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This volume covers the following fields: path integrals, quantum field theory, variational perturbation theory, phase transitions and critical phenomena, topological defects, strings and membranes, gravitation and cosmology.
The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic co...
Quantum Theory: Density, Condensation, and Bonding presents in a unitary manner the main actual theories of matter, mainly the density function theory (DFT) for fermions, the Bose-Einstein condensation (BEC) for bosons, and chemical bonding as a special realization of the first two so-called mixed fermionic-bosonic states. The book covers the moder
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In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.
This book addresses graduate students in the first place and is meant as a modern compendium to the existing texts on black hole astrophysics. The authors present in pedagogically written articles our present knowledge on black holes covering mathematical models including numerical aspects and physics and astronomical observations as well. In addition, in their write-up of a panel discussion the participants of the school address the existence of black holes consenting that it has by now been verified with certainty.
This volume contains the proceedings of the 5th workshop on 'Dynamic Perception' which was held on November 18 - 19, 2004, at the Max Planck Institute for Biological Cybernetics in Tübingen. As in the previ-ous meetings, the conference is characterised by its high degree of in-terdisciplinarity. The presentations cover the fields of computer science, psychology, neuroscience as well as biology. The common denominator of all contributions consists in the observation that the sensory systems of man, animals and robots have to solve similar tasks such as goal-directed behaviour, orientation within a 3D world or object identification, to name just a few.
Reviewing statistical mechanics concepts for analysis of macromolecular structure formation processes, for graduate students and researchers in physics and biology.