文档介绍:Mathematical
Feynman Path Integrals
and their Applications
This page intentionally left blank
Mathematical
Feynman Path Integrals
and their Applications
S o n i a M a z z u c c h i
U n i v e r s i t y o f T r e n t o , I t a l y
World Scientific
N E W J E R S E Y • L O N D O N • S I N G A P O R E • B E I J I N G • S H A N G H A I • H O N G K O N G • TA I P E I • C H E N N A I
Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA office: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
MATHEMATICAL FEYNMAN PATH INTEGRALS AND THEIR APPLICATIONS
Copyright © 2009 by World Scientific Publishing Co. Pte. Ltd.
All rights reserved. This book, or parts thereof, may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to
photocopy is not required from the publisher.
ISBN-13 978-981-283-690-8
ISBN-10 981-283-690-X
Printed in Singapore.
LaiFun - Math'l Feynman 1 3/27/2009, 11:44 AM
March 27, 2009 10:32 World Scientific Book - 9in x 6in MathematicalFeynman
Preface
Even if more than 60 years have passed since their first appearance in Feyn-
man’s PhD thesis, Feynman path integrals have not lost their fascination
yet.
They give a suggestive description of quantum evolution, reintroducing
in quantum mechanics the classical concept of trajectory, which had been
banned from the traditional formulation of the theory. In fact, they ca