Geometrical Mechanics and de Broglie Waves
Author: John Lighton Synge
Publisher: Cambridge University Press
Published: 1954
Total Pages: 180
ISBN-13: 0521156882
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Geometrical Mechanics and De Broglie Waves
Author: J. L. Synge
Publisher: Cambridge University Press
Published: 2011-04-14
Total Pages: 0
ISBN-13: 9780521156882
DOWNLOAD EBOOKThis book was first published in 1954. Its main focus, almost uniquely for its time, is the application of Hamilton's optical method to variational principles in space-time. Professor J. L. Synge here uses this method to generate a completely relativistic theory of de Broglie waves: a theory both simple and easily visualised in relation to space-time. Throughout this volume Professor Synge systematically develops this theory, engaging with readily accessible examples as well as more abstract concepts. His introduction helpfully contextualizes this study within the field of theoretical physics, whilst individual chapters focus upon the physics of rays and waves in space-time, the application of geometrical mechanics to free and changed particles, and the topic of primitive quantization. This book will be of interest to any physicists involved in the study of either de Broglie waves and Hamilton's optical method, or the work of Professor Synge himself.
Mathematics of Particle-Wave Mechanical Systems
Author: James M. Hill
Publisher: Springer Nature
Published: 2022-11-30
Total Pages: 388
ISBN-13: 3031197933
DOWNLOAD EBOOKDespite successes of modern physics, the existence of dark energy and matter is indicative that conventional mechanical accounting is lacking. The most basic of all mechanical principles is Newton’s second law, and conventionally, energy is just energy whether particle or wave energy. In this monograph, Louis de Broglie’s idea of simultaneous existence of both particle and associated wave is developed, with a novel proposal to account for mass and energy through a combined particle-wave theory. Newton’s second law of motion is replaced by a fully Lorentz invariant reformulation inclusive of both particles and waves. The model springs from continuum mechanics and forms a natural extension of special relativistic mechanics. It involves the notion of “force in the direction of time” and every particle has both particle and wave energies, arising as characteristics of space and time respectively. Dark matter and energy then emerge as special or privileged states occurring for alignments of spatial forces with the force in the direction of time. Dark matter is essentially a backward wave and dark energy a forward wave, both propagating at the speed of light. The model includes special relativistic mechanics and Schrödinger’s quantum mechanics, and the major achievements of mechanics and quantum physics. Our ideas of particles and waves are not yet properly formulated, and are bound up with the speed of light as an extreme limit and particle-wave demarcation. Sub-luminal particles have an associated superluminal wave, so if sub-luminal waves have an associated superluminal particle, then there emerges the prospect for faster than light travel with all the implications for future humanity. Carefully structured over special relativity and quantum mechanics, Mathematics of Particle-Wave Mechanical Systems is not a completed story, but perhaps the first mechanical model within which such exalted notions might be realistically and soberly examined. If ultimately the distant universe become accessible, this will necessitate thinking differently about particles, waves and the role imposed by the speed of light. The text constitutes a single proposal in that direction and a depository for mathematically related results. It will appeal to researchers and students of mathematical physics, applied mathematics and engineering mechanics.
Progress in Physics, vol. 1/2017
Author: Dmitri Rabounski
Publisher: Infinite Study
Published:
Total Pages: 56
ISBN-13:
DOWNLOAD EBOOKThe Journal on Advanced Studies in Theoretical and Experimental Physics, including Related Themes from Mathematics
Mechanics and Waves
Author: Remington Pitts
Publisher: Scientific e-Resources
Published: 2018-09-12
Total Pages: 352
ISBN-13: 1839473886
DOWNLOAD EBOOKA mechanical wave is a an oscillation of matter, and therefore transfers energy through a medium. While waves can move over long distances, the movement of the medium of transmission-the material-is limited. Therefore, the oscillating material does not move far from its initial equilibrium position. Mechanical waves transport energy. This energy propagates in the same direction as the wave. Any kind of wave (mechanical or electromagnetic) has a certain energy. Mechanical waves can be produced only in media which possess elasticity and inertia. Mechanics is the study of the motion of matter and the forces required to cause its motion. Mechanics is based on the concepts of time, space, force, energy, and matter. The knowledge of mechanics is needed for the study of all branches of physics, chemistry, biology and engineering. The consideration of all aspects of mechanics would be too large a task for us. Instead, in this course, we shall study only the classical mechanics of non-polar continua. We shall concern ourselves with the basic principles common to fluids and solids. The mechanics are a physical science, since it deals with the study of physical phenomena. However, some associate mechanics with mathematics, while many consider it as an engineering subject. Both these views are justified in part. Mechanics is the foundation of most engineering sciences and is an indispensable prerequisite to their study. This book aim to provide the necessary foundation in wave mechanics which prepare the students for an intensive study of advanced topics at a later stage, much of wave mechanics requires a good knowledge of mathematics.
Biographical Dictionary of Twentieth-Century Philosophers
Author: Stuart Brown
Publisher: Routledge
Published: 2012-09-10
Total Pages: 984
ISBN-13: 1134927959
DOWNLOAD EBOOKThis Biographical Dictionary provides detailed accounts of the lives, works, influence and reception of thinkers from all the major philosophical schools and traditions of the twentieth-century. This unique volume covers the lives and careers of thinkers from all areas of philosophy - from analytic philosophy to Zen and from formal logic to aesthetics. All the major figures of philosophy, such as Nietzsche, Wittgenstein and Russell are examined and analysed. The scope of the work is not merely restricted to the major figures in western philosophy but also covers in depth a significant number of thinkers from the near and far east and from the non-European Hispanic-language communities. The Biographical Dictionary also includes a number of general entries dealing with important schools of philosophy, such as the Vienna Circle, or currents of thought, such as vitalism. These allow the reader to set the individual biographies in the context of the philosophical history of the period. With entries written by over 100 leading philosophy scholars, the Biographical Dictionary is the most comprehensive survey of twentieth-century thinkers to date. Structure The book is structured alphabetically by philosopher. Each entry is identically structured for ease of access and covers: * nationality * dates and places of birth and death * philosophical style or school * areas of interest * higher education * significant influences * main appointments * main publications * secondary literature * account of intellectual development and main ideas * critical reception and impact At the end of the book a glossary gives accounts of the schools, movements and traditions to which these philosophers belonged, and thorough indexes enable the reader to access the information in several ways: * by nationality * by major areas of contribution to philosophy e.g. aesthetics * by major influences on the thinker concerned e.g. Plato, Kant, Wittgenstein
Holographic Anthropic Multiverse, The: Formalizing The Complex Geometry Of Reality
Author: Richard L Amoroso
Publisher: World Scientific
Published: 2009-07-27
Total Pages: 510
ISBN-13: 9814468576
DOWNLOAD EBOOKClassical Mechanics
Author: J.W. Leech
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 159
ISBN-13: 9401091692
DOWNLOAD EBOOKIt is a feature of the history of the subject that the study of atomic physics was accompanied by a partial neglect of that of classical mechanics. This led to the unsatisfactory situation in which the physicist was expected to assimilate the elements of quantum and statistical mechanics without understanding the classical foundations on which these subjects were built. The situation has improved in recent years through the general lengthening of degree courses, and it is now usual to study the analytical formulation at the late under graduate stage. A number of excellent treatises are available, and there are also many elementary accounts to be found in general works on physical principles. However, there has been available so far no self-contained introduction to the subject which provides the beginner with a broad general review without involving him in too much detail. It is hoped that this book may bridge the gap by pro viding the experimental physicist with a sufficient background for his theoretical understanding and the theorist with some stimulus to study the masterpieces of the subject. The mathematical equipment required is no more than in the normal honours physics course. For the purposes of Chapters IX XI it includes an elementary knowledge of cartesian tensors. A familiarity with Newtonian mechanics and some acquaintance with special relativity theory are presumed, though summarizing accounts are also given.
Selected Topics in Applications of Quantum Mechanics
Author: Mohammad Reza Pahlavani
Publisher: BoD – Books on Demand
Published: 2015-05-13
Total Pages: 470
ISBN-13: 953512126X
DOWNLOAD EBOOKThis book has two sections. The section Selected Topics in Applications of Quantum Mechanics provides seven chapters about different applications of quantum mechanics in science and technology. The section Selected Topics in Foundations of Quantum Mechanics provides seven chapters about the foundations of quantum mechanics. This book is written by a community of expert scientists from different research institutes and universities from all over the world. Without a doubt, quantum mechanics is the greatest discovery of the 20th century. Therefore, its history and foundations are of great interest to scientists and students. This book covers some of the applications of quantum mechanics in nuclear physics, medical science, information technology, atomic physics and material science, as well as selected topics of quantum mechanics through different bases and ideas about quantum mechanics. The basic idea of the publication of this book is to make scientists and researchers, as well as graduate students, familiar with the foundations of quantum mechanics.
Quantum Theory of Near-Field Electrodynamics
Author: Ole Keller
Publisher: Springer Science & Business Media
Published: 2012-02-02
Total Pages: 672
ISBN-13: 3642174108
DOWNLOAD EBOOK"Quantum Theory of Near-field Electrodynamics" gives a self-contained account of the fundamental theory of field-matter interaction on a subwavelength scale. The quantum physical behavior of matter (atoms and mesoscopic media) in both classical and quantum fields is treated. The role of local-field effects and nonlocal electrodynamics, and the tight links to the theory of spatial photon localization are emphasized. The book may serve as a reference work in the field, and is of general interest for physicists working in quantum optics, mesoscopic electrodynamics and physical optics. The macroscopic and microscopic classical theories form a good starting point for the quantum approach, and these theories are presented in a manner appropriate for graduate students entering near-field optics.
