Rayleigh-Schr¨Odinger Perturbation Theory Based Upon Such a Pseudoinverse Formulation
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Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
Variations on the Wave Equation1
Variations on the Wave Equation1 Rolf Leis2 To Professor Claus Müller on completion of the eightieth year of his life on February 20th, 2000 MOS subject classification: 35–03; 01A60; 35J25; 35L05; 35L15; 35L20; 35L60; 35B40; 35P25 Summary: A lot of vibration processes in mathematical physics are described by the wave equa- tion or by related equations and systems, and plenty of research has been done on this subject. The results and methods obtained thereby have been very important in other fields of applicati- on, and they still are. They also had and still have an immense influence on the development of mathematics as a whole. The following survey tries to convey an impression of how exciting the research in this field of partial differential equations has been in the twentieth century, and it wants to present some of the interesting results achieved. The selection, of course, reflects personal tastes and inte- rests. It starts reporting on the state of the art at the end of the last century. It then describes important solution methods typical for this century, as there are integral equation methods, Hil- bert space methods, or spectral representation. Generalized solutions to initial boundary-value problems are mentioned, and some applications are indicated, e.g. on the asymptotic behaviour of solutions, in scattering theory, and in non-linear analysis. 1Preprint, to appear in Math. Meth. Appl. Sci. 2001; 24:339-367 2Institut für Angewandte Mathematik der Universität Bonn. Wegelerstr. 10, 53115 Bonn, Germany 2 The wave equation 2 (@t − ∆)u = o is one of the simplest equations which belong to the class of the so-called hyperbolic partial dif- ferential equations. -
Jarník's Notes of the Lecture Course Allgemeine Idealtheorie by BL Van
Jarník’s Notes of the Lecture Course Allgemeine Idealtheorie by B. L. van der Waerden (Göttingen 1927/1928) Bartel Leendert van der Waerden (1903-1996) In: Jindřich Bečvář (author); Martina Bečvářová (author): Jarník’s Notes of the Lecture Course Allgemeine Idealtheorie by B. L. van der Waerden (Göttingen 1927/1928). (English). Praha: Matfyzpress, 2020. pp. 7–[32]. Persistent URL: http://dml.cz/dmlcz/404377 Terms of use: Institute of Mathematics of the Czech Academy of Sciences provides access to digitized documents strictly for personal use. Each copy of any part of this document must contain these Terms of use. This document has been digitized, optimized for electronic delivery and stamped with digital signature within the project DML-CZ: The Czech Digital Mathematics Library http://dml.cz 7 BARTEL LEENDERT VAN DER WAERDEN (1903 – 1996) Family, childhood and studies Bartel Leendert van der Waerden was born on February 2, 1903 in Amster- dam in the Netherlands. His father Theodorus van der Waerden (1876–1940) studied civil engineering at the Delft Technical University and then he taught mathematics and mechanics in Leewarden and Dordrecht. On August 28, 1901, he married Dorothea Adriana Endt (?–1942), daughter of Dutch Protestants Coenraad Endt and Maria Anna Kleij. In 1902, the young family moved to Amsterdam and Theodorus van der Waerden continued teaching mathematics and mechanics at the University of Amsterdam where he had become interes- ted in politics; all his life he was a left wing Socialist. In 1910, he was elected as a member of the Sociaal-Democratische Arbeiderspartij to the Provincial government of North Holland. -
Die Physikalischen Arbeiten Des Jungen B. L. Van Der Waerden
Die physikalischen Arbeiten des jungen B. L. van der Waerden Martina R. Schneider als Dissertation vorgelegt im Fachbereich C Mathematik und Naturwissenschaften der Bergischen Universit¨at Wuppertal zur Erlangung des akademischen Doktorgrades Dr. rer. nat. im Oktober 2009 Die Dissertation kann wie folgt zitiert werden: urn:nbn:de:hbz:468-20100287 [http://nbn-resolving.de/urn/resolver.pl?urn=urn%3Anbn%3Ade%3Ahbz%3A468-20100287] Die Menschen k¨onnen nicht sagen, ” wie sich eine Sache zugetragen, sondern nur wie sie meinen, daß sie sich zugetragen h¨atte.“ (Georg Christoph Lichtenberg, Sudelbuch C, 375) 1. Gutachter: Prof. Dr. Erhard Scholz (Wuppertal) 2. Gutachter: Prof. Dr. Markus Reineke (Wuppertal) 3. Gutachter: Prof. David E. Rowe PhD (Mainz) Datum der Disputation: 9. Februar 2010 Inhaltsverzeichnis Einleitung 1 Hintergrund: Die Entwicklung bis ca. 1928 9 1 Zur Geschichte der Darstellungstheorie 11 1.1 Darstellungstheorie endlicher Gruppen . 13 1.1.1 Frobenius . 13 1.1.2 Burnside . 16 1.1.3 Schur . 18 1.2 Darstellungstheorie halbeinfacher Liealgebren und Liegruppen . 21 1.2.1 Zur Vorgeschichte: Killing, Study, Cartan . 22 1.2.2 Weyl . 25 2 Zur Entwicklung der Quantenmechanik 28 2.1 Quanten, Atomstruktur in der alten Quantentheorie . 28 2.1.1 Die Quantenhypothese . 28 2.1.2 Das Bohr-Sommerfeldsche Atommodell . 30 2.1.3 Krisenstimmung . 33 2.2 Das Entstehen der neuen Quantenmechanik . 34 2.2.1 Matrixmechanik, q-Zahlen, Wellenmechanik, Operator-Kalkul¨ 34 2.2.2 Elektronenspin und relativistische Wellengleichung . 37 3 Gruppentheorie und Quantenmechanik bis 1928 41 3.1 Das Auftauchen von Symmetrien bei Heisenberg und Dirac . 42 3.2 Das Einbeziehen der Darstellungstheorie und die Er¨offnung weiterer Anwendungsm¨oglichkeiten . -
EMS Newsletter September 2016 1 EMS Agenda EMS Executive Committee EMS Agenda
NEWSLETTER OF THE EUROPEAN MATHEMATICAL SOCIETY Features Elliptic Functions According to Eisenstein and Kronecker Wrinkles: From the Sea to Mathematics Kardar–Parisi–Zhang Universality Photo courtesy of Dyrol Lumbard, Oxford Interview Sir Andrew Wiles S E European September 2016 M M Mathematical Issue 101 History E S Society ISSN 1027-488X Göttingen State and University Library Journals published by the ISSN print 2313-1691 Published by Foundation Compositio Mathematica and EMS ISSN online 2214-2584 Managing Editors: 2016. Vol. 3 Gavril Farkas (Humboldt Universität zu Berlin, Germany); Yuri Tschinkel (New York University, USA) Approx. 600 pages. 21.0 x 28.0 cm Aims and Scope Price of subscription: Algebraic Geometry is an open access journal owned by the Foundation Compositio Mathematica. The Online free of charge purpose of the journal is to publish first-class research papers in algebraic geometry and related fields. All 198 ¤ print (1 volume, hard cover) contributions are required to meet high standards of quality and originality and are carefully screened by experts in the field. ISSN print 2308-5827 Annales de l’Institut Henri Poincaré D ISSN online 2308-5835 Editors-in-Chief: 2017. Vol. 4. 4 issues Gérard H. E. Duchamp (Université Paris XIII, France); Vincent Rivasseau (Université Paris XI, France); Approx. 400 pages. 17.0 x 24.0 cm Alan Sokal (New York University, USA and University College London, UK) Price of subscription: Managing Editor: 198 ¤ online only Adrian Tanasa˘ (Université de Bordeaux, France) 238 ¤ print+online Aims and Scope The journal is dedicated to publishing high-quality original research articles and survey articles in which combinatorics and physics interact in both directions. -
IN MEMORIAM Bartel Leendert Van Der Waerden (1903±1996)
B. L. VAN DER WAERDEN, ca. 1965 Courtesy of the Mathematics Institute, Oberwolfach iv HISTORIA MATHEMATICA 24 (1997), 125±130 ARTICLE NO. HM972152 IN MEMORIAM Bartel Leendert van der Waerden (1903±1996) Bartel Leendert van der Waerden, one of the great mathematicians of this century, died in ZuÈ rich on January 12, 1996. Born in Amsterdam on February 2, 1903, he showed an interest in mathematics at an early age. His father, an engineer and a teacher of mathematics with an active interest in politicsÐto the left but not a CommunistÐwanted his son to play outside, away from the mathematics books indoors. The young van der Waerden, however, preferred playing the solitary game called ``Pythagoras.'' This consisted of pieces which could be moved around freely and with which a square, a rectangle, or a triangle could be constructed in a variety of ways. Somewhat later, having somehow come up with the concept of the cosine, he rediscovered trigonometry, starting from the law of cosines. As a schoolboy, he regularly went to the reading hall of the public library in Amsterdam, where he studied a treatise in analytic geometry by Johan Antony Barrau, a professor at Groningen. Part II of that book contained many theorems insuf®ciently proven, even insuf®ciently formulated, and prompted van der Waerden to write to the author. Barrau's reaction? Should he leave Groningen, the university would have to nominate van der Waerden as his successor! This actually proved prophetic. Barrau moved to Utrecht in 1927, and in 1928, van der Waerden declined an offer from Rostock to accept his ®rst chair at Groningen. -
Title with Tosio Kato at Berkeley (Tosio Kato's Method and Principle
With Tosio Kato at Berkeley (Tosio Kato's Method and Title Principle for Evolution Equations in Mathematical Physics) Author(s) Cordes, H.O. Citation 数理解析研究所講究録 (2001), 1234: 1-17 Issue Date 2001-10 URL http://hdl.handle.net/2433/41502 Right Type Departmental Bulletin Paper Textversion publisher Kyoto University 数理解析研究所講究録 1234 巻 2001 年 1-17 1 With Tosio Kato at Berkeley H.O.Cordes Iam looking back at aperiod of about 36 years of collaboration (and, later, friend- ship) with Tosio Kato, mostly, while being his collegue at U.C., Berkeley, 1962-1988, and, after his retirement, 1988-1999. Actually, 1963 was not the begin of my acquaintance with his name or person. It so happened that we both grew uP within very similar mathematical climates, but at different ends of the world: In Japan, and in Germany. In fact, while Iwas amember of awell groomed community, Kato seems to have developed his environment all on his own, living in the countryside of Japan, during the second world war -according to his remarks at occasion of award of the Wiener prize, in 1980. Iam astudent of Franz Rellich, at Goettingen. Rellich started the rigorous investiga- tion of analytic perturbation of self-adjoint eigenvalue problems, in aseries of 5papers, in the 1930-s [Re], in the light of the quantum mechanical publicity of such problems. (Schroedinger [Schr] had given aformal discussion of the Stark effect, as perturbation of the hydrogen atom by an electric field, using such calculus.) In the early 1950-s Rellich came back from atrip to the USA, and told me about a young physicist, Tosio Kato.