The Feynman Integral and Feynman's Operational Calculus : Oxford Mathematical Monographs - Gerald W. Johnson

The Feynman Integral and Feynman's Operational Calculus

By: Gerald W. Johnson, Michel L. Lapidus

Paperback | 17 January 2002

At a Glance

Paperback


$201.56

or 4 interest-free payments of $50.39 with

 or 

Aims to ship in 7 to 10 business days

The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in quantum theory, the mathematically beautiful but difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the four approaches to the Feynman integral which are given detailed treatment in this book are the following: the existence of the Feynman integral is established for very general potentials in all four cases; under more restrictive but still broad conditions, three of these Feynman integrals agree with one another and with the unitary group from the usual approach to quantum dynamics; these same three Feynman integrals possess pleasant stability properties. Much of the material covered here was previously only in the research literature, and the book also contains some new results. The background material in mathematics and physics that motivates the study of the Feynman integral and Feynman's operational calculus is discussed
and detailed proofs are provided for the central results.
Industry Reviews
`Review from previous edition: Accessible, even for beginners ... this book should serve as a standard reference for anybody interested in the mathematical theory of Feynman path integrals and the related operational calculus.' EMS `Review from previous edition: The last chapter deals with other work related to the book's topics, ranging from alternative approaches to the path integral (so-called Fresnel integrals) to a very readable survey of the influence of Feynman integrals on contempary mathematics and physics. In particular, the authors discuss low dimensional topology and Edward Witten's approach to knot invariants, and they end with a discussion of Maxim Kontsevich's work on deformation quantization. I would recommend this book to serious students of the subject.' Physics Today `The second one [part of the final chapter] is a most welcome presentation of recent extensions and applications of Feynman's approach to a whole range of physical models of major interest ... it is here that the power of Feynman's approach of inspiring both mathematicans and physicists is best evidentiated.' Zentrablatt Mathematik

More in Calculus & Mathematical Analysis

Calculus, Metric Edition : 9th edition - James Michael Stewart

RRP $174.95

$141.75

19%
OFF
Harmonic Practice in Tonal Music : Workbook : 2nd Edition - Robert Gauldin
Calculus : 9th edition - Early Transcendentals, Metric - James Michael Stewart
Calculus : 3rd Edition - Michael Spivak

RRP $91.95

$79.90

13%
OFF
The Maths Book : Big Ideas Simply Explained - DK

RRP $42.99

$32.50

24%
OFF
Essential Calculus : 2nd Edition - James Stewart

RRP $207.95

$165.25

21%
OFF
A Second Course in Statistics : 7th Edition - Regression Analysis - Terry Sincich

RRP $179.95

$138.25

23%
OFF
Thomas' Calculus : 15th Edition - Early Transcendentals, SI Units - Christopher Heil
Schaum's Outline of Calculus : 7th edition - Elliott Mendelson

RRP $31.96

$28.90

10%
OFF
Bifurcation Theory : Graduate Studies in Mathematics - Ale Jan Homburg

RRP $229.00

$206.25

10%
OFF
Rough Collisions - Peter Rudzis

RRP $219.00

$197.25

10%
OFF
The Bigraded Rumin Complex via Differential Forms - Jeffrey S. Case

RRP $219.00

$197.25

10%
OFF