DSpace Coleção:http://www.repositorio.ufc.br/handle/riufc/602019-10-20T08:39:31Z2019-10-20T08:39:31ZFocal decompositions for linear differential equations of the second orderBirbrair, LevSobolevsky, MarinaSobolevskii, Pavelhttp://www.repositorio.ufc.br/handle/riufc/417652019-05-17T18:44:17Z2003-01-01T00:00:00ZTítulo: Focal decompositions for linear differential equations of the second order
Autor(es): Birbrair, Lev; Sobolevsky, Marina; Sobolevskii, Pavel
Abstract: Focal decomposition associated to an ordinary differential equation of the second order is a partition of the set of all two-points boundary value problems according to the number of their solutions. Two equations are called focally equivalent if there exists a homomorphism of the set of two-points problems to itself such that the image of the focal decomposition associated to the first equation is a focal decomposition associated to the second one. In this paper, we present a complete classification for linear second-order equations with respect to this equivalence relation.2003-01-01T00:00:00ZExtended uncertainty from first principlesCosta Filho, Raimundo NogueiraBraga, João Philipe MacedoLira, Jorge Herbert Soares deAndrade Júnior, José Soares dehttp://www.repositorio.ufc.br/handle/riufc/408512019-04-12T16:16:34Z2016-01-01T00:00:00ZTítulo: Extended uncertainty from first principles
Autor(es): Costa Filho, Raimundo Nogueira; Braga, João Philipe Macedo; Lira, Jorge Herbert Soares de; Andrade Júnior, José Soares de
Abstract: A translation operator acting in a space with a diagonal metric is introduced to describe the motion of a particle in a quantum system. We show that the momentum operator and, as a consequence, the uncertainty relation now depend on the metric. It is also shown that, for any metric expanded up to second order, this formalism naturally leads to an extended uncertainty principle (EUP) with a minimum momentum dispersion. The Ehrenfest theorem is modified to include an additional term related to a tidal force arriving from the space curvature introduced by the metric. For one-dimensional systems, we show how to map a harmonic potential to an effective potential in Euclidean space using different metrics.2016-01-01T00:00:00ZIsometric deformation of surfaces in R 3 preserving the mean curvature functionColares, Antonio GervásioKenmotsu, Katsueihttp://www.repositorio.ufc.br/handle/riufc/408452019-04-12T13:40:34Z1989-01-01T00:00:00ZTítulo: Isometric deformation of surfaces in R 3 preserving the mean curvature function
Autor(es): Colares, Antonio Gervásio; Kenmotsu, Katsuei
Abstract: The purpose of this paper is to classify surfaces in Euclidean 3- space with constant Gaussian curvature which admit non-trivial oneparameter families of isometric immersions preserving the mean curvature function. It is shown that the Gaussian curvature must be zero and, if the mean curvature is not constant, then such isometric immersions are some deformations of the cylinder over a logarithmic spiral.1989-01-01T00:00:00ZExistence of nonparametric solutions for a capillary problem in warped productsLira, Jorge Herbert Soares deWanderley, Gabriela Albuquerquehttp://www.repositorio.ufc.br/handle/riufc/408022019-04-11T17:14:49Z2014-01-01T00:00:00ZTítulo: Existence of nonparametric solutions for a capillary problem in warped products
Autor(es): Lira, Jorge Herbert Soares de; Wanderley, Gabriela Albuquerque
Abstract: We prove that there exist solutions for a nonparametric capillary problem in a wide class of Riemannian manifolds endowed with a Killing vector field. In other terms, we prove the existence of Killing graphs with prescribed mean curvature and prescribed contact angle along its boundary. These results may be useful for modeling stationary hypersurfaces under the influence of a nonhomogeneous gravitational field defined over an arbitrary Riemannian manifold.2014-01-01T00:00:00Z