Functional Integration and Semiclassical Expansions by Dirk Roekaerts (English)

Description: Functional Integration and Semiclassical Expansions by Dirk Roekaerts, E. Tirapegui, Flor Langouche This book is intended as a fairly complete presentation of whatÂ·Â·We call the discretization approach to functional integrals, i.e. path integrals defined as limits of discretized axpressions. In its main parts it is based 0n the original work of the authors. We hope to have provided the readers with a rather complete and up-to-date bibliography, and we apologize to authors whose work has not been cited through ignorance ori our part. Our main concern has been to present a forÂ malism that is practical and which can be adapted to make computations in the numerous areas where path integrals are being increasingly used. For these reasons applications, illustrative examples, and detailed calculations are included. The book is partially based on lectures given by one of us (E.T.) at the Institut de Physique Theorique of the u.c.L. (Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris) for his help in the redaction of chapter 8. We are indebted to many of our colleagues and especially to the members of the Instituut voor Theoretische Fysica, K.U. Leuven for their interest and encouragement. We also thank Professor Claudio Anguita, Dean of the Faculty of Physics and Mathematics of .the University of Chile, for his constant support. Special thanks are due to Christine Detroije and Lutgarde Dubois for their very fine and hard work in typing the manuscri FORMAT Paperback LANGUAGE English CONDITION Brand New Publisher Description This book is intended as a fairly complete presentation of what**We call the discretization approach to functional integrals, i.e. path integrals defined as limits of discretized axpressions. In its main parts it is based 0n the original work of the authors. We hope to have provided the readers with a rather complete and up-to-date bibliography, and we apologize to authors whose work has not been cited through ignorance ori our part. Our main concern has been to present a for- malism that is practical and which can be adapted to make computations in the numerous areas where path integrals are being increasingly used. For these reasons applications, illustrative examples, and detailed calculations are included. The book is partially based on lectures given by one of us (E.T.) at the Institut de Physique Theorique of the u.c.L. (Louvain-la-Neuve). We thank Dr. M.E. Brachet (University of Paris) for his help in the redaction of chapter 8. We are indebted to many of our colleagues and especially to the members of the Instituut voor Theoretische Fysica, K.U. Leuven for their interest and encouragement.We also thank Professor Claudio Anguita, Dean of the Faculty of Physics and Mathematics of .the University of Chile, for his constant support. Special thanks are due to Christine Detroije and Lutgarde Dubois for their very fine and hard work in typing the manuscript. Notes Springer Book Archives Table of Contents I: Functional integrals defined as limits of discretized expressions.- II: Correspondence rules and functional integral representations.- III: Functional integral representations of expectation values. Time-ordered products.- IV: Perturbation expansions.- V: Short time propagators and the relations between them.- VI: Covariant definitions of functional integrals.- VII: Functional integral methods in Fokker-Planck dynamics.- VIII: Product integrals.- IX: The semiclassical expansion in phase space.- X: The semiclassical expansion in configuration space.- XI: Other approaches.- XII: Computation of the propagator on the sphere S3.- References. Promotional Springer Book Archives Long Description This book is intended as a fairly complete presentation of what Details ISBN9048183774 Author Flor Langouche Publisher Springer Year 2010 ISBN-10 9048183774 ISBN-13 9789048183777 Format Paperback Imprint Springer Place of Publication Dordrecht Country of Publication Netherlands Affiliation Institute for Theoretical Physics, Catholic University of Leuven, Belgium Edition 1st Short Title FUNCTIONAL INTEGRATION & SEMIC Language English Media Book Series Number 10 DEWEY 530.1557 Pages 315 Illustrations XII, 315 p. DOI 10.1007/978-94-017-1634-5 Edition Description Softcover reprint of hardcover 1st ed. 1982 Series Mathematics and Its Applications Publication Date 2010-12-25 Alternative 9789027714725 Audience Professional & Vocational We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:96279422;

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