This book discusses in detail the special theory of relativity without including all the instruments of theoretical physics, enabling readers who are not budding theoretical physicists to develop competence in the field. An arbitrary but fixed inertial system is chosen, where the known velocity of light is measured. With respect to this system a moving clock loses time and a moving length contracts. The book then presents a definition of simultaneity for the other inertial frames without using the velocity of light.

This book explores the diverse types of Schrödinger equations that appear in nonlinear systems in general, with a specific focus on nonlinear transmission networks and Bose–Einstein Condensates. In the context of nonlinear transmission networks, it employs various methods to rigorously model the phenomena of modulated matter-wave propagation in the network, leading to nonlinear Schrödinger (NLS) equations. Modeling these phenomena is largely based on the reductive perturbation method, and the derived NLS equations are then used to methodically investigate the dynamics of matter-wave solitons in the network. In the context of Bose–Einstein condensates (BECs), the book analyzes the dynamical properties of NLS equations with the external potential of different types, which govern the dynamics of modulated matter-waves in BECs with either two-body interactions or both two- and three-body interatomic interactions.

The editors are pleased to submit to the readers the state of the art in high energy physics as it appears at the beginning of 1979. Great appreciation is extended to Mrs. Helga S. Billings and Mrs. Connie Wardy for their assistance with the conference and skillful typing of the proceedings which was done with great enthusiasm and dedication. Orbis Scientiae 1979 received some support from the Department of Energy. The Editors v CONTENTS Evidence for Quarks from Neutrino-Nucleon Scattering…… 1 F. Sciulli Direct Experimental Evidence for Constituents in the Nucleon from Electromagnetic Scattering Experiments. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 . . . . . . . . . . Karl Berkelman Physics After T and T 79 A. Pais Protons Are Not Forever…………………………….. 91 D. V. Nanopoulos Gauge Hierarchies in Unified Theories………………… 115 Itzhak Bars Anomalies, Unitarity and Renormalizatior………………. 133 Paul H. Frampton Charm Particle Production by Neutrinos……………….. 139 N.P. Samios 34 Techniques to Search for Proton Instability to 10 Years.

Einstein once remarked "After a certain high level of technical skill is achieved, science and art tend to coalesce in aesthetics, plasticity, and form. The greatest scientists are always artists as well". In this volume, some of the world’s leading thinkers come together to expound on the interrelations between sciences and arts.

Throughout my research in the history of science I have been struck by the interest of many key scientists in the origins of scientific concepts and the process of creative thinking, particularly its intui- tive dimension. These scientists saw apparently disparate subjects as being related because the depth of their research had led them to consider the process of thinking itself. This book explores the con- nection of creative scientific thinking with the origins of scientific concepts and the ways in which this connection may provide a better understanding of scientific progress. Thus my concern here is with individuals, with the detailed structure of scientific change, and not with its macrostructure.

These notes present very recent results on compact Kähler-Einstein manifolds of positive scalar curvature. A central role is played here by a Lie algebra character of the complex Lie algebra consisting of all holomorphic vector fields, which can be intrinsically defined on any compact complex manifold and becomes an obstruction to the existence of a Kähler-Einstein metric. Recent results concerning this character are collected here, dealing with its origin, generalizations, sufficiency for the existence of a Kähler-Einstein metric and lifting to a group character. Other related topics such as extremal Kähler metrics studied by Calabi and others and the existence results of Tian and Yau are also reviewed. As the rudiments of Kählerian geometry and Chern-Simons theory are presented in full detail, these notes are accessible to graduate students as well as to specialists of the subject.

Proceedings of the International School of Quantum Electronics 27th course on Bose Einstein Condensates and Atom Lasers, October 19-24, 1999, Erice, Italy. Since the experimental demonstration of Bose Einstein Condensation in dilute atomic gases there has been an explosion of interest in the properties of this novel macroscopic quantum system. The book covers the methods used to produce these new samples of coherent atoms, their manipulation and the study of their properties. Emphasis is given to the anticipated development of new types of sources, which more and more resemble traditional types of lasers.

This book explores the different conceptions of reality in the various interpretations of Quantum Mechanics, demonstrating the intimate connection to philosophy of physics. With interest in the foundations of Quantum Mechanics having revived in recent decades, a number of interpretations have been formulated or rediscovered and these remain in strong competition with one another for acceptance by the scientific community. At the same time they imply quite different notions of reality.

Quantum Structures and the Nature of Reality is a collection of papers written for an interdisciplinary audience about the quantum structure research within the International Quantum Structures Association. The advent of quantum mechanics has changed our scientific worldview in a fundamental way. Many popular and semi-popular books have been published about the paradoxical aspects of quantum mechanics. Usually, however, these reflections find their origin in the standard views on quantum mechanics, most of all the wave-particle duality picture. Contrary to relativity theory, where the meaning of its revolutionary ideas was linked from the start with deep structural changes in the geometrical nature of our world, the deep structural changes about the nature of our reality that are indicated by quantum mechanics cannot be traced within the standard formulation. The study of the structure of quantum theory, its logical content, its axiomatic foundation, has been motivated primarily by the search for their structural changes. Due to the high mathematical sophistication of this quantum structure research, no books have been published which try to explain the recent results for an interdisciplinary audience. This book tries to fill this gap by collecting contributions from some of the main researchers in the field. They reveal the steps that have been taken towards a deeper structural understanding of quantum theory.