DOCSLIB.ORG

Relativity in Rotating Frames Fundamental Theories of Physics

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Relativity in Rotating Frames Fundamental Theories of Physics Relativity in Rotating Frames Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A. Editorial Advisory Board: JAMES T. CUSHING, University of Notre Dame, U.S.A. GIANCARLO GHIRARDI, University of Trieste, Italy LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, U.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland ASHER PERES, Israel Institute of Technology, Israel EDUARD PRUGOVECKI, University of Toronto, Canada TONY SUDBURY, University of York, U.K. HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften, Germany Volume 135 Relativity in Rotating Frames Relativistic Physics in Rotating Reference Frames Edited by Guido Rizzi Politecnico di Torino and Istituto Nazionale di Fisica Nucleare, Torino, Italy and Matteo Luca Ruggiero Politecnico di Torino and Istituto Nazionale di Fisica Nucleare, Torino, Italy SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A C.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-90-481-6514-8 ISBN 978-94-017-0528-8 (eBook) DOI 10.1007/978-94-017-0528-8 Printed on acid-free paper All Rights Reserved © 2004 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2004 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Contents Preface xi Contributing Authors xv Introduction xix Acknowledgments xxiii Part I Historical Papers 1 Uniform Rotation of Rigid Bodies and the Theory of Relativity 3 Paul Ehrenfest 2 The existence of the luminiferous ether demonstrated by means of the 5 effect of a relative ether wind in an uniformly rotating interferometer M. Georges Sagnac 1 Principles of the Method 5 2 Optical vortex effect 6 Part II Papers 1 The Sagnac Effect in the Global Positioning System 11 Neil Ashby 1 Introduction 11 2 Local Inertial Frames 12 3 The GPS 13 4 Relativity of Simultaneity 15 5 Time Transfer with the GPS 18 6 GPS Navigation Equations and the ECEF Frame 20 7 Sagnac-like effects due to rotation of the ECEF frame 25 8 Summary 27 v vi Contents 2 Space, Time and Coordinates in a Rotating World 29 Dennis Dieks 1 Introduction 29 2 The rotating frame of reference 31 3 Rods and clocks 32 4 Space and time without rods and clocks 33 5 Accelerating measuring devices 35 6 Space and time in the rotating frame 37 7 Simultaneity, slow clock transport and conventionality 38 8 The rotating Ehrenfest cylinder 40 3 The Hypothesis of Locality and its Limitations 43 Bahram Mashhoon 1 Introduction 43 2 Background 45 3 Length measurement 47 4 Discussion 53 Appendix: Null acceleration 54 4 Sagnac effect: end of the mystery 57 Franco Selleri 1 History: 1913 - 2003 57 2 The Sagnac Correction on the Earth Surface 60 3 Rotating Platforms 63 4 Absolute simultaneity in inertial systems 67 5 The impossible defense of orthodoxy 69 6 New proofs of absolute simultaneity 71 Appendix: A - The Equivalent Transformations 73 Appendix: B - The Inertial Transformations 74 5 Synchronization and desynchronization on rotating platforms 79 Guido Rizzi and Alessio Serafini 1 Introduction 80 2 The many choices of synchronization in a physical reference frame 84 3 Sagnac effect and its universality 89 4 The time-lag as a “theoretical artefact” 89 5 The time-lag as an observable desynchronization 92 6 Exploiting Selleri gauge freedom 97 7 Conclusions 99 Appendix 100 6 Toward a Consistent Theory of Relativistic Rotation 103 Robert D. Klauber 1 Traditional Analysis Conundrums 104 2 Resolution of the Conundrums: Differential Geometry and Non- time-orthogonality 114 3 Experiment and Non-time-orthogonal Analysis 122 Appendix: Deriving Sagnac Result from the Lab Frame 129 Contents vii 7 Elementary Considerations of the Time and Geometry of Rotating 139 Reference Frames Thomas A. Weber 1 Introduction 139 2 Time synchronization on rotating systems 140 3 Time and space coordinates on a rotating disk 142 4 Paradoxes 146 5 Synchronization and the Brillet and Hall experiment 149 6 Conclusion 151 8 Local and Global Anisotropy in the Speed of Light 155 Francesco Sorge 1 Introduction 155 2 Light Speed, Locality and Lorentz-invariance 157 3 The Byl et al. Experiment 158 4 The Byl et al. Experiment Revisited 159 5 Discussion 162 6 Concluding Remarks 164 9 Isotropy of the velocity of light and the Sagnac effect 167 José-Fernando Pascual-Sánchez Angel San Miguel Francisco Vicente 1 Introduction 167 2 The rotating disk and the Sagnac effect 169 3 Measurement of relative speeds in Minkowski space-time 171 4 Equivalent formulation of the problem 172 5 Reduction to the Minkowskian plane 174 6 Concluding remarks 177 10 The relativistic Sagnac effect: two derivations 179 Guido Rizzi Matteo Luca Ruggiero 1 Introduction 179 2 A little historical review of the Sagnac effect 181 3 Direct derivation: Sagnac effect for material and light particles 185 4 The Sagnac effect from an analogy with the Aharonov-Bohm effect 196 5 Conclusions 204 Appendix: Space-Time Splitting and Cattaneo’s Approach 205 11 Inertial forces: the special relativistic assessment 221 Donato Bini and Robert T. Jantzen 1 Introduction 221 2 Inertial forces in classical mechanics 223 3 Inertial forces geometrized 229 4 Application to rotating observers in Minkowski spacetime 233 5 Conclusions 236 Appendix: Adapted spacetime frames 237 12 Eppur, si muove ! 241 viii Contents Lluís Bel 1 Galilean frames of reference 242 2 Uniformly rotating frames of reference 247 3 The Wilson and Wilson experiment 254 4 The Michelson-Morley experiment 258 13 Does anything happen on a rotating disk? 261 Angelo Tartaglia 1 Introduction 261 2 Posing and defining the problem 262 3 Local measurements 263 4 Global measurements 266 5 Conclusion 271 14 Proper co-ordinates of non-inertial observers and rotation 275 Hrvoje Nikoli´c 1 Proper non-inertial co-ordinates 275 2 Application to rotation 279 Appendix 282 15 Space geometry in rotating reference frames: A historical appraisal 285 Øvynd Grøn 1 Introduction 285 2 The discussion of 1910 and 1911 in Physikalische Zeitschrift 286 3 Einstein’s realization that the geometry on the rotating disk is non Euclidean 288 4 Spatial geodesics on the rotating disk 297 5 Relativity of simultaneity and coordinates in rotating frames 298 6 What is the effect of the Lorentz contraction upon a disk that is put into rotation? 301 7 Curved space and discussion of Einstein’s and Eddington’s analysis of the rotating disk 305 8 Uniform contra rigid rotation 306 9 Relativistically rigid motion and rotation 307 10 The theory of elastic media applied to the rotating disk 309 11 The metric in a rotating frame as solution of Einstein’s field equa- tions 314 12 Kinematical solution of Ehrenfest’s paradox 315 13 Energy associated with tangential stress in a rotating disk 316 14 A rotating disk with angular acceleration 318 15 A rolling disk 320 16 The rotating disk and the Thomas precession 323 17 Contracted rotating disk 324 18 Conclusion 326 16 Quantum Physics in Inertial and Gravitational Fields 335 Giorgio Papini 1 Introduction 335 2 Quantum phases 336 3 Inertial fields in particle accelerators 344 Contents ix 4 Maximal acceleration 350 5 Conclusions 355 17 Quantum Mechanics in a Rotating Frame 361 Jeeva Anandan and Jun Suzuki 1 Introduction 361 2 Lorentz and Galilei transformations in Quantum Mechanics 362 3 Non Relativistic Aspects of the Rotating Frame 364 4 Relativistic Aspects of the Rotating Frame 366 5 Conclusion 367 Appendix: Conventions and Notations 368 Jeeva Anandan (1948-2003) 369 18 On rotating spacetimes 371 Fernando de Felice 1 Introduction 371 2 A rotating spacetime 372 3 Basic measurements 373 4 The radial motion 374 5 The time-like geodesic motion 376 6 The behaviour of light 377 7 Conclusions 379 Part III Round Table I Dialogue on the velocity of light in a rotating frame 383 II Dialogue on synchronization and Sagnac effect 396 III Dialogue on the measurement of lengths in a rotating frame 411 IV Dialogue on the Brillet-Hall experiment 432 V Dialogue on quantum effects in rotating systems 438 VI Dialogue on non uniform motions and other details about Klauber’s and Selleri’s challenges 443 Index 449 Preface For today’s physicist, steeped in the Newtonian and post-Newtonian tradi- tions, it takes a real effort of the imagination to realize that, for by far the longest stretch of time, the prevailing scientific efforts to understand the uni- verse (to say nothing of pre- or non-scientific views, past or contemporary) were based on the concept that uniform circular motion is higher, nobler, and more natural than any other form of motion. Michel Blay has well described the situation: Since Antiquity and more precisely since the elaboration of the Aristotelian conceptual outlook, circular motion was conceived as both the prime motion and the natural motion. This motion, for example that of the stars, proceeded from an internal principle and, contrary to violent motion, such as that of a stone that is thrown, did not presuppose the action of some exterior motor in order to continue. In the Aristotelian Cosmos, divided into two worlds, the movement of the stars belonged to the celestial sphere of perfect motions and incorruptible bodies, the motion of a thrown stone belonged to the sublunar sphere (the earth and its surrounding space) of more or less chaotic motions and bodies subject to decay.
Load more

Recommended publications
  • Finslerian Geometries Fundamental Theories of Physics
    Finslerian Geometries Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A. Editorial Advisory Board: LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, u.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland GUNTER LUDWIG, Philipps-Universitiit, Marburg, Germany NATHAN ROSEN, Israel Institute of Technology, Israel ASHER PERES, Israel Institute of Technology, Israel EDUARD PRUGOVECKI, University of Toronto, Canada MENDEL SACHS, State University of New York at Buffalo, U.S.A. ABDUS SALAM, International Centre for Theoretical Physics, Trieste, Italy HANS-JURGEN TREDER, Zentralinstitut fur Astrophysik der Akademie der Wissenschaften, Germany Volume 109 Finslerian Geometries A Meeting of Minds edited by P.L. Antonell i DeJXlrlmem of Mathematical Sciences, University ofAlberta, EdmonlOn. Alberta, Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A C .I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-94-010-5838-4 ISBN 978-94-011-4235-9 (eBook) DOI 10.1007/978-94-011-4235-9 Printed an arid1ree paper AH Rights Reserved © 2000 Springer Science+Business Media Dordrecht Originally published by K!uwer Academic Publishers in 2000 Soticovcr repri Il! of the hardcover l s( cd ition in 20()(} No part of the material protected by this copyright natice may be reproduced Of utilized in any farm Of by any means, electronic or mechanical, induding pholocopying, recording or by any informat ion slorage and relrieval system, withoUI wrinen permissian from the copyright owner.
    [Show full text]
  • Can Croatia Join Europe As Competitive Knowledge-Based Society by 2010?
    Editorial Can Croatia Join Europe as Competitive Knowledge-based Society by 2010? Mladen Petrovečki1, Vladimir Paar2, Dragan Primorac1 1Ministry of Science, The 21st century has brought important changes in the paradigms of eco- Education and Sports of the nomic development, one of them being a shift toward recognizing knowl- Republic of Croatia, Zagreb, Croatia edge and information as the most important factors of today. The European 2Croatian Academy of Union (EU) has been working hard to become the most competitive knowl- Sciences and Arts, edge-based society in the world, and Croatia, an EU candidate country, has Zagreb, Croatia been faced with a similar task. To establish itself as one of the best knowl- edge-based country in the Eastern European region over the next four years, Croatia realized it has to create an education and science system correspon- dent with European standards and sensitive to labor market needs. For that purpose, the Croatian Ministry of Science, Education, and Sports (MSES) has created and started implementing a complex strategy, consisting of the following key components: the reform of education system in accordance with the Bologna Declaration; stimulation of scientific production by sup- porting national and international research projects; reversing the “brain drain” into “brain gain” and strengthening the links between science and technology; and informatization of the whole education and science sys- tem. In this comprehensive report, we describe the implementation of these > Correspondence to: measures, whose coordination with the EU goals presents a challenge, as well as an opportunity for Croatia to become a knowledge-based society Mladen Petrovečki Assistant Minister for Science by 2010.
    [Show full text]
  • Introduction to Soliton Theory: Applications to Mechanics Fundamental Theories of Physics
    Introduction to Soliton Theory: Applications to Mechanics Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A. Editorial Advisory Board: GIANCARLO GHIRARDI, University of Trieste, Italy LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, U.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland ASHER PERES, Israel Institute of Technology, Israel EDUARD PRUGOVECKI, University of Toronto, Canada FRANCO SELLERI, Università di Bara, Italy TONY SUDBURY, University of York, U.K. HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften, Germany Volume 143 Introduction to Soliton Theory: Applications to Mechanics by Ligia Munteanu Institute of Solid Mechanics, Romanian Academy, Bucharest, Romania and Stefania Donescu Technical University of Civil Engineering, Department of Mathematics, Bucharest, Romania KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: 1-4020-2577-7 Print ISBN: 1-4020-2576-9 ©2005 Springer Science + Business Media, Inc. Print ©2004 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Springer's eBookstore at: http://ebooks.kluweronline.com and the Springer Global Website Online at: http://www.springeronline.com Contents Preface ix Part 1. INTRODUCTION TO SOLITON THEORY 1. MATHEMATICAL METHODS 1 1.1 Scope of the chapter 1 1.2 Scattering theory 1 1.3 Inverse scattering theory 12 1.4 Cnoidal method 17 1.5 Hirota method 25 1.6 Linear equivalence method (LEM) 31 1.7 Bäcklund transformation 39 1.8 Painlevé analysis 46 2.
    [Show full text]
  • Introduction to Soliton Theory: Applications to Mechanics Fundamental Theories of Physics
    Introduction to Soliton Theory: Applications to Mechanics Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A. Editorial Advisory Board: GIANCARLO GHIRARDI, University of Trieste, Italy LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, U.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland ASHER PERES, Israel Institute of Technology, Israel EDUARD PRUGOVECKI, University of Toronto, Canada FRANCO SELLERI, Università di Bara, Italy TONY SUDBURY, University of York, U.K. HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften, Germany Volume 143 Introduction to Soliton Theory: Applications to Mechanics by Ligia Munteanu Institute of Solid Mechanics, Romanian Academy, Bucharest, Romania and Stefania Donescu Technical University of Civil Engineering, Department of Mathematics, Bucharest, Romania KLUWER ACADEMIC PUBLISHERS NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW eBook ISBN: 1-4020-2577-7 Print ISBN: 1-4020-2576-9 ©2005 Springer Science + Business Media, Inc. Print ©2004 Kluwer Academic Publishers Dordrecht All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Springer's eBookstore at: http://ebooks.kluweronline.com and the Springer Global Website Online at: http://www.springeronline.com Contents Preface ix Part 1. INTRODUCTION TO SOLITON THEORY 1. MATHEMATICAL METHODS 1 1.1 Scope of the chapter 1 1.2 Scattering theory 1 1.3 Inverse scattering theory 12 1.4 Cnoidal method 17 1.5 Hirota method 25 1.6 Linear equivalence method (LEM) 31 1.7 Bäcklund transformation 39 1.8 Painlevé analysis 46 2.
    [Show full text]
  • Notices of the American Mathematical Society
    OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ................ 578 Program for the june Meeting in Corvallis, Oregon 579 Abstracts for the Meeting: Pages 611-617 PRELIMINARY ANNOUNCEMENTS OF MEETINGS 583 NEWS ITEMS AND ANNOUNCEMENTS . 582, 589 MATHEMATICAL OFFPRINT SERVICE 590 LETTERS TO THE EDITOR . 592 SPECIAL MEETINGS INFORMATION CENTER 595 MEMORANDA TO MEMBERS . 600 Policy on Recruitment PERSONAL ITEMS 601 NEW AMS PUBLICATIONS .. 605 ABSTRACTS OF CONTRIBUTED PAPERS 608 ERRATA TO ABSTRACTS ........• 617 ABSTRACTS PRESENTED TO THE SOCIETY 618 INDEX TO ADVERTISERS. 687 RESERVATION FORM •.. 688 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the cJ{oticti) was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned. Meet· Deadline ing Date Place for No. Abstracts• 687 August 30-September 3, 1171 University Park, Pennsylvania July 7, I 'n I (76th Summer Meeting) 688 October 30, 1971 Cambridge, Massachusetts Sept. 9, 1971 689 November 19-20, I971 Auburn, Alabama Oct. 4, 1971 690 November 27, 1971 Milwaukee, Wisconsin Oct. 4, 1971 691 January 17-21, 1972 Las Vegas, Nevada Nov. 4, 1971 (78th Annual Meeting) March 29-April 1, 1972 St. Louis, Missouri August 28-September 1, 1972 Hanover, New Hampshire (77th Summer Meeting) January 25-29, 1973 Dallas, Texas (79:h Annual Meeting) August 20-24, 1973 Missoula, Montana (78th Summer Meeting) January 13-19, 1974 San Francisco, California (80th Annual Meeting) January 23-27, 1975 Washington, D.C.
    [Show full text]
  • Relativistic Elementary Particles 47 1
    Kinematical Theory of Spinning Particles Fundamental Theories of Physics An International Book Series on The Fundamental Theories of Physics: Their Clarification, Development and Application Editor: ALWYN VAN DER MERWE, University of Denver, U.S.A. Editorial Advisory Board: JAMES T. CUSHING, University of Notre Dame, U.S.A. GIANCARLO GHIRARDI, University of Trieste, Italy LAWRENCE P. HORWITZ, Tel-Aviv University, Israel BRIAN D. JOSEPHSON, University of Cambridge, U.K. CLIVE KILMISTER, University of London, U.K. PEKKA J. LAHTI, University of Turku, Finland ASHER PERES, Israel Institute of Technology, Israel EDUARD PRUGOVECKI, University of Toronto, Canada TONY SUDBURY, University of York, U.K. HANS-JÜRGEN TREDER, Zentralinstitut für Astrophysik der Akademie der Wissenschaften, Germany Volume 116 Kinematical Theory of Spinning Particles Classical and Quantum Mechanical Formalism of Elementary Particles by Martin Rivas The University of the Basque Country, Bilbao, Spain KLUWER ACADEMIC PUBLISHERS NEW YORK,BOSTON, DORDRECHT,LONDON, MOSCOW eBook ISBN 0-306-47133-7 Print ISBN 0-792-36824-X ©2002 Kluwer Academic Publishers New York, Boston, Dordrecht, London, Moscow All rights reserved No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher Created in the United States of America Visit Kluwer Online at: http://www.kluweronline.com and Kluwer's eBookstore at: http://www.ebooks.kluweronline.com To Merche This page intentionally left blank. Contents List of Figures xi Acknowledgment xvii Introduction xix 1. GENERAL FORMALISM 1 1. Introduction 1 1 . 1 Kinematics and dynamics 3 2 . Variational versus Newtonian formalism 4 3.
    [Show full text]
  • Assistantships and Fellowships in the Mathematical Sciences in 1982-1983 Supplementary List
    il16 and 17)-Page 257 ta~Aellnformation- Page 27 5 ematical Society < 2. c 3 II> J~ cz 3 i"... w Calendar of AMS Meetings THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions.
    [Show full text]
  • A Selected Bibliography of Publications By, and About, Paul Adrien Maurice Dirac
    A Selected Bibliography of Publications by, and about, Paul Adrien Maurice Dirac Nelson H. F. Beebe University of Utah Department of Mathematics, 110 LCB 155 S 1400 E RM 233 Salt Lake City, UT 84112-0090 USA Tel: +1 801 581 5254 FAX: +1 801 581 4148 E-mail: [email protected], [email protected], [email protected] (Internet) WWW URL: http://www.math.utah.edu/~beebe/ 08 June 2021 Version 1.195 Title word cross-reference (1 + 1) [Das93]. (2 + 1) [JM99]. −1=2 [CT67a]. −1=2; 1=2; 3=2; 5=2 [Mac98]. − 1 1 2 ; 2 [CT67b]. 1 [CG07]. 1 + 1 [Fei02]. 1=2 [CT67a, FA01, Ogu96, dB51, dB52a]. 2:7◦ [Noe73]. $250.00 [War96]. $26.00 [Ryc17]. $29.95 [RS10, Dys10]. 3 [RRS06]. 3 + 1 [Nak00]. 3 + 2 [Dir63b]. 3=2 [CT67a]. $44.50 [Dre90]. $49.50 [Sch85]. $7.50 [Suc67]. 6 [DN96]. α [BM98, LT04]. α, β; γ; δ [Som36]. c [IC04, MBS02, Mag15]. D [DSP03]. δ ˇ 2 3 [DES89, IP56, IP57, Lut07, Sch72]. e [IC04, MBS02]. e [CP68]. [GGS04]. 2 + [CT67b]. G [AWW 81, Dir75f, Dir78b, Dir80g, Dir82f]. GF [FA10]. m+2 s 3 Gr2(C ) [Mil98].RH (R ) [EV97].h ¯ [IC04]. mp=me [BBSF10, FK07]. F ∞ p −η p(η)=1=Γ(p +1) 0 [ =(1 + e )]d [GFG01]. SU (2) [yRSBSV99]. H2 [SBK+08]. N [Ata89, KY01, MHN98, MB90, Mor85, Won90]. ∇2n=n [MHN98]. ∇n=n [MHN98]. π [JT10]. q [CPV10, JT10]. R [Szm98, Szm99]. Rn [Bet83]. rt [BBR85]. s>1 [EV97]. SL(2; C) [Hos82, Hos83]. SO(4) [LH86].
    [Show full text]
  • July 2012 Contents
    International Association of Mathematical Physics News Bulletin July 2012 Contents International Association of Mathematical Physics News Bulletin, July 2012 Contents Mathematical Physics at Princeton in the 1970s 3 Celebration of Elliott Lieb’s 80th birthday in Berlin 9 On ground-state phases of quantum spin systems 12 News from the IAMP Executive Committee 18 Bulletin editor Valentin A. Zagrebnov Editorial board Evans Harrell, Masao Hirokawa, David Krejˇciˇr´ık, Jan Philip Solovej Contacts http://www.iamp.org and e-mail: [email protected] Cover photo: Princeton University. Holder Hall, Court and Tower. The views expressed in this IAMP News Bulletin are those of the authors and do not necessarily represent those of the IAMP Executive Committee, Editor or Editorial board. Any complete or partial publication or reproduction made without the consent of the author or of his successors in title or assigns shall be unlawful. All reproduction rights are henceforth reserved, and mention of the IAMP News Bulletin is obligatory in the reference. (Art.L.122-4 of the Code of Intellectual Property). ISSN 2304-7348 News Bulletin (International Association of Mathematical Physics) 2 IAMP News Bulletin, July 2012 Mathematical Physics at Princeton in the 1970s Mathematical Physics at Princeton in the 1970s by Barry Simon (Pasadena, USA) Barry Simon got his PhD. in Physics under Arthur Wightman in 1970, was on the Princeton Faculty for 12 years and, since 1981, has been at Caltech where he is currently IBM Professor of Mathematics and Theoretical Physics and Executive Officer (aka Chair) of Mathematics. He is the author of 384 research articles and 16 scientific monographs including the Reed-Simon series.
    [Show full text]
  • April 2013 2) Treasurer Report
    International Association of Mathematical Physics ΜUΦ Invitation Dear IAMP Members, according to Part I of the By-Laws we announce a meeting of the IAMP General Assembly. It will convene on Monday August 3 in the Meridian Hall of the Clarion NewsCongress Hotel in Prague opening Bulletin at 8pm. The agenda: 1) President report April 2013 2) Treasurer report 3) The ICMP 2012 a) Presentation of the bids b) Discussion and informal vote 4) General discussion It is important for our Association that you attend and take active part in the meeting. We are looking forward to seeing you there. With best wishes, Pavel Exner, President Jan Philip Solovej, Secretary Contents International Association of Mathematical Physics News Bulletin, April 2013 Contents Nine Lessons of my Teacher, Arthur Strong Wightman3 Quantum ergodicity and beyond. With a gallery of pictures. 10 Algebraic tools for evolutionary biology 29 Obituary: G´erardGustav Emch 44 News from the IAMP Executive Committee 46 Bulletin Editor Editorial Board Valentin A. Zagrebnov Rafael Benguria, Evans Harrell, Masao Hirokawa, Manfred Salmhofer, Robert Sims Contacts. http://www.iamp.org and e-mail: [email protected] Cover picture: Circle billiards; see the article of Anantharaman and B¨acker in this issue The views expressed in this IAMP News Bulletin are those of the authors and do not necessarily represent those of the IAMP Executive Committee, Editor or Editorial Board. Any complete or partial performance or reproduction made without the consent of the author or of his successors in title or assigns shall be unlawful. All reproduction rights are henceforth reserved, and mention of the IAMP News Bulletin is obligatory in the reference.
    [Show full text]
  • January 2013 2) Treasurer Report
    International Association of Mathematical Physics ΜUΦ Invitation Dear IAMP Members, according to Part I of the By-Laws we announce a meeting of the IAMP General Assembly. It will convene on Monday August 3 in the Meridian Hall of the Clarion NewsCongress Hotel in Prague opening Bulletin at 8pm. The agenda: 1) President reportJanuary 2013 2) Treasurer report 3) The ICMP 2012 a) Presentation of the bids b) Discussion and informal vote 4) General discussion It is important for our Association that you attend and take active part in the meeting. We are looking forward to seeing you there. With best wishes, Pavel Exner, President Jan Philip Solovej, Secretary Happy New Year 2013 Contents International Association of Mathematical Physics News Bulletin, January 2013 Contents About the Code of Practice of the European Mathematical Society3 The Kardar-Parisi-Zhang Equation and Universality Class6 Some Simple Questions From Nonequilibrium Physics 17 The Myth of Academic Excellence and Scientific Curiosity 26 Obituary: Nicolae Angelescu 32 Obituary: Arthur S. Wightman 34 News from the IAMP Executive Committee 37 Bulletin Editor Editorial Board Valentin A. Zagrebnov Rafael Benguria, Evans Harrell, Masao Hirokawa, Manfred Salmhofer, Robert Sims Contacts. http://www.iamp.org and e-mail: [email protected] Cover photo: Heidelberg: view of the castle and the old bridge. The views expressed in this IAMP News Bulletin are those of the authors and do not necessarily represent those of the IAMP Executive Committee, Editor or Editorial Board. Any complete or partial performance or reproduction made without the consent of the author or of his successors in title or assigns shall be unlawful.
    [Show full text]
  • Can Croatia Join Europe As Competitive Knowledge-Based Society by 2010?
    Editorial Can Croatia Join Europe as Competitive Knowledge-based Society by 2010? Mladen Petrovečki1, Vladimir Paar2, Dragan Primorac1 1Ministry of Science, The 21st century has brought important changes in the paradigms of eco- Education and Sports of the nomic development, one of them being a shift toward recognizing knowl- Republic of Croatia, Zagreb, Croatia edge and information as the most important factors of today. The European 2Croatian Academy of Union (EU) has been working hard to become the most competitive knowl- Sciences and Arts, edge-based society in the world, and Croatia, an EU candidate country, has Zagreb, Croatia been faced with a similar task. To establish itself as one of the best knowl- edge-based country in the Eastern European region over the next four years, Croatia realized it has to create an education and science system correspon- dent with European standards and sensitive to labor market needs. For that purpose, the Croatian Ministry of Science, Education, and Sports (MSES) has created and started implementing a complex strategy, consisting of the following key components: the reform of education system in accordance with the Bologna Declaration; stimulation of scientific production by sup- porting national and international research projects; reversing the “brain drain” into “brain gain” and strengthening the links between science and technology; and informatization of the whole education and science sys- tem. In this comprehensive report, we describe the implementation of these > Correspondence to: measures, whose coordination with the EU goals presents a challenge, as well as an opportunity for Croatia to become a knowledge-based society Mladen Petrovečki Assistant Minister for Science by 2010.
    [Show full text]