Yang-baxter Systems, Nonlinear Models And Their Applications - Proceedings Of The Apctp-nankai Symposium
Author: B K Chung
Publisher: World Scientific
Published: 1999-12-13
Total Pages: 206
ISBN-13: 9814543241
DOWNLOAD EBOOK →Author: B K Chung
Publisher: World Scientific
Published: 1999-12-13
Total Pages: 206
ISBN-13: 9814543241
DOWNLOAD EBOOK →Author: B. K. Chung
Publisher:
Published: 1999
Total Pages: 206
ISBN-13: 9789814525985
DOWNLOAD EBOOK →Author: B. K. Chung
Publisher: World Scientific Publishing Company Incorporated
Published: 2000
Total Pages: 194
ISBN-13: 9789810241322
DOWNLOAD EBOOK →Author: Panayotis G. Kevrekidis
Publisher: SIAM
Published: 2015-08-04
Total Pages: 429
ISBN-13: 1611973945
DOWNLOAD EBOOK →Bose?Einstein condensation is a phase transition in which a fraction of particles of a boson gas condenses into the same quantum state known as the Bose?Einstein condensate (BEC). The aim of this book is to present a wide array of findings in the realm of BECs and on the nonlinear SchrÓdinger-type models that arise therein.÷The Defocusing Nonlinear SchrÓdinger Equation÷is a broad study of nonlinear÷excitations in self-defocusing nonlinear media. It summarizes state-of-the-art knowledge on the defocusing nonlinear SchrÓdinger-type models in a single volume and contains a wealth of resources, including over 800 references to relevant articles and monographs and a meticulous index for ease of navigation.
Author: V. F. R. Jones
Publisher: World Scientific
Published: 2000
Total Pages: 588
ISBN-13: 9789812792679
DOWNLOAD EBOOK →There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon–Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2, C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.
Author: Jacques H. H. Perk
Publisher: World Scientific
Published: 2002
Total Pages: 338
ISBN-13: 9789812776358
DOWNLOAD EBOOK →This book contains thirty-six short papers on recent progress in a variety of subjects in mathematical and theoretical physics, written for the proceedings of a symposium in honor of the seventieth birthday of Professor F Y Wu, held at the Nankai Institute of Mathematics, October 7OCo11, 2001. The collection of papers is aimed at researchers, including graduate students, with an interdisciplinary interest and gives a brief introduction to many of the topics of current interest. These include new results on exactly solvable models in statistical mechanics, integrable through the YangOCoBaxter equations, quantum groups, fractional statistics, random matrices, index theorems on the lattice, combinatorics, and other related topics."
Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 436
ISBN-13: 1489903194
DOWNLOAD EBOOK →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.