Author: Michio Masujima
Publisher: Springer
Keywords: quantization, modern, physics, tracts, stochastic, integral, path, springer
Number of Pages: 282
Published: 2000-01-15
List price: $263.00
ISBN-10: 3540665420
ISBN-13: 9783540665427

The book gives an overview of path integral quantization and stochastic quantization of classical mechanics and field theory. The non-Abelian gauge field, the gravitational field, and the path integral representation of quantum statistical mechanics and stochastic quantization are described.

Authors:Hideki Omori, Yoshiaki Maeda, Japan) Taniguchi Inter
Publisher: American Mathematical Society
Keywords: symplectic, quantization, geometry, contemporary, mathematics, japan, problems, symposia, july
Number of Pages: 285
Published: 1994-08
List price: $60.00
ISBN-10: 0821803026
ISBN-13: 9780821803028

This volume contains the refereed proceedings of two symposia on symplectic geometry and quantization problems which were held in Japan in July 1993. The purpose of the symposia was to discuss recent progress in a range of related topics in symplectic geometry and mathematical physics, including symplectic groupoids, geometric quantization, noncommutative differential geometry, equivariant cohomology, deformation quantization, topological quantum field theory, and knot invariants. The book provides insight into how these different topics relate to one another and offers intri

Author: Nik Weaver
Publisher: Chapman and Hall/CRC
Keywords: quantization, mathematical
Number of Pages: 296
Published: 2001-05-31
List price: $133.95
ISBN-10: 1584880015
ISBN-13: 9781584880011

With a unique approach and presenting an array of new and intriguing topics, Mathematical Quantization offers a survey of operator algebras and related structures from the point of view that these objects are quantizations of classical mathematical structures. This approach makes possible, with minimal mathematical detail, a unified treatment of a variety of topics.Detailed here for the first time, the fundamental idea of mathematical quantization is that sets are replaced by Hilbert spaces. Building on this idea, and most importantly on the fact that scalar-valued functions on a set correspon

Author: John R. Klauder
Publisher: Cambridge University Press
Keywords: quantization, conventional
Number of Pages: 334
Published: 1999-11-28
List price: $150.00
ISBN-10: 0521258847
ISBN-13: 9780521258845

This text describes novel treatments of quantum problems using enhanced quantization procedures, generally involving extended correspondence rules for the association of a classical and a quantum theory. Beginning with a review of classical mechanics, the book goes on to detail Hilbert space, quantum mechanics, and scalar quantum field theory. Later chapters further develop analytical skills, study a special class of models, and present a discussion of continuous and discontinuous perturbations. The final chapter offers a brief summary, concluding with a conjecture regarding interacting covar

Authors:R. Damgaard, H. Huffel,
Publisher: World Scientific Pub Co Inc
Keywords: quantization, stochastic
Number of Pages: 508
Published: 1988-05
List price: $134.00
ISBN-10: 9971502542
ISBN-13: 9789971502546

Author: P. Bandyopadhyay
Publisher: Springer
Keywords: applications, mathematics, quantization, topology, geometry
Number of Pages: 240
Published: 1996-10-31
List price: $190.00
ISBN-10: 0792343050
ISBN-13: 9780792343059

This monograph deals with the geometrical and topological aspects associated with the quantization procedure, and it is shown how these features are manifested in anomaly and Berry Phase. This book is unique in its emphasis on the topological aspects of a fermion which arise as a consequence of the quantization procedure. Also, an overview of quantization procedures is presented, tracing the equivalence of these methods by noting that the gauge field plays a significant role in all these procedures, as it contains the ingredients of topological features. Audience: This book will be of value to

Author: N. M. J. Woodhouse
Publisher: Oxford University Press, USA
Keywords: monographs, mathematical, oxford, quantization, geometric
Number of Pages: 320
Published: 1997-12-04
List price: $135.00
ISBN-10: 0198502702
ISBN-13: 9780198502708

The geometric approach to quantization was introduced by Konstant and Souriau more than 20 years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The successful original edition of this book was published in 1980. Now it has been completely revised and extensively rew