Quantum and variational monte-carlo interaction potentials for li2 (x1-sigma-g+)

Optimized trial functions are used in quantum Monte Carlo and variational Monte Carlo calculations of the Li₂(X ¹Σ⁺_g) potential curve. The trial functions used are a product of a Slater determinant of molecular orbitals multiplied by correlation functions of electron—nuclear and electron—electron separation. The parameters of the determinant and correlation functions are optimized simultaneously by reducing the deviations of the local energy E_L (E_L  Ψ⁻¹_THΨ_T, where Ψ_T denotes a trial function) over a fixed sample. At the equilibrium separation, the variational Monte Carlo and quantum Monte Carlo methods recover 68% and 98% of the correlation energy, respectively. At other points on the curves, these methods yield similar accuracies.

Dynamic interaction of an elastic container with fluid

The vibration analysis of an elastic container with partially filled fluid was investigated in this paper. The container is made of a thin cylinder and two circular plates at the ends. The axis of the cylinder is in the horizontal direction. It is difficult to solve this problem because the complex system is not axially symmetric. The equations of motion for this system were derived. An incompressible and ideal fluid model is used in the present work. Solutions of the equations were obtained by the generalized variational method. The solution was expressed in a series of normalized generalized Fourier's functions. This series converged rapidly, and so its approximate solution was obtained with high precision. The agreement of the calculated values with the experimental result is good. It should be mentioned that with our method, the computer time is less than that with the finite-element method.

The interaction of two pairs of solitary waves in a two-fluid system

This paper deals with the interaction of solitary waves in a two-fluid system which consistsof two superimposed incompressible inviscid fluids with a free surface and a horizontal rigidbottom. Under the assumption of shallow water wave, we first derive the basic equationssuitable for the model considered, a generalized form of the Boussinesq equations, then usingthe PLK method and the reductive perturbation method, obtain the second-order approximatesolution for the head-on collision between two pairs of interface and surface solitary waves,and give their maximum amplitudes during the collision and the nonuniform phase shiftsafter the collision which lead to the distortion of the wave profiles.

Strategic Interaction and Conventions

The scope of the paper is the literature that employs coordination games to study social norms and conventions from the viewpoint of game theory and cognitive psychology. We claim that those two alternative approaches are complementary, as they provide different insights to explain how people converge to a unique system of self-fulfilling expectations in presence of multiple, equally viable, conventions. While game theory explains the emergence of conventions relying on efficiency and risk considerations, the psychological view is more concerned with frame and labeling effects. The interaction between these alternative (and, sometimes, competing) effects leads to the result that coordination failures may well occur and, even when coordination takes place, there is no guarantee that the convention eventually established will be the most efficient.

Habilidades sociales y contextos de la conducta social

[Es] Las habilidades sociales, o habilidades interpersonales, han sido objeto de creciente interés durante los últimos años en psicología social, clínica y educativa; y, sin embargo, tanto su evaluación como la intervención psicológica para su mejora se topan con una desconcertante proliferación de clasificaciones o categorías divergentes de las mismas. En este trabajo, y como resultado de sucesivos análisis factoriales, se proponen cinco grandes categorías de habilidades sociales (Interacción con personas desconocidas en situaciones de consumo, Interacción con personas que atraen, Interacción con amigos y compañeros, Interacción con familiares, y Hacer y rechazar peticiones a los amigos/as) que responden a distintos contextos de interacción social. Las cinco escalas, correspondientes a tales categorías, de un nuevo instrumento de medida, el Cuestionario de Dificultades Interpersonales (CDI), con alta consistencia interna (·= 0,896), explican el 47,47% de la varianza total. Los análisis correlacionales entre el CDI y el Test de Autoverbalizaciones en la Interacción Social (SISST) de Glass, Merluzzi, Biever y Larsen (1982) revelan diferencias cognitivas significativas entre los sujetos de alta y baja habilidad social, dándose una mayor frecuencia de autoverbalizaciones positivas y una menor frecuencia de autoverbalizaciones negativas en los sujetos de alta habilidad social que en los sujetos de baja habilidad social.

Student Engagement in the School: Interpersonal and Inter-Center Differences

Traducido al castellano e inglés