Is the equivalence principle doomed forever to Dante's Inferno on account of quantum mechanics?

It is commonly assumed that the equivalence principle can coexist without conflict with quantum mechanics. We shall argue here that, contrary to popular belief, this principle does not hold in quantum mechanics. We illustrate this point by computing the second-order correction for the scattering of a massive scalar boson by a weak gravitational field, treated as an external field. The resulting cross-section turns out to be mass-dependent. A way out of this dilemma would be, perhaps, to consider gravitation without the equivalence principle. At first sight, this seems to be a too much drastic attitude toward general relativity. Fortunately, the teleparallel version of general relativity - a description of the gravitational interaction by a force similar to the Lorentz force of electromagnetism and that, of course, dispenses with the equivalence principle - is equivalent to general relativity, thus providing a consistent theory for gravitation in the absence of the aforementioned principle. © World Scientific Publishing Company.

Physical parameters and basis transformations in the two-Higgs-doublet model

A direct connection between physical parameters of general two-Higgs-doublet model (2HDM) potentials after electroweak symmetry breaking (EWSB) and the parameters that define the potentials before EWSB is established. These physical parameters, such as the mass matrix of the neutral Higgs bosons, have well-defined transformation properties under basis transformations transposed to the fields after EWSB. The relations are also explicitly written in a basis covariant form. Violation of these relations may indicate models beyond 2HDMs. In certain cases the whole potential can be defined in terms of the physical parameters. The distinction between basis transformations and reparametrizations is pointed out. Some physical implications are discussed. © 2008 The American Physical Society.

Conflict between the classical equivalence principle and quantum mechanics

As far as external gravitational fields described by Newton's theory are concerned, theory shows that there is an unavoidable conflict between the universality of free fall (Galileo's equivalence principle) and quantum mechanics - a result confirmed by experiment. Is this conflict due perhaps to the use of Newton's gravity, instead of general relativity, in the analysis of the external gravitational field? The response is negative. To show this we compute the low corrections to the cross-section for the scattering of different quantum particles by an external gravitational field, treated as an external field, in the framework of Einstein's linearized gravity. To first order the cross-sections are spin-dependent; if the calculations are pushed to the next order they become dependent upon energy as well. Therefore, the Galileo's equivalence and, consequently, the classical equivalence principle, is violated in both cases. We address these issues here.

Darboux-Bäcklund transformations and rational solutions of the painlevé IV equation

Rational solutions of the Painlevé IV equation are constructed in the setting of pseudo-differential Lax formalism describing AKNS hierarchy subject to the additional non-isospectral Virasoro symmetry constraint. Convenient Wronskian representations for rational solutions are obtained by successive actions of the Darboux-Bäcklund transformations. ©2010 American Institute of Physics.

Szego{double acute} and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations

We study polynomials which satisfy the same recurrence relation as the Szego{double acute} polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal polynomials that follow from these Szego{double acute} polynomials are also considered. With positive values for the reflection coefficients, zeros of the Szego{double acute} polynomials, para-orthogonal polynomials and associated quadrature rules are also studied. Finally, again with positive values for the reflection coefficients, interlacing properties of the Szego{double acute} polynomials and polynomials arising from canonical spectral transformations are obtained. © 2012 American Mathematical Society.

The health insurance market: lessons on the conflict between equivalence and solidarity

Includes bibliography

Sectoral transformations in employment in Latin America

Includes bibliography

O olhar do fotógrafo Luiz Fontana: documentação de ouro preto (1930-1960) - fotografia e arte pública : um estudo de caso

Pós-graduação em Artes - IA

Equivalence scales: a brief review of concept and methods

Includes bibliography

Les unions conjugales en Amérique Latine: transformations dans un contexte d'inégalité sociale et de genre

Incluye Bibliografía

On the Bäcklund and Darboux transformations for the Tzitzéica model

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Patrimônio histórico-cultural: transformações e usos no Centro histórico de Itu-SP

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Relação entre os formalismos de Green-Schwarz e espinores puros para a supercorda

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Variation, synonymie et equivalence terminologique dans les dictionnaires de médecine monolingues et bilingues

L'existence de variantes et de quasi-synonymes terminologiques dans un même domaine est une réalité constatée par plusieurs études en terminologie descriptive. Les termes techniques/scientifiques coexistent avec les variantes populaires, régionales, orthographiques, syntaxiques et autres. En analysant certains dictionnaires terminologiques spécialisés en médecine, nous avons remarqué que les variantes et les quasi-synonymes ne font pas l'objet d'un traitement terminographique et ne participent donc pas de la nomenclature. Il est ainsi difficile à quelqu'un qui ne connaît que l'une de ces unités terminologiques d'entrer dans ces ouvrages et d'avoir accès à l'information désirée. Dans cet article nous faisons une analyse du traitement terminographique donné aux variantes et aux quasi-synonymes terminologiques dans certains dictionnaires de médecine, plus spécifiquement dans certains ouvrages de dermatologie, et présentons une proposition d'organisation du système de renvois qui prend en considération l'existence de plusieurs termes pour désigner un même concept.

Bi-Lipschitz A-equivalence of K-equivalent map-germs

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)