Wave Mechanics

A complete explanation of quantum mechanics, from its early non-relativistic formulation to the complex field theories used so extensively in modern theoretical research, this volume assumes no specialized knowledge of the subject. It stresses relativistic quantum mechanics, since this subject plays such an important role in research, explaining the principles clearly and imparting an accurate understanding of abstract concepts. This text deals with quantum mechanics from its earliest developments, covering both the quantum mechanics of wave fields and the older quantum theory of particles. The final chapter culminates with the author's presentation of his revolutionary theory of fundamental length--a concept designed to meet many of quantum theory's longstanding basic difficulties.

This is a textbook aimed at graduate students and offshore engineering practitioners that covers basic fluid mechanics and the deterministic and statistical descriptions of infinitesimal and finite amplitude water waves. It reviews the theory of wave loading on structures and closes with a chapter on the potential of ocean wave energy and devices for extracting it. Since the 1980s there has been tremendous progress in numerical and physical modelling of coastal and offshore structures in waves. This calls for a clear understanding of the phenomena of wave generation, propagation, deformation and its effects on marine structures. This book will help the reader to understand the many results and descriptions found in journals, reports and research papers. It is self-contained, and encompasses the fundamentals of the subject with sufficient description and illustrations.

The famous equation that bears Erwin Schrödinger's name encapsulates his profound contributions to quantum mechanics using wave mechanics. This third, augmented edition of his papers on the topic contains the six original, famous papers in which Schrödinger created and developed the subject of wave mechanics as published in the original edition. As the author points out, at the time each paper was written the results of the later papers were largely unknown to him. This edition also contains three papers that were written shortly after the original edition was published and four lectures delivered by Schrödinger at the Royal Institution in London in 1928. The papers and lectures in this volume were revised by the author and translated into English, and afford the reader a striking and valuable insight into how wave mechanics developed.

Selected Readings in Physics: Wave Mechanics provides information pertinent to the fundamental aspects of wave mechanics. This book discusses the discovery of quantum mechanics. Organized into two parts encompassing five chapters and eight papers, this book begins with an overview of the essential parts of a theory, including a mathematical system, a domain of determinable facts, and a system of prescriptions correlating mathematical quantities and physical facts. This text then describes the classical model of electrons as mass points. Other chapters consider the connections between mathematically calculated quantities and physically measured quantities. This book discusses as well the relationship between the concepts of frequency and energy. The final paper deals with the theory of collision processes in which the transition probabilities are determined by the asymptomatic behavior of aperiodic solutions. This book is a valuable resource for physicists, scientists, and research workers.

Wave Mechanics discusses the quantum physical concepts of wave. The title accounts the development of quantum theory. The text first covers the historical development of quantum theory, and then proceeds to tackling the two routes to quantum mechanics. Next, the selection discusses the matrix mechanics and wave mechanics as representations of mathematical structures in Hubert space. The text also deals with the physical interpretation of quantum mechanics, along with the temporal development of the physical quantities. In the second part, the selection presents several papers in quantum mechanics. The book will be of great use to students and researchers of quantum physics.

A lively collection of Einstein’s groundbreaking scientific correspondence on modern physics Imagine getting four of the greatest minds of modern physics in a room together to explain and debate the theories and innovations of their day. This is the fascinating experience of reading Letters on Wave Mechanics, the correspondence between H. A. Lorentz, Max Planck, Erwin Schrödinger, and Albert Einstein. These remarkable letters illuminate not only the basis of Schrödinger’s work in wave mechanics, but also how great scientific minds debated and challenged the ever-changing theories of the day and ultimately embraced an elegant solution to the riddles of quantum theory. Their collected correspondence offers insight into both the personalities and professional aspirations that played a part in this theoretical breakthrough. This authorized ebook features rare photos and never-before-seen documents from the Albert Einstein Archives at the Hebrew University of Jerusalem.

An introduction to classical water wave theory for college seniors or first-year graduate students. Almost all the necessary mathematical and engineering concepts are either presented or derived in the text, making it also useful as a reference for practicing engineers. Paper edition (0421-3), $28. Acidic paper. Annotation copyrighted by Book News, Inc., Portland, OR

This book gives an overview ofthe current state of nonlinear wave mechanics with emphasis on strong discontinuities (shock waves) and localized self preserving shapes (solitons) in both elastic and fluid media. The exposition is intentionallyat a detailed mathematical and physical level, our expectation being that the reader will enjoy coming to grips in a concrete manner with advances in this fascinating subject. Historically, modern research in nonlinear wave mechanics began with the famous 1858 piston problem paper of Riemann on shock waves and con tinued into the early part of the last century with the work of Hadamard, Rankine, and Hugoniot. After WWII, research into nonlinear propagation of dispersive waves rapidly accelerated with the advent of computers. Works of particular importance in the immediate post-war years include those of von Neumann, Fermi, and Lax. Later, additional contributions were made by Lighthill, Glimm, Strauss, Wendroff, and Bishop. Dispersion alone leads to shock fronts of the propagating waves. That the nonlinearity can com pensate for the dispersion, leading to propagation with a stable wave having constant velocity and shape (solitons) came as a surprise. A solitary wave was first discussed by J. Scott Russell in 1845 in "Report of British Asso ciations for the Advancement of Science. " He had, while horseback riding, observed a solitary wave travelling along a water channel and followed its unbroken progress for over a mile.