case for systemsOct 19 1995We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in ... More

Steps towards an axiomatic pregeometry of space-timeOct 11 1997We present a deductive theory of space-time which is realistic, objective, and relational. It is realistic because it assumes the existence of physical things endowed with concrete properties. It is objective because it can be formulated without any reference ... More

An analysis of a regular black hole interior modelNov 02 2011Oct 07 2013We analyze the thermodynamical properties of the regular static and spherically symmetric black hole interior model presented by Mboyne and Kazanas. Equations for the thermodynamical quantities valid for an arbitrary density profile are deduced, and from ... More

Optimisation of out-vessel magnetic diagnostics for plasma boundary reconstruction in tokamaksJan 31 2013To improve the low frequency spectrum of magnetic field measurements of future tokamak reactors such as ITER, several steady state magnetic sensor technologies have been considered. For all the studied technologies it is always advantageous to place the ... More

An X-ray study of the SNR G344.7-0.1 and the central object CXOU J170357.8-414302Jul 29 2010Aims. We report results of an X-ray study of the supernova remnant (SNR) G344.7-0.1 and the point-like X-ray source located at the geometrical center of the SNR radio structure. Methods. The morphology and spectral properties of the remnant and the central ... More

Dirac equation in non-Riemannian geometriesOct 05 2012Oct 15 2012We present the Dirac equation in a geometry with torsion and non-metricity balancing generality and simplicity as much as possible. In doing so, we use the vielbein formalism and the Clifford algebra. We also use an index-free formalism which allows us ... More

On spacelike surfaces in 4-dimensional Lorentz-Minkowski spacetime through a lightconeFeb 21 2012On any spacelike surface in a lightcone of four dimensional Lorentz-Minkowski space a distinguished smooth function is considered. It is shown how both extrinsic and intrinsic geometry of such a surface is codified by this function. The existence of a ... More

Observational consequences of an interacting multiverseMay 28 2017The observability of the multiverse is at the very root of its physical significance as a scientific proposal. In this conference we present, within the third quantization formalism, an interacting scheme between the wave functions of different universes ... More

Generalized Jacobi structuresJul 02 1997Jacobi brackets (a generalization of standard Poisson brackets in which Leibniz's rule is replaced by a weaker condition) are extended to brackets involving an arbitrary (even) number of functions. This new structure includes, as a particular case, the ... More

On the bicrossproduct structures for the ${\cal U}_λ(iso_{ω_2... ω_N}(N))$ family of algebrasApr 17 1998It is shown that the family of deformed algebras ${\cal U}_\lambda(iso_{\omega_2... \omega_N}(N))$ has a different bicrossproduct structure for each $\omega_a=0$ in analogy to the undeformed case.

The Levi Problem On Strongly Pseudoconvex $G$-BundlesFeb 27 2008Oct 13 2008Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and $M$ the total space of a principal bundle $G\to M\to X$ so that $M$ is also a strongly pseudoconvex complex manifold. In this work, we show that if $G$ acts by holomorphic transformations ... More

The G-Fredholm Property of the \bar\partial-Neumann ProblemNov 25 2007Dec 03 2007Let $G$ be a unimodular Lie group, $X$ a compact manifold with boundary, and $M$ be the total space of a principal bundle $G\to M\to X$ so that $M$ is also a strongly pseudoconvex complex manifold. In this work, we show that if $G$ acts by holomorphic ... More

Right ideals in non-associative universal enveloping algebras of Lie triple systemsFeb 20 2006We prove that the only proper right ideal of the universal enveloping algebra of a finite-dimensional central simple Lie triple system over a field of characteristic zero is its augmentation ideal.

Riemannian Geometry and the Fundamental Theorem of AlgebraJun 05 2011If a (non-constant) polynomial has no zero, then a certain Riemannian metric is constructed on the two dimensional sphere. Several geometric arguments are then shown to contradict this fact.

On the First eigenvalue of the Laplace operator for Compact Spacelike submanifolds in Lorentz-Minkowski Spacetime $\mathbb{L}^{m}$Dec 04 2018Feb 11 2019By means of a family of counter-examples, it is shown that the Reilly upper bound for the first eigenvalue of the Laplace operator for a compact submanifold in Euclidean space does not work for $n$-dimensional compact spacelike submanifolds of Lorentz-Minkowski ... More

Time reversal symmetry in cosmology and the quantum creation of universesJan 03 2019The classical evolution of the universe can be seen as a parametrised worldline of the minisuperspace, with the time variable $t$ being the parameter that parametrises the worldline. The time reversal symmetry of the classical action implies then that ... More

Dissipationless collapse of a set of N massive particlesOct 30 2003The formation of self-gravitating systems is studied by simulating the collapse of a set of N particles which are generated from several distribution functions. We first establish that the results of such simulations depend on N for small values of N. ... More

Addressing mathematical inconsistency: Cantor and Godel refutedFeb 24 2010This article critically reappraises arguments in support of Cantor's theory of transfinite numbers. The following results are reported: i) Cantor's proofs of nondenumerability are refuted by analyzing the logical inconsistencies in implementation of the ... More

Generalized Fredholm properties for invariant pseudodifferential operatorsJan 24 2011Apr 12 2011We define classes of pseudodifferential operators on $G$-bundles with compact base and give a generalized $L^2$ Fredholm theory for invariant operators in these classes in terms of von Neumann's $G$-dimension. We combine this formalism with a generalized ... More

Quantum cosmology of a conformal multiverseJun 19 2017In this paper it is studied the cosmology of a homogeneous and isotropic spacetime endorsed with a conformally coupled massless scalar field. We find six different solutions of the Friedmann equation that represent six different types of universes, all ... More

Restoration of matter-antimatter symmetry in the multiverseJun 20 2017In the multiverse, the universes can be created in entangled pairs with spacetimes that are both expanding in terms of the time variables experienced by internal observers in their particle physics experiments. The time variables of the two universes ... More

The Triangular Theorem of the Primes: Binary Quadratic Forms and Primitive Pythagorean TriplesFeb 21 2011Feb 22 2011This article reports the occurrence of binary quadratic forms in primitive Pythagorean triangles and their geometric interpretation. In addition to the well-known fact that the hypotenuse, z, of a right triangle, with sides of integral (relatively prime) ... More

Visible and near-infrared observations of asteroid 2012 DA14 during its closest approach of February 15, 2013Mar 03 2013Jun 24 2013Near-Earth asteroid 2012 DA14 made its closest approach on February 15, 2013, when it passed at a distance of 27,700 km from the Earth's surface. It was the first time an asteroid of moderate size was predicted to approach that close to the Earth, becoming ... More

Discovery of Two Supernovae in the Nuclear Regions of the Luminous Infrared Galaxy IC 883Dec 04 2011We report the discovery of two consecutive supernovae (SNe), 2010cu and 2011hi, located at 0.37" (180 pc) and 0.79" (380 pc) projected distance respectively from the centre of the K-band nucleus of the luminous infrared galaxy IC 883. The SNe were discovered ... More

e-MERLIN and VLBI observations of the luminous infrared galaxy IC883: a nuclear starburst and an AGN candidate revealedMay 10 2012The high star formation rates of luminous infrared galaxies (LIRGs) make them ideal places for core-collapse supernova (CCSN) searches. At radio frequencies, free from dust extinction, it is possible to detect compact components within the innermost LIRG ... More

Discovery of a very highly extinguished supernova in a luminous infrared galaxyOct 16 2008Nov 17 2008We report the discovery of a confirmed supernova (SN) and a supernova-candidate in near-infrared images from the ALTAIR/NIRI adaptive optics system on the Gemini-North Telescope and NICMOS on the Hubble Space Telescope. The Gemini images were obtained ... More

The nature of supernovae 2010O and 2010P in Arp 299 - I. Near-infrared and optical evolutionNov 25 2013Apr 30 2014We present near-infrared and optical photometry, plus optical spectroscopy of two stripped-envelope supernovae (SNe) 2010O and 2010P that exploded in two different components of an interacting luminous infrared galaxy Arp 299 within only a few days of ... More

Serendipitous discovery of the long-sought AGN in Arp 299-AAug 26 2010Context: The dusty nuclear regions of luminous infra-red galaxies (LIRGs) are heated by either an intense burst of massive star formation, an active galactic nucleus (AGN), or a combination of both. Disentangling the contribution of each of those putative ... More

The Core-Collapse Supernova Rate in Arp299 RevisitedApr 11 2011We present a study of the CCSN rate in nuclei A and B1 of the luminous infrared galaxy Arp299, based on 11 years of Very Large Array monitoring of their radio emission at 8.4 GHz. Significant variations in the nuclear radio flux density can be used to ... More

Arp 299-A: More than "just" a prolific supernova factoryDec 21 2010We present partial results from our monitoring of the nuclear region of the starburst galaxy IC 694 (=Arp 299-A) at radio wavelengths, aimed at discovering recently exploded CCSNe, as well as to determine their rate of explosion, which carries crucial ... More

Structure of Compact Stars in R-squared Palatini GravityJul 01 2016Dec 22 2016We analyse configurations of compact stars in the so-called R-squared gravity in the Palatini formalism. Using a realistic equation of state we show that the mass-radius configurations are lighter than their counterparts in General Relativity. We also ... More

Symmetry restoration in the nuclear-DFT description of proton-neutron pairingDec 10 2018We show that the symmetry-restored paired mean-field states (quasiparticle vacuua) properly account for isoscalar vs. isovector nuclear pairing properties. Full particle-number, spin, and isospin symmetries are restored in a simple SO(8) proton-neutron ... More

How distant is the ideal filter of being a causal one?Feb 26 2015In this paper the characterization as convolution operators of filters sending finite energy signals to bounded signals is used to prove several theoretical results concerning the distance between the ideal filter and the spaces of physically realizable ... More

Cable equation for general geometryJan 24 2017The cable equation describes the voltage in a straight cylindrical cable, this model has been employed to model electrical potential in dendrites and axons. However, sometimes this equation might give incorrect predictions for some realistic geometries, ... More

Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metricJan 26 2015Jun 22 2015In this work, we propose three different modified relativistic particles. In the first case, we propose a particle with metrics depending on the momenta and we show that the quantum version of these systems includes different field theories, as Lifshitz ... More

The Parametrized Relativistic Particle and the Snyder space-timeFeb 06 2006Using the parametrized relativistic particle we obtain the noncommutative Snyder space-time. In addition, we study the consistency conditions between the boundary conditions and the canonical gauges that give origin to noncommutative theories. Using these ... More

Quadrature rules for $L^1$-weighted norms of orthogonal polynomialsJul 09 2014In this paper we obtain $L^1$-weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; these expressions are usually known as quadrature rules. In particular these ... More

Essential self-adjointness, generalized eigenforms, and spectra for the $\bar\partial$-Neumann problem on $G$-manifoldsJan 10 2011Let $M$ be a strongly pseudoconvex complex manifold which is also the total space of a principal $G$-bundle with $G$ a Lie group and compact orbit space $\bar M/G$. Here we investigate the $\bar\partial$-Neumann Laplacian on $M$. We show that it is essentially ... More

A moment based approach to the dynamical solution of the Kuramoto modelNov 27 1997We examine the dynamics of the Kuramoto model with a new analytical approach. By defining an appropriate set of moments the dynamical equations can be exactly closed. We discuss some applications of the formalism like the existence of an effective Hamiltonian ... More

SDP Duals without Duality Gaps for a Class of Convex Minimax ProgramsJul 19 2013In this paper we introduce a new dual program, which is representable as a semi-definite linear programming problem, for a primal convex minimax programming model problem and show that there is no duality gap between the primal and the dual whenever the ... More

Ermakov approach for the one-dimensional Helmholtz HamiltonianJul 22 1997Jun 26 1999For the one-dimensional Helmholtz equation we write the corresponding time-dependent Helmholtz Hamiltonian in order to study it as an Ermakov problem and derive geometrical angles and phases in this context

Extended matter coupled to BF theorySep 26 2007Recently, a topological field theory of membrane-matter coupled to BF theory in arbitrary spacetime dimensions was proposed [1]. In this paper, we discuss various aspects of the four-dimensional theory. Firstly, we study classical solutions leading to ... More

Plasma internal inductance dynamics in a tokamakSep 10 2010A lumped parameter model for tokamak plasma current and inductance time evolution as function of plasma resistance, non-inductive current drive sources and boundary voltage or poloidal field (PF) coil current drive is presented. The model includes a novel ... More

Boundary conditions as constraintsDec 03 2002Dec 12 2002A new method to compute the symplectic structure of a quantum field theory with non trivial boundary conditions is proposed. Following the suggestion in \cite{ho:gnus, ardalan}, we regard that the boundary conditions are second class constraints in the ... More

The Kepler problem and non commutativityMar 07 2003We investigate the Kepler problem using a symplectic structure consistent with the commutation rules of the noncommutative quantum mechanics. We show that a noncommutative parameter of the order of $10^{-58} \text m^2$ gives observable corrections to ... More

$λ-$Symmetries and integrability by quadraturesMay 25 2016It is investigated how two (standard or generalized) $\lambda-$symmetries of a given second-order ordinary differential equation can be used to solve the equation by quadratures. The method is based on the construction of two commuting generalized symmetries ... More

Sums of powers of Catalan triangle numbersFeb 13 2016In this paper we consider combinatorial numbers $C_{m, k}$ for $m\ge 1$ and $k\ge 0$ which unifies the entries of the Catalan triangles $ B_{n, k}$ and $ A_{n, k}$ for appropriate values of parameters $m$ and $k$, i.e., $B_{n, k}=C_{2n,n-k}$ and $A_{n, ... More

Neutron-proton pairing correlations in a single $l-$shell modelOct 25 2017Dec 05 2017The long standing problem of neutron-proton pairing correlations is revisited by employing the Hartree-Fock-Bogoliubov formalism with neutron-proton mixing in both the particle-hole and particle-hole channels. We compare numerical calculations performed ... More

Computing spectral sequencesFeb 17 2006In this paper, a set of programs enhancing the Kenzo system is presented. Kenzo is a Common Lisp program designed for computing in Algebraic Topology, in particular it allows the user to calculate homology and homotopy groups of complicated spaces. The ... More

Communicating via ignoranceJul 19 2018Jul 23 2018Communication through a sequence of two identical, noisy, depolarising channels is impossible in conventional information theory. Surprisingly, communication becomes possible if the depolarising channels are within a quantum switch, where the order of ... More

Cosmological Constant and Noncommutativity: A Newtonian point of viewOct 29 2003Dec 09 2004We study a Newtonian cosmological model in the context of a noncommutative space. It is shown that the trajectories of a test particle undergo modifications such that it no longer satisfies the cosmological principle. For the case of a positive cosmological ... More

Magnetic collapse of a neutron gas: Can magnetars indeed be formedMar 10 2003Mar 13 2003A relativistic degenerate neutron gas in equilibrium with a background of electrons and protons in a magnetic field exerts its pressure anisotropically, having a smaller value perpendicular than along the magnetic field. For critical fields the magnetic ... More

Magnetic Collapse of a Neutron Gas: No Magnetar FormationNov 30 2000A degenerate neutron gas in equilibrium with a background of electrons and protons in a magnetic field exerts its pressure anisotropically, having a smaller value perpendicular than along the magnetic field. For critical fields the magnetic pressure may ... More

Regularity of the Hardy-Littlewood maximal operator on block decreasing functionsJul 01 2009We study the Hardy-Littlewood maximal operator defined via an unconditional norm, acting on block decreasing functions. We show that the uncentered maximal operator maps block decreasing functions of special bounded variation to functions with integrable ... More

Unveiling the dominant gas heating mechanism in local LIRGs and ULIRGsDec 17 2008We show preliminary results from a sample of Luminous and Ultra-Luminous Infrared Galaxies (LIRGs and ULIRGs, respectively) in the local universe, obtained from observations using the Very Large Array (VLA), the Multi-Element Radio Link Interferometer ... More

Blind component separation for polarized observations of the CMBMar 02 2006Jan 09 2007We present in this paper the PolEMICA (Polarized Expectation-Maximization Independent Component Analysis) algorithm which is an extension to polarization of the SMICA (Spectral Matching Independent Component Analysis) temperature multi-detectors multi-components ... More

Compact spacelike surfaces in four-dimensional Lorentz-Minkowski spacetime with a non-degenerate lightlike normal directionApr 21 2016A spacelike surface in four-dimensional Lorentz-Minkowski spacetime through the lightcone has a meaningful lightlike normal vector field $\eta$. Several sufficient assumptions on such a surface with non-degenerate $\eta$-second fundamental form are established ... More

Newton's Second Law in a Noncommutative SpaceNov 18 2002Nov 25 2002In this work we show that corrections to the Newton's second law appears if we assume that the phase space has a symplectic structure consistent with the rules of commutation of noncommutative quantum mechanis. In the central field case we find that the ... More

The advantages of ignoranceMar 22 2019When we conduct scientific experiments and measure the world around us, we are attempting to fill gaps in our missing knowledge. This absence in knowledge is called ignorance and it too, is worthy of scientific investigation. Ignorance inherent in a system ... More

Noncommutative spaces, the quantum of time and the Lorentz symmetryFeb 14 2007We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are no commutative, with commutation relations similar to the relations of the Snyder and Yang spaces. Furthermore, using a reparametrized ... More

Halo based reconstruction of the cosmic mass density fieldJul 06 2011We present the implementation of a halo based method for the reconstruction of the cosmic mass density field. The method employs the mass density distribution of dark matter haloes and its environments computed from cosmological N-body simulations and ... More

Rings, spirals and manifoldsDec 15 2008Feb 06 2009Two-armed, grand design spirals and inner and outer rings in barred galaxies can be due to orbits guided by the manifolds emanating from the vicinity of the L1 and L2 Lagrangian points, located at the ends of the bar. We first summarise the necessary ... More

Supersymmetric partner chirping of Newtonian free dampingJul 10 1997May 04 1998We connect the classical free damping cases by means of Rosner's construction in supersymmetric quantum mechanics. Starting with the critical damping, one can obtain in the underdamping case a chirping of instantaneous physical frequency \omega ^{2}(t) ... More

The advantages of ignoranceMar 22 2019Apr 18 2019When we conduct scientific experiments and measure the world around us, we are attempting to fill gaps in our missing knowledge. This absence in knowledge---entirely or partly---is called ignorance and it too, is worthy of scientific investigation. Ignorance ... More

A note about the quantum of area in a non-commutative spaceMay 09 2003May 20 2003In this note we show that in a two-dimensional non-commutative space the area operator is quantized, this outcome is compared with the result obtained by Loop Quantum Gravity methods.

Modeling the thermal evolution of enzyme-created bubbles in DNAJun 16 2004Dec 04 2004The formation of bubbles in nucleic acids (NAs) are fundamental in many biological processes such as DNA replication, recombination, telomeres formation, nucleotide excision repair, as well as RNA transcription and splicing. These precesses are carried ... More

The Fractal Dimension of Projected CloudsJan 26 2005Feb 18 2005The interstellar medium seems to have an underlying fractal structure which can be characterized through its fractal dimension. However, interstellar clouds are observed as projected two-dimensional images, and the projection of a tri-dimensional fractal ... More

Friedel Oscillations in Relativistic Nuclear MatterJul 01 1994We calculate the low-momentum N-N effective potential obtained in the OBE approximation, inside a nuclear plasma at finite temperature, as described by the relativistic $ \sigma $-$ \omega $ model. We analyze the screening effects on the attractive part ... More

Line Bundles Over Families of (SUPER) Riemann Surfaces. II: The Graded CaseNov 02 1992A relative Picard theory in the context of graded manifolds is introduced. A Berezinian calculus and a theory of connections over SUSY-curves are systematically developed, and used to prove a Gauss-Bonnet theorem for line bundles in that setting and to ... More

Line Bundles Over Families of (SUPER) Riemann Surfaces. I: The Non-Graded CaseNov 02 1992A first step towards a systematic theory of relative line bundles over SUSY-curves is presented. In this paper we deal with the case of relative line bundles over families of ordinary Riemann surfaces. Generalizations of the Gauss-Bonnet theorem and of ... More

On the Minimum Labelling Spanning bi-Connected Subgraph problemMay 07 2015We introduce the minimum labelling spanning bi-connected subgraph problem (MLSBP) replacing connectivity by bi-connectivity in the well known minimum labelling spanning tree problem (MLSTP). A graph is bi-connected if, for every two vertices, there are, ... More

Path Integral Approach to Residual Gauge FixingSep 07 2004Oct 27 2004In this paper we study the question of residual gauge fixing in the path integral approach for a general class of axial-type gauges including the light-cone gauge. We show that the two cases -- axial-type gauges and the light-cone gauge -- lead to very ... More

On the Probability of the Existence of Fixed-Size Components in Random Geometric GraphsJun 02 2008Jul 23 2008In this work we give precise asymptotic expressions on the probability of the existence of fixed-size components at the threshold of connectivity for random geometric graphs.

NanoSQUIDs: Basics & recent advancesSep 20 2016Superconducting Quantum Interference Devices (SQUIDs) are one of the most popular devices in superconducting electronics. They combine the Josephson effect with the quantization of magnetic flux in superconductors. This gives rise to one of the most beautiful ... More

On the theory of self-adjoint extensions of symmetric operators and its applications to Quantum PhysicsFeb 18 2015This is a series of 5 lectures around the common subject of the construction of self-adjoint extensions of symmetric operators and its applications to Quantum Physics. We will try to offer a brief account of some recent ideas in the theory of self-adjoint ... More

Bergman spaces of natural G-manifoldsMay 23 2012Let G be a unimodular Lie group, X a compact manifold with boundary, and M the total space of a principal bundle G--> M-->X so that M is also a strongly pseudoconvex complex manifold. In this work, we show that if there exists a point p in bM such that ... More

Unitary representations of unimodular Lie groups in Bergman spacesSep 10 2010For an arbitrary unimodular Lie group $G$, we construct strongly continuous unitary representations in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of $G$ in the complexification of its underlying manifold.

Atoms as perfect oscillators?Oct 12 2009By using Supersymmetric Quantum Mechanics and Semiclassical Quantization, one may argue that the low-lying excited states of any quantum system can be modeled by a set of harmonic oscillators. In the present paper, we fit the experimental excitation spectra ... More

Electronic structure of CdTe nanocrystals: A tight-binding studyFeb 09 1999We present a symmetry-based calculation of the electronic structure of a compound semiconductor quantum dot (QD) in the sp^3s* tight-binding model including the spin-orbit interaction. The Hamiltonian matrix is diagonalized exactly for CdTe QD sizes up ... More

Spreading of wave packets for neutrino oscillations in vacuumApr 15 2013Jan 09 2014The effects originated in dispersion with time on spreading of wave packets for the time-integrated two-flavor neutrino oscillation probabilities in vacuum are studied in the context of a field theory treatment. The neutrino flavor states are written ... More

Electric dipole moments from flavoured CP violation in SUSYApr 29 2008Sep 23 2008The so-called supersymmetric flavour and CP problems are deeply related to the origin of flavour and hence to the origin of the SM Yukawa couplings themselves. We show that realistic SU(3) flavour symmetries with spontaneous CP violation reproducing correctly ... More

The beta function of N=1 SYM in Differential RenormalizationFeb 13 2002Feb 27 2002Using differential renormalization, we calculate the complete two-point function of the background gauge superfield in pure N=1 Supersymmetric Yang-Mills theory to two loops. Ultraviolet and (off-shell) infrared divergences are renormalized in position ... More

Sharp threshold for hamiltonicity of random geometric graphsJul 07 2006We show for an arbitrary $\ell_p$ norm that the property that a random geometric graph $\mathcal G(n,r)$ contains a Hamiltonian cycle exhibits a sharp threshold at $r=r(n)=\sqrt{\frac{\log n}{\alpha_p n}}$, where $\alpha_p$ is the area of the unit disk ... More

Preparation to the CMB Planck analysis : contamination due to the polarized galactic emissionJul 19 2010The Planck satellite experiment, which was launched the 14th of may 2009, will give an accurate measurement of the anisotropies of the Cosmic Microwave Background (CMB) in temperature and polarization. This measurement is polluted by the presence of diffuse ... More

Neutrino Masses and GUT BaryogenesisApr 15 2004We reconsider the GUT-baryogenesis mechanism for generating the baryon asymmetry of the Universe. The baryon asymmetry is produced by the out of equilibrium decay of coloured Higgs bosons at the GUT scale, conserving B-L. If neutrinos are Majorana particles, ... More

Fractal dimension of interstellar clouds: opacity and noise effectsOct 20 2006There exists observational evidence that the interstellar medium has a fractal structure in a wide range of spatial scales. The measurement of the fractal dimension (Df) of interstellar clouds is a simple way to characterize this fractal structure, but ... More