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003 - CONTROL NUMBER IDENTIFIER |
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005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310151441.0 |
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101109s2011 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780817647919 |
|
978-0-8176-4791-9 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA312-312.5 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.42 |
Edition number |
23 |
264 #1 - |
-- |
Boston : |
-- |
Birkhäuser Boston, |
-- |
2011. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Klauder, John R. |
Relator term |
author. |
245 12 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
A Modern Approach to Functional Integration |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by John R. Klauder. |
250 ## - EDITION STATEMENT |
Edition statement |
1. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XVI, 282p. 9 illus. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Applied and Numerical Harmonic Analysis |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Preface -- 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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
This 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. Strong emphasis is placed on the coherent state form of the path integral, which typically is only briefly mentioned in the textbook literature. Also of prime importance, a key focus of the book will be on the projection operator method of enforcing quantum constraints. Additionally, several novel proposals are introduced to deal with highly singular quantum field theories. 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. Key topics and features: * A thorough grounding in the Gold Standard of path integrals: the Wiener measure * Formulation of all path integral construction from abstract principles * A review of coherent state fundamentals * A critical comparison of several path integral versions with emphasis on the virtues of the coherent state version * A construction of the Wiener-measure regularized phase space path integral, its emergence as a coherent state path integral, and its superior definition and connection to the classical theory underlying the quantization * A review of classical and quantum constraints and some of their traditional treatments * Introduction of the projection operator method to deal with quantum constraints, its many virtues as compared to traditional methods, and how it can be incorporated into a conventional or coherent state phase space path integral * An extension of the book’s principal discussion into the realm of quantum field theory with a special emphasis on highly singular examples A Modern Approach to Functional Integration offers insight into these 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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Functional analysis. |
|
Topical term or geographic name as entry element |
Differential equations, partial. |
|
Topical term or geographic name as entry element |
Quantum theory. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Measure and Integration. |
|
Topical term or geographic name as entry element |
Quantum Physics. |
|
Topical term or geographic name as entry element |
Functional Analysis. |
|
Topical term or geographic name as entry element |
Theoretical, Mathematical and Computational Physics. |
|
Topical term or geographic name as entry element |
Several Complex Variables and Analytic Spaces. |
|
Topical term or geographic name as entry element |
Applications of Mathematics. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9780817647902 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-8176-4791-9 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |