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The Neumann eigenvalue problem for the $\infty$-LaplacianMay 14 2014Sep 22 2014The first nontrivial eigenfunction of the Neumann eigenvalue problem for the $p$-Laplacian, suitable normalized, converges as $p$ goes to $\infty$ to a viscosity solution of an eigenvalue problem for the $\infty$-Laplacian. We show among other things ... More

Lectures on Deformation quantization of Poisson manifoldsJul 13 2012Jul 18 2012These notes are based on the course given at the School of Geometry, University Kasdi Merbah (Ouargla) 2012. The aim of the course was the deformation quantization of Poisson Lie groups. In these notes we only review Kontsevich's formality theorem.

Poisson ReductionJun 20 2011Oct 09 2013In this paper we develope a theory of reduction for classical systems with Poisson Lie groups symmetries using the notion of momentum map introduced by Lu. The local description of Poisson manifolds and Poisson Lie groups and the properties of Lu's momentum ... More

Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearitiesApr 08 2019Jul 14 2019We investigate qualitative properties of positive singular solutions of some elliptic systems in bounded and unbounded domains. We deduce symmetry and monotonicity properties via the moving plane procedure. Moreover, in the unbounded case, we study some ... More

Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearityApr 08 2019We investigate qualitative properties of positive singular solutions of some elliptic systems in bounded and unbounded domains. We deduce symmetry and monotonicity properties via the moving plane procedure. Moreover, in the unbounded case, we study some ... More

Majorana transformation for differential equationsApr 19 2002We present a method for reducing the order of ordinary differential equations satisfying a given scaling relation (Majorana scale-invariant equations). We also develop a variant of this method, aimed to reduce the degree of non-linearity of the lower-order ... More

Droplet minimizers for the Gates-Lebowitz-Penrose free energy functionalMay 21 2009We study the structure of the constrained minimizers of the Gates-Lebowitz-Penrose free-energy functional ${\mathcal F}_{\rm GLP}(m)$, non-local functional of a density field $m(x)$, $x\in {\mathcal T}_L$, a $d$-dimensional torus of side length $L$. At ... More

Droplet minimizers for the Cahn Hilliard free energy functionalMay 11 2005We prove theorem characterizing the minimizers in a model for condensation based on the Cahn Hilliard free energy functional. In particular, we exactly determine the critical density for droplet formation.

Displacement convexity and minimal fronts at phase boundariesJun 01 2007Jul 17 2008We show that certain free energy functionals that are not convex with respect to the usual convex structure on their domain of definition, are strictly convex in the sense of displacement convexity under a natural change of variables. We use this to show ... More

Long term spectral variability in the soft gamma ray repeater SGR 1900+14Dec 29 2006Jan 09 2007We present a systematic analysis of all the BeppoSAX data of SGR 1900+14. The observations spanning five years show that the source was brighter than usual on two occasions: ~20 days after the August 1998 giant flare and during the 10^5 sec long X-ray ... More

Five years of SGR 1900+14 observations with BeppoSAXSep 04 2006We present a systematic analysis of all the BeppoSAX data of the soft gamma-ray repeater SGR 1900+14: these observations allowed us to study the long term properties of the source quiescent emission. In the observation carried out before the 1998 giant ... More

Perturbative evaluation of scalar two-point function in the cosmic microwave background power spectrumFeb 14 2014Mar 20 2014Recent work in the literature has found a suppression or, instead, an enhancement of the Cosmic Microwave Background power spectrum in quantum gravity, although the effect is too small to be observed, in both cases. The present paper studies in detail ... More

A concise introduction to trapped surface formation in general relativityMay 04 2017May 10 2017Trapped surface formation in general relativity can be studied through a coupled set of nonlinear equations, where various terms can be neglected, as was proved by a rigorous mathematical analysis of Christodoulou. This paper is devoted to a pedagogical ... More

Singular mean field equations on compact Riemann surfacesOct 23 2012Apr 30 2014For a general class of elliptic PDE's in mean field form on compact Riemann surfaces with exponential nonlinearity, we address the question of the existence of solutions with concentrated nonlinear term, which, in view of the applications, are physically ... More

Affine hyperplane arrangements and Jordan classesJul 27 2018We study the geometry of the stratification induced by an affine hyperplane arrangement $H$ on the quotient of a complex affine space by the action of a group preserving $H$. We give conditions ensuring normality of strata. As an application, we determine ... More

Majorana, Pauling and the quantum theory of the chemical bondJun 26 2013We discuss in detail very little known results obtained by Majorana as early as 1931, regarding the quantum theory of the chemical bond in homopolar molecules, based on the key concept of exchange interaction. After a brief historical overview of the ... More

The longest observation of a low intensity state from a Supergiant Fast X-ray Transient: Suzaku observes IGRJ08408-4503Jul 07 2010We report here on the longest deep X-ray observation of a SFXT outside outburst, with an average luminosity level of 1E33 erg/s (assuming 3 kpc distance). This observation was performed with Suzaku in December 2009 and was targeted on IGRJ08408-4503, ... More

Solutions to the Boltzmann equation in the Boussinesq regimeSep 29 1997We consider a gas in a horizontal slab, in which the top and bottom walls are kept at different temperatures. The system is described by the Boltzmann equation (BE) with Maxwellian boundary conditions specifying the wall temperatures. We study the behavior ... More

Hunting for planets in the HL Tau diskSep 20 2015Recent ALMA images of HL Tau show gaps in the dusty disk that may be caused by planetary bodies. Given the young age of this system, if confirmed, this finding would imply very short timescales for planet formation, probably in a gravitationally unstable ... More

Probing the nature of Z_c states via the eta_c rho decaySep 11 2014Apr 27 2015The nature of the so-called XYZ states is a long-standing problem. It has been suggested that such particles may be described as compact four-quark states or loosely bound meson molecules. In the present work we analyze the Z_c(') -> eta_c rho decay using ... More

Search for νμ {\to} ντ oscillations in appearance mode in the OPERA experimentMay 26 2011Jun 06 2011The OPERA experiment is aiming at the first direct detection of neutrino oscillations in appearance mode through the study of the {\nu}{\mu} {\tp} {\nu}{\tau} channel. The OPERA detector is placed in the CNGS long baseline {\nu}{\mu} beam 730 km away ... More

The $Z_c^{(\prime)} \to η_c ρ$ decay as a discriminant between tetraquarks and meson moleculesAug 28 2015Sep 04 2015Understanding the nature of the exotic XYZ resonances is one of the open problems in hadronic spectroscopy. Despite the experimental efforts, the structure of these particles still lacks of an accepted theoretical framework. We propose to use the $Z_c^{(\prime)} ... More

Best constants in Poincaré inequalities for convex domainsOct 13 2011We prove a Payne-Weinberger type inequality for the $p$-Laplacian Neumann eigenvalues ($p\ge 2$). The inequality provides the sharp upper bound on convex domains, in terms of the diameter alone, of the best constants in Poincar\'e inequality. The key ... More

Mpemba effect and phase transitions in the adiabatic cooling of water before freezingApr 11 2007An accurate experimental investigation on the Mpemba effect (that is, the freezing of initially hot water before cold one) is carried out, showing that in the adiabatic cooling of water a relevant role is played by supercooling as well as by phase transitions ... More

Magnetars: a short review and some sparse considerationsMar 15 2018We currently know about 30 magnetars: seemingly isolated neutron stars whose properties can be (in part) comprehended only acknowledging that they are endowed with magnetic fields of complex morphology and exceptional intensity-at least in some components ... More

Quadrature With Respect to Binomial MeasuresDec 07 2006Mar 19 2008This work is devoted to the study of integration with respect to binomial measures. We develop interpolatory quadrature rules and study their properties. Local error estimates for these rules are derived in a general framework.

Testing for Preferred-Frame Effects in Gravity with Artificial Earth SatellitesNov 29 1993As gravity is a long-range force, one might a priori expect the Universe's global matter distribution to select a preferred rest frame for local gravitational physics. At the post-Newtonian approximation, two parameters suffice to describe the phenomenology ... More

An analytic approach to the Riemann hypothesisFeb 07 2019In this work we consider a new functional equation for the Riemann zeta-function in the critical half-strip. With the help of this equation we prove that finding non-trivial zeros of the Riemann zeta-function outside the critical line would be equivalent ... More

Gravitational waves about curved backgrounds: a consistency analysis in de Sitter spacetimeMay 05 2008Dec 21 2008Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the de Donder ... More

The effect of linear perturbations on the Yamabe problemOct 30 2012In conformal geometry, the Compactness Conjecture asserts that the set of Yamabe metrics on a smooth, compact, aspherical Riemannian manifold (M,g) is compact. Established in the locally conformally flat case by Schoen [43,44] and for n\leq 24 by Khuri-Marques-Schoen ... More

Hydrodynamics of binary fluid phase segregationAug 21 2002Dec 06 2002Starting with the Vlasov-Boltzmann equation for a binary fluid mixture, we derive an equation for the velocity field $\bm{u}$ when the system is segregated into two phases (at low temperatures) with a sharp interface between them. $\bm{u}$ satisfies the ... More

Strengthened Information-theoretic Bounds on the Generalization ErrorMar 09 2019The following problem is considered: given a joint distribution $P_{XY}$ and an event $E$, bound $P_{XY}(E)$ in terms of $P_XP_Y(E)$ (where $P_XP_Y$ is the product of the marginals of $P_{XY}$) and a measure of dependence of $X$ and $Y$. Such bounds have ... More

Fermionic reaction coordinates and their application to an autonomous Maxwell demon in the strong coupling regimeNov 24 2017Mar 23 2018We establish a theoretical method which goes beyond the weak coupling and Markovian approximations while remaining intuitive, using a quantum master equation in a larger Hilbert space. The method is applicable to all impurity Hamiltonians tunnel-coupled ... More

Binary Fluids with Long Range Segregating Interaction I: Derivation of Kinetic and Hydrodynamic EquationsApr 03 2001We study the evolution of a two component fluid consisting of ``blue'' and ``red'' particles which interact via strong short range (hard core) and weak long range pair potentials. At low temperatures the equilibrium state of the system is one in which ... More

Spectral variability in Swift and Chandra observations of the Ultraluminous source NGC 55 ULX1Jan 06 2015NGC 55 ULX1 is a bright Ultraluminous X-ray source located 1.78 Mpc away. We analysed a sample of 20 Swift observations, taken between 2013 April and August, and two Chandra observations taken in 2001 September and 2004 June. We found only marginal hints ... More

The next to leading order effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model at finite temperatureMar 03 1998Apr 10 1998The finite temperature effective potential in the 2+1 dimensional Nambu-Jona-Lasinio model is constructed up to the next to leading order in the large $N$ expansion, where $N$ is the number of flavors in the model. The distinctive feature of the analysis ... More

A scalar invariant and the local geometry of a class of static spacetimesAug 21 2002Oct 23 2003The scalar invariant, I, constructed from the "square" of the first covariant derivative of the curvature tensor is used to probe the local geometry of static spacetimes which are also Einstein spaces. We obtain an explicit form of this invariant, exploiting ... More

Diffusive limit for a Boltzmann-like equation with non-conserved momentumApr 29 2019We consider a kinetic model whose evolution is described by a Boltzmann-like equation for the one-particle phase space distribution $f(x,v,t)$. There are hard-sphere collisions between the particles as well as collisions with randomly fixed scatterers. ... More

Quantum phase excitations in Ginzburg-Landau superconductorsNov 15 2004We give a straightforward generalization of the Ginzburg-Landau theory for superconductors where the scalar phase field is replaced by an antisymmetric Kalb-Ramond field. We predict that at very low temperatures, where quantum phase effects are expected ... More

Modelling Stock-market Investors as Reinforcement Learning Agents [Correction]Sep 20 2016Decision making in uncertain and risky environments is a prominent area of research. Standard economic theories fail to fully explain human behaviour, while a potentially promising alternative may lie in the direction of Reinforcement Learning (RL) theory. ... More

On the mean field equation with variable intensities on pierced domainsMar 30 2019We consider the two-dimensional mean field equation of the equilibrium turbulence with variable intensities and Dirichlet boundary condition on a pierced domain $$\left\{ \begin{array}{ll} -\Delta u=\lambda_1\dfrac{V_1 e^{u}}{ \int_{\Omega_{\boldsymbol\epsilon}} ... More

Analysis of Droplets in Lattice Systems with Long-range Kac PotentialsApr 26 2011We investigate the geometry of typical equilibrium configurations for a lattice gas in a finite macroscopic domain with attractive, long range Kac potentials. We focus on the case when the system is below the critical temperature and has a fixed number ... More

Swift monitoring of IGR J16418-4532Sep 26 2012We report on the Swift observations of the candidate supergiant fast X-ray transient (SFXT) IGR J16418-4532, which has an orbital period of ~3.7 d. Our monitoring, for a total of ~43 ks, spans over three orbits and represents the most intense and complete ... More

Type IIB orientifolds with discrete torsionJan 29 2001Feb 16 2001We consider compact four-dimensional ${\bf Z_N}\times {\bf Z_M}$ type IIB orientifolds, for certain values of $N$ and $M$. We allow the additional feature of discrete torsion and discuss the modification of the consistency conditions arising from tadpole ... More

Cross Sections and Charged Pion Spectra in Proton-Carbon Interactions at 31 GeV/cMay 26 2011As neutrino long baseline experiments enter a new domain of precision, the careful study of systematic errors due to poor knowledge of production cross sections for pions and kaons require more dedicated measurements for precise neutrino flux predictions. ... More

The 100-month Swift catalogue of supergiant fast X-ray transients I. BAT on-board and transient monitor flaresDec 17 2013Jan 07 2014We investigate the characteristics of bright flares for a sample of supergiant fast X-ray transients and their relation to the orbital phase. We have retrieved all Swift/BAT Transient Monitor light curves, and collected all detections in excess of $5\sigma$ ... More

Stability for Rayleigh-Benard convective solutions of the Boltzmann equationDec 19 2008We consider the Boltzmann equation for a gas in a horizontal slab, subject to a gravitational force. The boundary conditions are of diffusive type, specifying the wall temperatures, so that the top temperature is lower than the bottom one (Benard setup). ... More

Swift X-ray and ultraviolet observations of the shortest orbital period double-degenerate system RX J0806.3+1527 (HM Cnc)Nov 27 2013Dec 12 2013The system RX J0806.3+1527 (HM Cnc) is a pulsating X-ray source with 100 per cent modulation on a period of 321.5 s (5.4 min). This period reflects the orbital motion of a close binary consisting of two interacting white dwarfs. Here we present a series ... More

The longest shortest fence and sharp Poincaré-Sobolev inequalitiesNov 29 2010We prove a long standing conjecture concerning the fencing problem in the plane: among planar convex sets of given area, prove that the disc, and only the disc maximizes the length of the shortest area-bisecting curve. Although it may look intuitive, ... More

Discovery of a 6.4 h black hole binary in NGC 4490Sep 24 2013Oct 10 2013We report on the discovery with Chandra of a strong modulation (~90% pulsed fraction) at ~6.4 h from the source CXOU J123030.3+413853 in the star-forming, low-metallicity spiral galaxy NGC 4490, which is interacting with the irregular companion NGC 4485. ... More

Swift observations of the ultraluminous X-ray source XMMU J004243.6+412519 in M31Oct 18 2012Nov 22 2012We report on a multi-wavelength study of the recently discovered X-ray transient XMMU J004243.6+412519 in M31, based on data collected with Swift and the 1.8-m Copernico Telescope at Cima Ekar in Asiago (Italy) between 2012 February and August. Undetected ... More

Observations of the unique X-ray emitting subdwarf stars HD49798 and BD+37 442Jun 28 2013We report on the results we obtained with XMM-Newton observations of HD49798 and BD+37 442, the only two sdO stars for which X-ray emission has been observed so far. HD is a single-lined spectroscopic binary with orbital period of 1.5 days. We could establish ... More

Energy deposition studies for the High-Luminosity Large Hadron Collider inner triplet magnetsApr 02 2015A detailed model of the High Luminosity LHC inner triplet region with new large-aperture Nb3Sn magnets, field maps, corrector packages, and segmented tungsten inner absorbers was built and implemented into the FLUKA and MARS15 codes. In the optimized ... More

The X-ray emission of the high mass X-ray binary IGR J17200-3116Apr 02 2014Apr 18 2014The source IGR J17200-3116 was discovered in the hard X-ray band by INTEGRAL. A periodic X-ray modulation at ~326 s was detected in its Swift light curves by our group (and subsequently confirmed by a Swift campaign). In this paper, we report on the analysis ... More

X-ray emission from the luminous O-type subdwarf HD 49798 and its compact companionApr 05 2013The X-ray source RX J0648.0-4418 is the only confirmed binary system in which a compact object, most likely a massive white dwarf, accretes from a hot subdwarf companion, the bright sdO star HD 49798. The X-ray emission from this system is characterized ... More

The progenitor of a type Ia supernova with a short delay time?Sep 21 2011HD49798/RXJ0648.0-4418 is the only known X-ray binary composed of a hot subdwarf and a massive white dwarf (M=1.28+/-0.05 Msun). This system, with an orbital period of 1.55 days, is the outcome of a common envelope evolution, most likely of a pair of ... More

An ultra-massive fast-spinning white dwarf in a peculiar binary systemMar 04 2010White dwarfs typically have masses in a narrow range centered at about 0.6 solar masses (Msun). Only a few ultra-massive white dwarfs (M>1.2 Msun) are known. Those in binary systems are of particular interest because a small amount of accreted mass could ... More

The discovery of a massive white dwarf in the peculiar binary system HD 49798/RX J0648.0-4418Nov 19 2009An XMM-Mewton observation performed in May 2008 has confirmed that the 13 seconds pulsations in the X-ray binary HD 49798/RX J0648.0-4418 are due to a rapidly rotating white dwarf. From the pulse time delays induced by the 1.55 days orbital motion, and ... More

AX J1910.7+0917: the slowest X-ray pulsarMay 04 2017Pulsations from the high mass X-ray binary AXJ1910.7+0917 were discovered during Chandra observations performed in 2011 (Israel et al. 2016). We report here more details on this discovery and discuss the source nature. The period of the X-ray signal is ... More

The abelian and non-abelian Josephson effect and pseudo-goldstone bosonsOct 16 2005We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-abelian case. We give some examples and apply the formalism to the case of SO(5) superconductivity.

Callen-like method for the classical Heisenberg ferromagnetNov 14 2011A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function's framework in classical statistical physics. We extend the well known quantum Callen method to derive ... More

The observation of light nuclei at ALICE and the X(3872) conundrumAug 03 2015Aug 14 2015The new data reported by ALICE on the production of light nuclei with pT < 10 GeV in Pb-Pb collisions at sqrt(s_NN) = 2.76 TeV are used to compute an order-of-magnitude estimate of the expected production cross sections of light nuclei in proton-proton ... More

XMM-Newton discovery of mHz quasi-periodic oscillations in the high mass X-ray binary IGRJ19140+0951May 20 2016We report on the discovery of mHz quasi-periodic oscillations (QPOs) from the high mass X-ray binary (HMXB) IGRJ19140+0951, during a 40 ks XMM-Newton observation performed in 201 5, which caught the source in its faintest state ever observed. At the start ... More

Field theoretic description of the abelian and non-abelian Josephson effectMay 14 2007We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-abelian case. Our formalism interprets Josephson tunneling as the excitation of pseudo-Goldstone bosons. We demonstrate the formalism ... More

A Personal Point of View about Scientific Discussions on Free WillFeb 15 2012I briefly present a personal view about alleged scientific results on free will.

Fermi at Los Alamos and the early Britain's way to nuclear energyMay 02 2008A novel recovery of some important documents related to the Fermi course on neutron physics, held at Los Alamos in 1945, is announced. Its relevance for the effective launch of a British nuclear programme in the early postwar period, independently of ... More

Four variations on Theoretical Physics by Ettore MajoranaApr 07 2006An account is given of some topical unpublished work by Ettore Majorana, revealing his very deep intuitions and skilfulness in Theoretical Physics. The relevance of the quite unknown results obtained by him is pointed out as well.

An unknown story: Majorana and the Pauli-Weisskopf scalar electrodynamicsOct 31 2007An account is given of an interesting but unknown theory by Majorana regarding scalar quantum electrodynamics, elaborated several years before the known Pauli-Weisskopf theory. Theoretical calculations and their interpretation are given in detail, together ... More

The action of neutrino ponderomotive force on supernova dynamicsFeb 16 1999Sep 02 1999Collective interactions of a beam of neutrinos/antineutrinos traversing a dense magnetized plasma of electrons/positrons, protons and neutrons are studied with particular reference to the case of a Supernova. We find that the ponderomotive force exerted ... More

Complex Parameters in Quantum MechanicsJul 21 1998Nov 04 1998The Schrodinger equation for stationary states in a central potential is studied in an arbitrary number of spatial dimensions, say q. After transformation into an equivalent equation, where the coefficient of the first derivative vanishes, it is shown ... More

Mathematical Structures of Space-TimeJul 01 1995At first we introduce the space-time manifold and we compare some aspects of Riemannian and Lorentzian geometry such as the distance function and the relations between topology and curvature. We then define spinor structures in general relativity, and ... More

Non-Fuchsian Singularities in Quantum MechanicsJan 02 1999Oct 13 1999A modification of the spiked harmonic oscillator is studied in the case for which the perturbation potential contains both an inverse power and a linear term. It is then possible to evaluate trial functions by solving an integral equation due to the occurrence ... More

Non-Local Boundary Conditions in Euclidean Quantum GravityJun 12 1998Dec 16 1998Non-local boundary conditions for Euclidean quantum gravity are proposed, consisting of an integro-differential boundary operator acting on metric perturbations. In this case, the operator P on metric perturbations is of Laplace type, subject to non-local ... More

Euclidean Maxwell Theory in the Presence of BoundariesJun 26 1995This paper describes recent progress in the analysis of relativistic gauge conditions for Euclidean Maxwell theory in the presence of boundaries. The corresponding quantum amplitudes are studied by using Faddeev-Popov formalism and zeta-function regularization, ... More

New Perspectives in Complex General RelativityJun 07 1995In complex general relativity, Lorentzian space-time is replaced by a four-complex-dimensional complex-Riemannian manifold, with holomorphic connection and holomorphic curvature tensor. A multisymplectic analysis shows that the Hamiltonian constraint ... More

Compact Tetraquark Interpretation of the XYZ StatesDec 14 2015The past decade witnessed the observation of several exotic charmonium-like resonances, some of which are manifestly non-qqbar mesons. We review one of the most popular interpretations of such states: the compact tetraquark in the constituent diquark-antidiquark ... More

On the classical and quantum momentum mapMar 19 2012In this thesis we study the classical and quantum momentum maps and the theory of reduction. We focus on the notion of momentum map in Poisson geometry and we discuss the classification of the momentum map in this framework. Furthermore, we describe the ... More

Quantization of Poisson-Hamiltonian systemsFeb 26 2015In this paper we introduce the concept of Hamiltonian system in the canonical and Poisson settings. We will discuss the quantization of the Hamiltonian systems in the Poisson context, using formal deformation quantization and quantum group theories.

Ettore Majorana and his heritage seventy years laterMar 25 2008The physicists working in several areas of research know quite well the name of Ettore Majorana, since it is currently associated to fundamental concepts like {\it Majorana neutrinos} in particle physics and cosmology or {\it Majorana fermions} in condensed ... More

Majorana solution of the Thomas-Fermi equationNov 22 2001We report on an original method, due to Majorana, leading to a semi-analytical series solution of the Thomas-Fermi equation, with appropriate boundary conditions, in terms of only one quadrature. We also deduce a general formula for such a solution which ... More

An introduction to quantum gravityAug 16 2011Quantum gravity was born as that branch of modern theoretical physics that tries to unify its guiding principles, i.e., quantum mechanics and general relativity. Nowadays it is providing new insight into the unification of all fundamental interactions, ... More

A new application of non-canonical maps in quantum mechanicsSep 07 2001Oct 22 2001A proof is given that an invertible and a unitary operator can be used to reproduce the effect of a q-deformed commutator of annihilation and creation operators. In other words, the original annihilation and creation operators are mapped into new operators, ... More

Towards a Spectral Proof of the Mass Gap in QCD?Jul 09 2001Nov 26 2001Yang--Mills theory in four dimensions is studied by using the Coulomb gauge. The Coulomb gauge Hamiltonian involves integration of matrix elements of an operator P built from the Laplacian and from a first-order differential operator. The operator P is ... More

Local Boundary Conditions in Quantum SupergravityAug 12 1996When quantum supergravity is studied on manifolds with boundary, one may consider local boundary conditions which fix on the initial surface the whole primed part of tangential components of gravitino perturbations, and fix on the final surface the whole ... More

Non-Local Properties in Euclidean Quantum GravityAug 28 1995Sep 24 1995In the one-loop approximation for Euclidean quantum gravity, the boundary conditions which are completely invariant under gauge transformations of metric perturbations involve both normal and tangential derivatives of the metric perturbations $h_{00}$ ... More

The Geometry of Complex Space-Times with TorsionAug 14 1995The necessary and sufficient condition for the existence of $\alpha$-surfaces in complex space-time manifolds with nonvanishing torsion is derived. For these manifolds, Lie brackets of vector fields and spinor Ricci identities contain explicitly the effects ... More

Singularity Theory in Classical CosmologyJul 01 1995This paper compares recent approaches appearing in the literature on the singularity problem for space-times with nonvanishing torsion.

A classification result for the quasi-linear Liouville equationSep 12 2016Entire solutions of the $n-$Laplace Liouville equation in $\mathbb{R}^n$ with finite mass are completely classified.

Equilibria of a clamped Euler beam (Elastica) with distributed load: large deformationsOct 25 2016Mar 21 2017We present some novel equilibrium shapes of a clamped Euler beam (Elastica from now on) under uniformly distributed dead load orthogonal to the straight reference configuration. We characterize the properties of the minimizers of total energy, determine ... More

On The Weak-Coupling Limit for Bosons and FermionsMar 16 2005In this paper we consider a large system of Bosons or Fermions. We start with an initial datum which is compatible with the Bose-Einstein, respectively Fermi-Dirac, statistics. We let the system of interacting particles evolve in a weak-coupling regime. ... More

Minimum light transmission in graphene in the presence of a magnetic fieldNov 04 2015We show that, on general theoretical grounds, transmission of light in graphene always presents a non-vanishing minimum value independently of any material and physical condition, the transmission coefficient being higher in the presence of a substrate, ... More

Physical realization of Photonic Klein TunnelingJan 18 2011General physical conditions for the occurrence of photonic Klein tunneling are studied, where (controlled) spontaneous emission from the devices considered plays a key role. The specific example of a simple dielectric slab bounded by two dielectric half ... More

A theory of ferromagnetism by Ettore MajoranaMay 20 2008We present and analyze in detail an unknown theory of ferromagnetism developed by Ettore Majorana as early as the beginnings of 1930s, substantially different in the methods employed from the well-known Heisenberg theory of 1928 (and from later formulations ... More

Un manoscritto inedito in francese di Ettore MajoranaJul 11 2006We report on the retrieval of the last missing papers of the "Senatore folder", given by Majorana to one student of his in Naples in 1938, just before his disappearance. The mentioned manuscript is conserved at the Domus Galilaeana in Pisa (Italy), and ... More

Una lezione particolare di Ettore MajoranaDec 19 2005We give, for the first time, the critical complete text of a manuscript by Ettore Majorana, conserved in the same file of the lecture notes for his course on Theoretical Physics at the University of Naples. He probably refers to a seminar delivered in ... More

The effect of very low energy solar neutrinos on the MSW mechanismNov 07 2003We study some implications on standard matter oscillations of solar neutrinos induced by a background of extremely low energy thermal neutrinos trapped inside the Sun by means of coherent refractive interactions. Possible experimental tests are envisaged ... More

On the role of Spin in Quantum MechanicsFeb 05 1999From the invariance properties of the Schrodinger equation and the isotropy of space we show that a generic (non-relativistic) quantum system is endowed with an ``external'' motion, which can be interpreted as the motion of the centre of mass, and an ... More

Primordial Nucleosynthesis: accurate predictions for light element abundancesApr 29 1999A detailed analysis of primordial nucleosynthesis predictions for light element abundances is performed. Contents: 1. The standard cosmology: an overview. 2. Primordial nucleosynthesis. 3. The Born rates for n<->p reactions. 4. Finite nucleon mass corrections. ... More

Covariant Majorana Formulation of ElectrodynamicsApr 21 1997We construct an explicit covariant Majorana formulation of Maxwell electromagnetism which does not make use of vector 4-potential. This allows to write a ``Dirac'' equation for the photon containing all the known properties of it. In particular, the spin ... More

A spinorial perspective on massless photonsJan 02 2007We exploit the fact that, in Minkowski space-time, gamma matrices are possibly more fundamental than the metric to describe how gauge invariance at perturbative level enforces a Lagrangian for spinor electrodynamics with massless photons. The term quadratic ... More