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OverviewThis text takes advantage of recent developments in the theory of path integration to provide an improved treatment of quantization of systems that either have no constraints or instead involve constraints with demonstratively improved procedures. The modern treatment used by the author is an attempt to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration; prerequisites consist mostly of some basic knowledge of quantum mechanics. Full Product DetailsAuthor: John R. KlauderPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Dimensions: Width: 15.50cm , Height: 1.70cm , Length: 23.50cm Weight: 1.320kg ISBN: 9780817647902ISBN 10: 0817647902 Pages: 282 Publication Date: 17 November 2010 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsPreface.- Introduction.- Part I: Stochastic Theory.- Probability.- Infinite-Dimensional Integrals.- Stochastic Variable Theory.- Part II: Quantum Theory.- Background to an Analysis of Quantum Mechanics.- Quantum Mechanical Path Integrals.- Coherent State Path Integrals.- Continuous-Time Regularized Path Integrals.- Classical and Quantum Constraints.- Part III: Quantum Field Theory.- Application to Quantum Field Theory.- A Modern Approach to Nonrenormalizable Models.- References.- Index.ReviewsFrom the reviews: This book is about the formulation and methodology associated with functional integration. ... The present book of Klauder will be quite helpful for theoretical physicists willing to learn the main classical issues and difficulties of functional integration. Mathematicians and, in particular, probabilists should appreciate seeing how some of 'their tools' are used in quantum physics. (Jean-Claude Zambrini, Mathematical Reviews, Issue 2012 c) From the reviews: This book is about the formulation and methodology associated with functional integration. ... The present book of Klauder will be quite helpful for theoretical physicists willing to learn the main classical issues and difficulties of functional integration. Mathematicians and, in particular, probabilists should appreciate seeing how some of 'their tools' are used in quantum physics. (Jean-Claude Zambrini, Mathematical Reviews, Issue 2012 c) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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