The Mechanics Of Lorentz Transformations
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The Mechanics Of Lorentz Transformations
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-10-04
The Mechanics Of Lorentz Transformations written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-04 with Science categories.
The subject of this book is the mechanics of Lorentz transformations which is commonly investigated under the title of special relativity theory. The motive for setting the subject of investigation as Lorentz transformations instead of special relativity is objectivity. However, we also investigate special relativity thoroughly as a possible interpretation of the mechanics of Lorentz transformations. The book originates from a collection of personal notes and tutorials about topics and applications related to modern physics and tensor calculus. The book includes many solved problems as well as extensive sets of exercises whose solutions are available in another book. The book also contains a number of high quality graphic illustrations. A rather thorough index is also added to the book to enable keyword search and provide a useful list for the main technical terms of this subject. Cross referencing is used extensively where these cross references are hyperlinked in the digital versions. The book can be used as a guiding text or as a reference for a first course on the mechanics of Lorentz transformations or as part of a course on modern physics or tensor calculus or even special relativity.
Physics Of The Lorentz Group
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Author : Sibel Baskal
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2015-11-01
Physics Of The Lorentz Group written by Sibel Baskal and has been published by Morgan & Claypool Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-01 with Science categories.
This book explains the Lorentz mathematical group in a language familiar to physicists. While the three-dimensional rotation group is one of the standard mathematical tools in physics, the Lorentz group of the four-dimensional Minkowski space is still very strange to most present-day physicists. It plays an essential role in understanding particles moving at close to light speed and is becoming the essential language for quantum optics, classical optics, and information science. The book is based on papers and books published by the authors on the representations of the Lorentz group based on harmonic oscillators and their applications to high-energy physics and to Wigner functions applicable to quantum optics. It also covers the two-by-two representations of the Lorentz group applicable to ray optics, including cavity, multilayer and lens optics, as well as representations of the Lorentz group applicable to Stokes parameters and the Poincaré sphere on polarization optics.
University Physics
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Author : Samuel J. Ling
language : en
Publisher:
Release Date : 2016-09-29
University Physics written by Samuel J. Ling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-29 with Mechanics categories.
"University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. This textbook emphasizes connections between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result."--Open Textbook Library.
Introduction To Differential Geometry Of Space Curves And Surfaces
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-09-14
Introduction To Differential Geometry Of Space Curves And Surfaces written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-14 with Mathematics categories.
This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.
Paradoxes In The Theory Of Relativity
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Author : Yakov Terletskii
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Paradoxes In The Theory Of Relativity written by Yakov Terletskii and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
That Einstein's insight was profound goes without saying. A strildng indication of its depth is the abundance of unexpected riches that others have found in his work - riches reserved for those daring to give serious attention to implications that at first sight seem unphysical. A famous instance is that of the de Broglie waves. If, in ac cordance with Fermat's principle, a photon followed the path of least time, de Broglie felt that the photon should have some phys ical means of exploring alternative paths to determine which of them would in fact require the least time. For this and other rea sons, he assumed that the photon had a nonvanishing rest mass, and, in accordance with Einstein's E = h v, he endowed the photon with a spread-out pulsation of the form A Sin(27TEt/h) in the photon's rest frame. According to the theory of relativity such a pulsation, every where simultaneous in a given frame, seemed absurd as a physical entity. Nevertheless de Broglie took it seriously, applied a Lorentz transformation in the orthodox relativistic tradition, and found that the simultaneous pulsation was transformed into a wave whose phase velocity was finite but greater than c while its group velocity was that of the particle. By thus pursuing Einsteinian concepts into thickets that others had not dared to penetrate, de Broglie laid the brilliant foundations of wave mechanics.
The Geometry Of Special Relativity
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Author : Tevian Dray
language : en
Publisher: CRC Press
Release Date : 2012-07-02
The Geometry Of Special Relativity written by Tevian Dray and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-02 with Mathematics categories.
The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity. The book also briefly describes the further steps leading to Einstein’s general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function.
Tensor Calculus Made Simple
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-08-23
Tensor Calculus Made Simple written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.
This book is about tensor calculus. The language and method used in presenting the ideas and techniques of tensor calculus make it very suitable for learning this subject by the beginners who have not been exposed previously to this elegant branch of mathematics. Considerable efforts have been made to reduce the dependency on foreign texts by summarizing the main concepts needed to make the book self-contained. The book also contains a significant number of high-quality graphic illustrations to aid the readers and students in their effort to visualize the ideas and understand the abstract concepts. Furthermore, illustrative techniques, such as coloring and highlighting key terms by boldface fonts, have been employed. The book also contains extensive sets of exercises which cover most of the given materials. These exercises are designed to provide thorough revisions of the supplied materials. The solutions of all these exercises are provided in a companion book. The book is also furnished with a rather detailed index and populated with hyperlinks, for the ebook users, to facilitate referencing and connecting related subjects and ideas.
Special Relativity
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Author : N.M.J. Woodhouse
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-03-12
Special Relativity written by N.M.J. Woodhouse and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-12 with Mathematics categories.
This book provides readers with the tools needed to understand the physical basis of special relativity and will enable a confident mathematical understanding of Minkowski's picture of space-time. It features a large number of examples and exercises, ranging from the rather simple through to the more involved and challenging. Coverage includes acceleration and tensors and has an emphasis on space-time diagrams.
Selected Scientific Papers Of Sir Rudolf Peierls
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Author : Rudolf Ernst Peierls
language : en
Publisher: World Scientific
Release Date : 1997
Selected Scientific Papers Of Sir Rudolf Peierls written by Rudolf Ernst Peierls and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
This book is a collection of the major scientific papers of Sir Rudolf Peierls (1907-95), including the Peierls-Frisch Memoranda of 1940 on the feasibility, and the predicted human effects, of an atomic bomb made of uranium-235. His papers range widely in topic. They include much on the fundamentals of solid state physics, the thermal and electric conductivity of materials as a function of temperature T (especially T→0), the interpretation of the de Haas-van Alphen effect observed for a metal in a magnetic field, and the basics of transport theory. Many are on problems in statistical mechanics, including his constructive paper demonstrating the existence of a phase transition for Ising's model for a two-dimensional ferromagnet. In nuclear physics, they include the first calculations (with Bethe) on the photo-disintegration of the deuteron (made in response to a challenge by Chadwick), the Kapur-Peierls theory of resonance phenomena in nuclear reactions, the Bohr-Peierls-Placzek continuum model for complex nuclei (which first explained the narrow resonances observed for low energy neutrons incident on very heavy nuclei), and the Peierls-Thouless variational approach to collective phenomena in nuclei. Several of Peierls's wartime papers, now declassified, are here published for the first time.Brief commentaries on most of the papers in this book were added by Peierls, to indicate subsequent developments and their relationship with other work, or to correct errors found later on. A complete bibliography of his writings is given as an appendix.
Solutions Of Exercises Of Introduction To Differential Geometry Of Space Curves And Surfaces
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Author : Taha Sochi
language : en
Publisher: Independently Published
Release Date : 2019-01-21
Solutions Of Exercises Of Introduction To Differential Geometry Of Space Curves And Surfaces written by Taha Sochi and has been published by Independently Published this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-21 with Mathematics categories.
This book contains the solutions of the exercises of my book: Introduction to Differential Geometry of Space Curves and Surfaces. These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory level.