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The MATSCIENCE Institute holds two scientific meetings a year, an anniversary symposium in January to commemorate its birth in 1962 and a three-week summer school in August. The proceedings of the first three meetings were initially made available for private circulation as cyclostyled notes. Professor Rosenfeld, the editor of Nuclear Physics, expressed the view that such material, which repre sented the cooperative effort of the scientists from various countries who participated in the visiting program of our Institute, should be published in a "more permanent form" to reach a wider community of readers. We were given the opportunity to do this by Mr. Earl Coleman, President of Plenum Press, who made the spontaneous offer, during his visit to Madras just a year ago to publish these proceedings as a continuing series. It was also decided to include in each volume certain lectures delivered during the year, though not at the meeting itself, if they were relevant to the subject matter of the symposium. The handsome effort of Plenum Press to bring out the series begin ning with the very first symposium has been matched by the willing cooperation of our visiting scientists, who have made this an inter national endeavor, the wholesome consequences of which will be felt beyond the domain of science.
This volume represents the proceedings of the Sixth Anniversary MATSCIENCE Symposium on Theoretical Physics held in January 1968 as well as the Seminar in Analysis held earlier, in December 1967. A new feature of this volume is that it includes also contributions dealing with applications of mathematics to domains other than theoretical physics. Accordingly, the volume is divided into three parts-Part I deals with theoretical physics, Part II with applications of mathematical methods, and Part III with pure mathematics. The volume begins with a contribution from Okubo who proposed a new scheme to explain the CP puzzle by invoking the intermediate vector bosons. Gordon Shaw from Irvine dealt with the crucial importance of the effects of CDD poles in partial wave dispersion relations in dynamical calculation of resonances. Applications of current algebra and quark models were considered in the papers of Divakaran, Ramachandran, and Rajasekharan. Dubin presented a rigorous formulation of the Heisenberg ferromagnet.
author index.
This volume comprises the lectures given at the Fifth Anniversary Symposium held at the Institute of Mathematical Sciences, Madras, India, during January 1967. Professor Dallaporta of Padua delivered the inaugural address on the fundamental problem of quasars "whose study appears to hold im plications for cosmology." He presented a critical review of several attempts to understand their exceptionally large red shifts and also discussed the physical theories concerning the cause of the explosions which give rise to the quasars and to the tremendous energy output they require - questions which still remain unanswered. He stated, in concluding, that we may have to invoke certain aspects of the present theories of elementary particles in order to unravel these mysteries. Professor Mercier, well known for his studies on the philosophical foundations of modern physics, critically examined the various at tempts, such as that of Einstein, to formulate a unified field theory.
This volume contains the proceedings of the Third Matscience Summer School held at Bangalore in September, 1966. The special feature of these proceedings was two systematic series of lectures, one by F. Pham of C.E.N., Saclay and CERN, Geneva and the other by G. Rickayzen of the University of Kent, Canterbury. Pham dwelt at length on the applications of the methods of alge braic topology and differential forms to the study of the analytic properties of S-matrix theory, in particular, with reference to the location of singularities of the multiple scattering processes. This exposition was a natural sequel to the lectures of V. L. Teplitz, pub lished in an earlier volume of this series. Rickayzen discus.sed in detail the latest theory of superconductivity. Other lectures were those of Scadron, who dealt with some formal features of potential scattering theory, and B. M. Udgaonkar and A. N. Mitra, who spoke on certain aspects of bootstraps and quark models, respectively. The contributions in pure mathematics in this volume include two lectures by S. K. Singh, one on the field of Mikusinski operators and another on Riemann mapping theorem, and a lecture on cosine func tionals by P. L. Kannappan. One of the highlights of the symposium was a lecture by S. K. Srinivasan who is keeping alive the interest of the Madras group in the theory of stochastic processes and who, in particular, has enlarged the domain of the application of the theory of product densities.
The second volume of this series is devoted to the Proceedings of the Second Anniversary Symposium under the chairmanship of the Niels Bohr Visiting Professor of the year - Professor L. Rosenfeld, Deputy Director of NORDIT A, Copenhagen, and the Editor of Nuclear Physics. With particular appropriateness, the Symposium was inaugu rated by the Honorable C. Subramaniam, Union Cabinet Minister, the founding father of the Institute. The meeting was characterized by two features: (1) the enlargement of the scope of the discussions in theoretical physics, with the inclusion of many-body problems and statistical mechanics! (2) Seminars on pure mathematics, stimulated by the prdence and participation of Professor Marshall H. Stone of Chicago as the First Ramanujan Visit ing Professor at the Institute. The year 1963 marked a new stage in the development of high energy physics - the first successes of SU (3) symmetry and the eight fold way had such an impact on the scientific world that the hard, unyielding domain of strong interactions was now again open to ex ploration. The volume opens with two significant lectures by Sudarshan and O'Raifeartaigh on fundamental problems relating to internal sym metries. The theory of Regge poles, after its initial triumph, met with rough weather, the nature and intensity of which can be realized from the series of discussions in this volume.