The Significance of Nonlinearity in the Natural Sciences

ISBN-13: 9781468472264 / Angielski / Miękka / 2013 / 423 str.

Stephan Mintz

Opis

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 .

Spis treści

Some Recent Developments on Solitons in Two-Dimensional Field Theories.- Path Integral Quantization of Solitons.- Nontopological Solitons.- Vacuum Bubble Instantons.- Nonlinear Deep Water Waves: A Physical Testing Ground for Solitons and Recurrence.- Solitons as Particles, and the Effects of Perturbations.- The Formulation of Variational Principles by Means of Clebsch Potentials.- Coherent Structures in Fluid Dynamics.- Collisionless Multiphoton Dissociation of SF6: A Statistical Thermodynamic Process.- Structure of the Vibrational States in the v3-Fundamental and Its Overtones in SF6 and Multiphoton Absorption Effects.- Review of Rotational Structure in Excited Vibrational States of Spherical-Top Molecules.- Isotope Effects in Molecular Multiquantum Amplitudes.- Spatio-temporal Structuration in Immobilized Enzyme Systems.- Theories and Conjectures on Membrane-Supported Waves and Patterns.- Physical Mechanisms of Nerve Excitability.- Of Trials and Errors (1977 J. Robert Oppenheimer Memorial Price Acceptance Speech).- Participants.- Program.