IOP Series in Nuclear Spectroscopy and Nuclear Structure
Series Editors
John Wood, Georgia Institute of Technology, USA
Kristiaan Heyde, Ghent University, Belgium
David Jenkins, University of York, UK
About the Series:
The IOP Series in Nuclear Spectroscopy and Nuclear Structure provides up-to-date coverage of theoretical and experimental topics in all areas of modern nuclear spectroscopy and structure. Books in the series range from student primers, graduate textbooks, research monographs and practical guides to meet the needs of students and scientists.
All aspects of nuclear spectroscopy and structure research are included, for example:
Nuclear systematics and data
Ab-initio models
Shell model-based descriptions
Nuclear collective models
Nuclear symmetries and algebraic descriptions
Many-body aspects of nuclear structure
Quantum mechanics for nuclear structure study
Spectroscopy with gamma-rays, charged particles and neutrons following radioactive decay and reactions
Spectroscopy of rare isotopes
Detectors employed for gamma-ray, neutron and charged-particle detection in nuclear spectroscopy and related societal applications.
Quantum Mechanics for Nuclear Structure, Volume 2
An intermediate level view
Kris Heyde
Ghent University, Belgium
John L Wood
School of Physics, Georgia Tech, Atlanta, GA 30332-0430, USA
IOP Publishing, Bristol, UK
© IOP Publishing Ltd 2020
All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior permission of the publisher, or as expressly permitted by law or under terms agreed with the appropriate rights organization. Multiple copying is permitted in accordance with the terms of licences issued by the Copyright Licensing Agency, the Copyright Clearance Centre and other reproduction rights organizations.
Permission to make use of IOP Publishing content other than as set out above may be sought at [email protected].
Kris Heyde and John L Wood have asserted their right to be identified as the authors of this work in accordance with sections 77 and 78 of the Copyright, Designs and Patents Act 1988.
ISBN 978-0-7503-2171-6 (ebook)
ISBN 978-0-7503-2169-3 (print)
ISBN 978-0-7503-2172-3 (myPrint)
ISBN 978-0-7503-2170-9 (mobi)
DOI 10.1088/978-0-7503-2171-6
Version: 20200401
IOP ebooks
British Library Cataloguing-in-Publication Data: A catalogue record for this book is available from the British Library.
Published by IOP Publishing, wholly owned by The Institute of Physics, London
IOP Publishing, Temple Circus, Temple Way, Bristol, BS1 6HG, UK
US Office: IOP Publishing, Inc., 190 North Independence Mall West, Suite 601, Philadelphia, PA 19106, USA
Contents
1 Representation of rotations, angular momentum and spin
1.2 Matrix representations of spin and angular momentum operators
1.4 Matrix representations of rotations in ket space
1.5 Tensor representations for SU(2)
1.6 Tensor representations for SO(3)
1.7 The Schwinger representations for SU(2)
1.8 A spinor function basis for SU(2)
1.9 A spherical harmonic basis for SO(3)
1.10 Spherical harmonics and wave functions
1.11 Spherical harmonics and rotation matrices
1.12 Properties of the rotation matrices
