Dynamics in discrete phase spaces and time interval operators

The von Neumann-Liouville time evolution equation is represented in a discrete quantum phase space. The mapped Liouville operator and the corresponding Wigner function are explicitly written for the problem of a magnetic moment interacting with a magnetic field and the precessing solution is found. The propagator is also discussed and a time interval operator, associated to a unitary operator which shifts the energy levels in the Zeeman spectrum, is introduced. This operator is associated to the particular dynamical process and is not the continuous parameter describing the time evolution. The pair of unitary operators which shifts the time and energy is shown to obey the Weyl-Schwinger algebra. (C) 1999 Elsevier B.V. B.V. All rights reserved.

Vertex operators and Jordan fields

The construction of Lie algebras in terms of Jordan algebra generators is discussed. The key to the construction is the triality relation already incorporated into matrix products. A generalisation to Kac-Moody algebras in terms of vertex operators is proposed and may provide a clue for the construction of new representations of Kac-Moody algebras in terms of Jordan fields. © 1988.

Valor nutricional da soja integral tostada e extrusada para poedeiras comerciais

An experiment was conducted to determine the apparent nitrogen-corrected metabolizable energy (AMEn) values and the coefficients' metabolization of the: dry matter, ether extract, calcium and phosphorus availabilities of experimental layer diets containing toasted (TSB) and extruded (ESB) soybeans. The soybean meal (SBM) was substituted at 0, 50, and 100% by TSB and ESB whole soybeans. The whole soybeans utilization in layer diets did not adversely affect calcium and phosphorus availability. The SBM and ESB, in diets with crude protein at 17%, showed the best ether extract coefficients of metabolization. When TSB replaced all SBM in the diets, it was observed the worst value for AMEn.

Desempenho e Digestibilidade in vivo de Cordeiros Alimentados com Dietas Contendo Canola em Grão Integral em Diferentes Formas

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Conservation laws for non-potential operators

A study was developed in order to build a function M invariant in time, by means of Hamiltonian's formulation, taking into account the equation associated to the problem, showing that starting from this function the equation of motion of the system with the contour conditions for non-conservative considered problems can be obtained. The Hamiltonian method is extended for these kind of systems in order to validate for non-potential operators through variational approach.

Generalized ladder operators for shape-invariant potentials

A general form for ladder operators is used to construct a method to solve bound-state Schrödinger equations. The characteristics of supersymmetry and shape invariance of the system are the start point of the approach. To show the elegance and the utility of the method we use it to obtain energy spectra and eigenfunctions for the one-dimensional harmonic oscillator and Morse potentials and for the radial harmonic oscillator and Coulomb potentials.

Hacia un nuevo pacto social: políticas económicas para un desarrollo integral en América Latina

Incluye Bibliografía

Experiencias del programa de desarrollo rural integral silvo-agropecuario de Cajamarca-Perú

Incluye Bibliografía

Envejecimiento en América Latina: sistemas de pensiones y protección social integral

Prólogo de Alicia Bárcena

Protección social inclusiva en América Latina : una mirada integral, un enfoque de derechos

Incluye Bibliografía

Hacia la revalorización integral del campesinado

Postula que la revalorización de las culturas campesinas debe ser un proceso de la voluntad política, solidario, y componente esencial del verdadero desarrollo.

La gestión integral de peticiones clínicas en el ámbito de la salud electrónica

Incluye bibliografía