This collection of articles deals with many of the fundamental problems in quantum physics addressing current topics of research in quantum field theory and supersymmetry in particular. It has been written by leading researchers in the field emphasizing the mathematical and conceptual aspects of the physical theories. Speculative topics at the very forefront of research have been included to illustrate the many open possibilities in contemporary theoretical and mathematical physics.

Klappentext

The XII Max Born Symposium has a special character. It was held in honour th of Jan Lopusza nski on the occasion of his 75 birthday. As a rule the Max Born Symposia organized by the Institute of Theoretical Physics at the University of Wroc law were devoted to well-de ned subjects of contemporary interest. This time, however, the organizers decided to make an exception. Lopusza nski's in?uence on and contribution to the development of th- retical physics at Wrocla w University is highly appreciable. His personality and scienti c achievements gave him authority which he used to the best - vantage of the Institute. In fact we still pro t from his knowledge, experience and judgment. Lopusza nski's scienti c activity extended over about half a century. He successfully participated in research on the most important and fascinating issues of theoretical physics. During his scienti c career he met and made friends with many outstanding physicists who shaped theoretical physics to the present form. For this reason, as well as the coincidence of the approaching end of the century, we thought that it would be interesting and instructive to give the symposium a retrospective character. We decided to trust the speakers' judgment and intuition for the choice of subjects for their talks. We just asked them to give the audience the important message based on their knowledge and experience.

Inhalt

Max Born and Molecular Theory.- Max Born and Molecular Theory.- Quantum Physics: Basic Problems.- Trying to Divide the Universe.- Modal Interpretation of Quantum Mechanics and Classical Physical Theories.- On Localisation in Relativistic Quantum Mechanics.- Dynamical Equivalence, Commutation Relations and Noncommutative Geometry.- Quantum Channels of the Einstein-Podolsky-Rosen Kind.- Quantum Physics: Different Approach.- Quantum Dynamics in the Proper Time.- Is It Possible to Construct Exactly Solvable Models?.- Summational Invariants.- Relative Entropy Estimates in Statistical Mechanics and Field Theory.- Partial -Algebras: A Retrospective.- Banach Partial -Algebras and Quantum Models.- Supersymmetry and Quantum Deformations.- New Superparticle Models Outside the HLS Supersymmetry Scheme.- On the Implementation of Supersymmetry.- On Generalized Quantum Statistics.- q-Deformed Minkowski Algebra and Its Space-Time Lattice.- Particles, Fields and Geometry.- The New Inverse Problem of the Newton Law.- Particle in Curved 2d Space-Time.- Are There Two Sterile Neutrinos Cooscillating with ? e and ? ??.- Magnetic Monopoles and Gravity.- Critical Behavior of Classical Spin Models and Local Cohomology.- Bose-Einstein Correlations in High Energy Multiple Particle Production Processes.- Reduction of Couplings in Massive Models of Quantum Field Theory.- Abstracts.- Particle-Hole Asymmetry in the BCS Thermodynamics*.- On Generalizations of the Gravitational Interaction.