This volume contains a portion of the presentations given at the session on Laser-Fusion and Laser Develop ment of Orbis Scientiae II, held at the Center for Theoretical Studies, University of Miami, from January 20 through January 24, 1975. This second in the new series of meetings held at the CTS strove to implement the goals professed in the organization of Orbis Scientiae in 1974, namely to encourage scientists in several disci plines to exchange views, not only with colleagues who share similar research interests, but also to acquaint scientists in other fields with the leading ideas and current results in each area represented. Thus, an effort has been made to include papers in each session that discuss fundamental issues in a way which is com prehensible to scientists who are specialists in other areas. Also in keeping with the philosophy of Orbis Scientiae, the major topics each year are to be varied, with the invariant being the inclusion of developments in fundamental physics. The discussions of the current state of the art in lasers and fusion represented in this volume are not only of interest because they deal with newly unfolding branches of physics, but also because of their potential technological and societal significance. The paper by v. N. Lugovoi and A. M. Prokhorov was not presented at Orbis Scientiae II, but is included because of its relevance to the topics in this volume.
This volume contains the papers presented during the Neurophysiology Session of the first Orbis Scientiae of the Center for Theoretical Studies, University of Miami, Coral Gables, Florida. With this first Orbis which met from January 7 - 11, 1974, the Center for Theoretical Studies has inaugerated a new set of annual gatherings devoted to the natural sciences and to problems on the "interface" of science and society. The content of the talks presented ranged over a wide variety of topics in neurophysiology, biophysics and biochemistry. A number of the talks concerned various aspects of the brain and its functions. Recent results were also presented on the physics and chemistry of membranes. The papers in the volume are presented in the order in which they were originally delivered. Special thanks are due to Mrs. Helga Billings, Miss Sara Lesser and Mrs. Jacquelyn Zagursky for the typing of the manuscript and for their efficient and cheerful attention to the details of the conference.
This volume contains the papers presented during the Neurophysiology Session of the first Orbis Scientiae of the Center for Theoretical Studies, University of Miami, Coral Gables, Florida. With this first Orbis which met from January 7 - 11, 1974, the Center for Theoretical Studies has inaugerated a new set of annual gatherings devoted to the natural sciences and to problems on the "interface" of science and society. The content of the talks presented ranged over a wide variety of topics in neurophysiology, biophysics and biochemistry. A number of the talks concerned various aspects of the brain and its functions. Recent results were also presented on the physics and chemistry of membranes. The papers in the volume are presented in the order in which they were originally delivered. Special thanks are due to Mrs. Helga Billings, Miss Sara Lesser and Mrs. Jacquelyn Zagursky for the typing of the manuscript and for their efficient and cheerful attention to the details of the conference.
This volume contains a portion of the presentations given at the session on Laser-Fusion and Laser Develop ment of Orbis Scientiae II, held at the Center for Theoretical Studies, University of Miami, from January 20 through January 24, 1975. This second in the new series of meetings held at the CTS strove to implement the goals professed in the organization of Orbis Scientiae in 1974, namely to encourage scientists in several disci plines to exchange views, not only with colleagues who share similar research interests, but also to acquaint scientists in other fields with the leading ideas and current results in each area represented. Thus, an effort has been made to include papers in each session that discuss fundamental issues in a way which is com prehensible to scientists who are specialists in other areas. Also in keeping with the philosophy of Orbis Scientiae, the major topics each year are to be varied, with the invariant being the inclusion of developments in fundamental physics. The discussions of the current state of the art in lasers and fusion represented in this volume are not only of interest because they deal with newly unfolding branches of physics, but also because of their potential technological and societal significance. The paper by v. N. Lugovoi and A. M. Prokhorov was not presented at Orbis Scientiae II, but is included because of its relevance to the topics in this volume.
In accordance with the established tradition of these annual meetings under the aegis of Orbis Scientiae we have, this year, included the very important field of "The Significance of Non linearity in the Natural Sciences." We are pleased to join many scientists in recognizing the nonlinearity arising from the under lying interaction of all natural phenomena. It is tempting to say that in the long run things are nonlinear and that we shall have to design new techniques and methods to solve nonlinear equations. This year's Orbis Scientiae did include four sessions on nonlinear equations pertaining to elementary particle physics, molecular physics, fluid dynamics, and also to biology. Our Center intends to pursue the inclusions of these topics in its future Orbis Scientiae. Appreciation is extended to Mrs. Helga S. Billings, Mrs. Elva Brady, and Ms. Yvonne L. Leber for their skillful typing of the proceedings, which they have performed with great enthusiasm and dedication. The Editors v CONTENTS Some Recent Developments on Solitons in Two-Dimensional Field Theories 1 Andre Neveu Path Integral Quantization of Solitons. . . . . . . . . . 17 A. Jevicki Nontopological Solitons 39 R. Friedberg Vacuum Bubble Instantons 57 P. H. Frampton Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence . . . . . 67 Henry C. Yuen and Bruce M. Lake Solitons as Particles, and the Effects of Perturbations . . . . 97 D. J. Kaup The Formulation of Variational Principles by Means of Clebsch Potentials .
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