Transcription of GEOMETRY, TOPOLOGY AND PHYSICS - USTC
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GEOMETRY, TOPOLOGY AND PHYSICS - USTC
GRADUATE STUDENT SERIES IN PHYSICSS eries Editor:Professor Douglas F Brewer, MA, DPhilEmeritus Professor of Experimental PHYSICS , University of SussexGEOMETRY, TOPOLOGYAND PHYSICSSECOND EDITIONMIKIO NAKAHARAD epartment of PhysicsKinki University, Osaka, JapanINSTITUTE OF PHYSICS PUBLISHINGB ristol and Philadelphia c IOP Publishing Ltd 2003 All rights reserved. No part of this publication may be reproduced, storedin a retrieval system or transmitted in any form or by any means, electronic,mechanical, photocopying, recording or otherwise, without the prior permissionof the publisher. Multiple copying is permitted in accordance with the termsof licences issued by the Copyright Licensing Agency under the terms of itsagreement with Universities UK (UUK).British Library Cataloguing-in-Publication DataA catalogue record for this book is available from the British 0 7503 0606 8 Library of Congress Cataloging-in-Publication Data are availableCommissioning Editor: Tom SpicerProduction Editor: Simon LaurensonProduction Control: Sarah PlentyCover Design: Victoria Le BillonMarketing: Nicola Newey and Verity CookePublished by Institute of PHYSICS Publishing, wholly owned by The Institute ofPhysics, LondonInstitute of PHYSICS Publishing, Dirac House, Temple Back, Bristol BS1 6BE, UKUS Office: Institute of PHYSICS Publishing, The Public Ledger Building, Suite929, 150 South I
1.1 Analytical mechanics 1.1.1 Newtonian mechanics 1.1.2 Lagrangian formalism 1.1.3 Hamiltonian formalism 1.2 Canonical quantization 1.2.1 Hilbert space, bras and kets 1.2.2 Axioms of canonical quantization 1.2.3 Heisenbergequation,HeisenbergpictureandSchr¨odinger picture 1.2.4 Wavefunction 1.2.5 Harmonic oscillator
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