Are poverty, misery, famine, disease and war inevitably part of the human condition? Will the creations of science become uncontrollable and socially dangerous, like Frankenstein's monster? Or can science and education create a world of material plenty - a war-free world, where the benevolent, creative and intellectual sides of human nature will have a chance to flourish?

Are poverty, misery, famine, disease and war inevitably part of the human condition? Will the creations of science become uncontrollable and socially dangerous, like Frankenstein's monster? Or can science and education create a world of material plenty - a war-free world, where the benevolent, creative and intellectual sides of human nature will have a chance to flourish?

where d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional generalization, in which a sum of hyper spherical harmonics is expressed as a Gegenbauer polynomial (equation (3-27-: The hyper spherical...

Dimensional scaling offers a new approach to quantum dynamical correlations. This is the first book dealing with dimensional scaling methods in the quantum theory of atoms and molecules. Appropriately, it is a multiauthor production, derived chiefly from papers presented at a workshop held in June 1991 at the Orsted Institute in Copenhagen. Although focused on dimensional scaling, the volume includes contributions on other unorthodox methods for treating nonseparable dynamical problems and electronic correlation. In shaping the book, the editors serve three needs: an introductory tutorial for...

n Angular Momentum Theory for Diatomic Molecules, R R method of trees, 3 construct the wave functions of more complicated systems for ex- ple many electron atoms or molecules. However, it was soon realized that unless the continuum is included, a set of hydrogenlike orbitals is not complete. To remedy this defect, Shull and Lowdin 273] - troduced sets of radial functions which could be expressed in terms of Laguerre polynomials multiplied by exponential factors. The sets were constructed in such a way as to be complete, i. e. any radial fu- tion obeying the appropriate boundary conditions...

This book describes the generalized Sturmian method, which offers a fresh approach to the calculation of atomic spectra. Generalized Sturmians are isoenergetic solutions to an approximate many-electron Schrodinger equation with a weighted potential. The weighting factors are chosen in such a way as to make all of the solutions correspond to a given energy. The advantage of such an isoenergetic basis set is that every basis function has the correct asymptotic behavior needed for efficient synthesis of the wave function. The book also discusses methods for automatic generation of...

An interdisciplinary discussion of the phenomenon of life, including its origin and evolution (and also human cultural evolution), against the background of thermodynamics, statistical mechanics, and information theory. It includes a chapter discussing the discipline of bio-information technology.

The. simplest picture of an atom, a molecule or a solid is the picture of its distribution of charge. It is obtained by specifying the positions of the atomic nuclei and by showing how the density, p(E), of the electronic charge-cloud varies from place to place. A much more detailed picture is provided by the many-electron wavefunction. This quantity shows not only the arrangement of the electrons with respect to the nuclei, but also the arrangement of the electrons with respect to each other, and it allows the evaluation of the total energy and other properties. The many-electron...

HE DIDN'T MEAN TO OVERHEAR ... but he did.

HE ONLY HEARD A FEW WORDS ... but he heard too much.

HE RAN ... but he was followed -- a mistake that would turn thirteen-year-old Aaron Quinn's, and his beautiful, courageous, single mother, Ashley's, worlds upside down.

THE CLOCK STARTS TICKING ... when Aaron is stolen from his mother by a psychotic killer and thrust headlong into a dark underworld of armed robbery, prostitution, and death. Will Aaron lose his mind as he's forced to participate in a deadly crime spree and witness first hand the horror of...

An interdisciplinary discussion of the phenomenon of life, including its origin and evolution (and also human cultural evolution), against the background of thermodynamics, statistical mechanics, and information theory. Among the central themes is the seeming contradiction between the second law of thermodynamics and the high degree of order and complexity produced by living systems. This paradox has its resolution in the information content of the Gibbs free energy that enters the biosphere from outside sources, as the author shows. The role of information in human cultural evolution is...