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.
AN INTRODUCTION TO THE STUDY OF WAVE MECHANICS by LOUIS DE BROGLIE. Originally published in 1930. Contents include: INTRODUCTION 1 CHAPTER I HE OLD SYSTEMS OF MECHANICS OP A PARTICLE 11 CHAPTER II J HB THEORY OF JACOBI 26 CHAPTER III THE CONCEPTIONS UNDERLYING WAVE MECHANICS 39 CHAPTER IV GENERAL REMARKS ON WAVE PROPAGATION 49 CHAPTER V THE EQUATIONS OF PROPAGATION OF THE WAVE ASSOCIATED WITH A PARTICLE 68 CHAPTER VI CLASSICAL MECHANICS AND WAVE MECHANICS 79, CHAPTER VII THE PRINCIPLE OF INTERFERENCE AND THE DIFFRACTION OF ELECTRONS BY CRYSTALS 88 CHAPTER VIII THE PRINCIPLE OF INTERFERENCE AND THE SCATTERING OF CHARGED PARTICLES BY A FIXED CENTRE 102 CHAPTER IX THE MOTION OF THB PROBABILITY WAVE IN THE NEW MECHANICS . .111 CHAPTER X THE WAVE MECHANICS OF LIGHT QUANTA, 12 CHAPTER XI THE THEORY OF BOHR AND HBWENBERG vi An Introduction to the Study of Wave Mechanics CHAPTER XII PAG THB POSSIBILITY OF MEASUREMENT AND HBISENBERGS RELATIONS ., 1 CHAPTER XIII THE PROPAGATION OF A TRAIN OF -WAVES IN THE ABSENCE OF A FIELD OF FORCE AND IN A UNIFORM FIELD 1 CHAPTER XIV WAVE MECHANICS OF SYSTEMS OF PARTICLES IVs CHAPTER XV THE INTERPRETATION OF THE WAVE ASSOCIATED WITH THE MOTION OF A SYSTEM 188 CHAPTER XVI THE OLD QUANTUM THEORY AND THE STABILITY OF PERIODIC MOTION . 199 CHAPTER XVII THE STABILITY OF QUANTISED MOTION FROM THE POINT OF VIEW OF WAVE MECHANICS .... 212 CHAPTER XVIII SOME EXAMPLES OF QUANTISATION 227 CHAPTER XIX THE MEANING OF THE -WAVES OF QUANTISED SYSTEMS .... 238 INDEX 247. AN INTRODUCTION TO THE STUDY OF WAVE MECHANICS. GENERAL INTRODUCTION: THE new wave mechanics has received during the past two years the firm support of experiment, thanks to the discovery of a strikingphenomenon completely unknown previously, viz. the diffraction of electrons by crystals. From one point of view it may be said that this discovery is the exact counterpart of the older discovery of the photo electric effect, since it shows that for matter as for light we have hitherto neglected one of the aspects of physical reality. The discovery of the photo-electric effect has taught us that the undulatory theory of light, firmly established by Fresnel and subsequently developed by Maxwell as the electro magnetic theory, although it contains a large body of truth, is, nevertheless, insufficient, and that it is necessary, in a certain sense, to turn again to the corpuscular conception of light proposed by Newton. Planck, in his famous theory of black body radiation, was led to assume that radiation of frequency v is always emitted and absorbed in equal and finite quantities, in quanta of magnitude hv, h being the constant with which the name of Planck will always be associated. In order to explain the photo-electric effect, Einstein had only to adopt the hypothesis, which is quite in conformity with the ideas of Planck, that light consists of corpuscles and that the energy of the cor puscles of light of frequency v is hv. When a light corpuscle in its passage through matter encounters an electron at rest, it can impart o it its energy hv and the electron thus set in 1 This introduction is the reproduction of a communication made by the author at the meeting of the British Association for the Advance ment of Science held in Glasgow in September, 1928, 1 2 An Introduction to the Study of Wave Mechanics motion will leave the matter with kinetic energy equal in amount to the differencebetween the energy hv, which it has received, and the work it has had to expend to get out of the matter. Now, this is precisely the experimental law of the photo-electric effect in the form which has been verified in succession for all the radiations from the ultra-violet region to X-and y-rays...
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.
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.
Intended for coastal engineers and marine scientists who desire to develop a fundamental physical understanding of ocean waves and be able to apply this knowledge to ocean and coastal analysis and design. Provides an introduction to the physical processes of ocean wave mechanics, an understanding of the basic techniques for wave analysis, techniques for practical calculation and prediction of waves and applied wave forecasting.
This book is intended as an introduction to classical water wave theory for the college senior or first year graduate student. The material is self-contained; almost all mathematical and engineering concepts are presented or derived in the text, thus making the book accessible to practicing engineers as well.The book commences with a review of fluid mechanics and basic vector concepts. The formulation and solution of the governing boundary value problem for small amplitude waves are developed and the kinematic and pressure fields for short and long waves are explored. The transformation of waves due to variations in depth and their interactions with structures are derived. Wavemaker theories and the statistics of ocean waves are reviewed. The application of the water particle motions and pressure fields are applied to the calculation of wave forces on small and large objects. Extension of the linear theory results to several nonlinear wave properties is presented. Each chapter concludes with a set of homework problems exercising and sometimes extending the material presented in the chapter. An appendix provides a description of nine experiments which can be performed, with little additional equipment, in most wave tank facilities.
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.
Examines the basic electronic and optical properties of two- dimensional semiconductor heterostructures based on III-V and II-VI compounds. Explores various consequences of one-dimensional size-quantization on the most basic physical properties of heterolayers. Beginning with basic quantum mechanical properties of idealized quantum wells and superlattices, it discusses the occurrence of bound states when the heterostructure is imperfect or when it is shone with near bandgap light.
