Path Integrals From Mev To Mev Tutzing 92 Proceedings Of The Fouth International Conference

The topics discussed in the Tutzing conference are applications of path integrals in quantum chaos, quantum tunneling, Monte Carlo methods, polarons, solid state physics, physical chemistry, and others. The reports by experts in the fields are timely; the results reported are mostly new. This volume reveals how broad the range of path integral applications has become.

The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.

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 continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.

Computer Simulation Studies in Condensed-Matter Physics VII provides a broad overview of recent developments. Presented at the recent workshop, it contains the invited and contributed papers which describe new physical results, simulational techniques and ways of interpreting simulational data. Both classical and quantum systems are discussed.

This proceedings volume, for the symposium in honor of Edward Teller's 100th anniversary, focuses on Teller's scientific legacy. This legacy includes some of the most fundamental insights into the quantum behaviors of molecules, nuclei, surfaces, solid state and spin systems and plasmas. Many of these are ?brand names? from the canon of 20th-century physics and chemistry, such as Gamow?Teller transitions, the Jahn?Teller effect, Goldhaber?Teller resonances, the Lyddane?Sachs?Teller relation, the Brunauer?Emmett?Teller equation of state, and the MR2T2 algorithm. All of these have had a profound and continuing impact on science ? as has Teller's work on level crossing, diamagnetism, and plasma and statistical physics. The legacies of these discoveries are discussed in this volume, as is Teller's role in applied science and education.