Problems And Solutions In Special Relativity And Electromagnetism
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| Author | : Sergei Kruchinin |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 148 |
| Release | : 2017-07-27 |
| Genre | : Science |
| ISBN | : 981322729X |
Field theory is an important topic in theoretical physics, which is studied in the physical and physico-mathematical departments of universities. Therefore, lecturers are faced with the urgent task of not only providing students with information about the subject, but also to help them master the material at a deep qualitative level, by presenting the specific features of general approaches to the statement and the solution of problems in theoretical physics. One of the ways to study field theory is the practical one, where the students can deepen their knowledge of the theoretical material and develop problem-solving skills. This book includes a concise theoretical summary of the main branches of field theory and electrodynamics, worked examples, and some problems for the student to solve.The book is written for students of theoretical and applied physics, and corresponds to the curricula of the theoretical courses 'Field theory' and 'Electrodynamics' for physics undergraduates. It can also be useful for students of other disciplines, in particular, those in which physics is one of the base subjects.
| Author | : Sergei Kruchinin |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 137 |
| Release | : 2017 |
| Genre | : Science |
| ISBN | : 9789813227262 |
Vector and tensor analyses -- Elements of the special theory of relativity -- Relativistic mechanics -- Constant electric and magnetic fields in vacuum -- Electromagnetic waves -- Field of moving charges -- Emission of electromagnetic waves
| Author | : Yung-Kuo Lim |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 676 |
| Release | : 1993-03-19 |
| Genre | : Science |
| ISBN | : 9813103507 |
The material for these volumes has been selected from the past twenty years' examination questions for graduate students at University of California at Berkeley, Columbia University, the University of Chicago, MIT, State University of New York at Buffalo, Princeton University and University of Wisconsin. This volume comprises 440 problems and is divided into five parts: (I) Electrostatics; (II) Magnetostatic Field and Quasi-Stationary Electromagnetic Field; (III) Circuit Analysis; (IV) Electromagnetic Waves; (V) Relativistic Particle-Field Interactions.
| Author | : Michael Tsamparlis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 605 |
| Release | : 2010-05-17 |
| Genre | : Science |
| ISBN | : 3642038379 |
Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.
| Author | : Michael Tsamparlis |
| Publisher | : Springer Nature |
| Total Pages | : 492 |
| Release | : |
| Genre | : |
| ISBN | : 3031317068 |
| Author | : Andrea Macchi |
| Publisher | : Springer Nature |
| Total Pages | : 587 |
| Release | : 2023-05-29 |
| Genre | : Science |
| ISBN | : 3031222350 |
This second edition adds 46 new problems, for a total of 203. The solutions to certain “old” problems have been revised for improved clarity, in response to questions and comments from our students (second-year students in the Master’s in Physics program). Each problem is given a title indicating its relation to the various areas of physics or technology. By tackling the problems presented here, students are gently introduced to advanced topics such as unipolar and homopolar motors, magnetic monopoles, radiation pressure, angular momentum of light, bulk and surface plasmons, and radiation friction. We also address a number of tricky concepts and apparent ambiguities and paradoxes encountered in the classical theory of electromagnetism, with a particular focus on conservation laws and transformation properties between different frames of reference. At the same time, the book can be used as an introduction to applications of classical electromagnetism including cutting-edge topics like plasmonics, metamaterials, and light-driven propulsion. While unnecessary mathematical complexity is avoided, the new edition also provides a few introductory examples concerning elegant and powerful solution techniques. Hopefully the second edition offers an even better teaching tool for undergraduates in physics, mathematics, and electric engineering, and a valuable reference guide for students planning to work in optics, material science, electronics, and plasma physics.
| Author | : Somnath Datta |
| Publisher | : World Scientific |
| Total Pages | : 384 |
| Release | : 2021-03-02 |
| Genre | : Science |
| ISBN | : 9811228132 |
This book takes the reader from the preliminary ideas of the Special Theory of Relativity (STR) to the doorsteps of the General Theory of Relativity (GTR).The first part explains the main concepts in a layman's language, including STR, the Lorentz transformation, relativistic mechanics. Thereafter the concept of tensors is built up in detail, especially Maxwell's stress tensor with illustrative examples, culminating in the energy-momentum conservation in electromagnetic fields. Mathematical structure of Minkowski's space-time is constructed and explained graphically. The equation of motion is formulated and then illustrated by the example of relativistic rocket. The principle of covariance is explained with the covariant equations of classical electrodynamics. Finally, the book constructs the energy tensor which constitutes the source term in Einstein's field equation, which clears the passage to the GTR.In the book, the concepts of tensors are developed carefully and a large number of numerical examples taken from atomic and nuclear physics. The graphs of important equations are included. This is suitable for studies in classical electrodynamics, modern physics, and relativity.
| Author | : Ulrich E. Schrder |
| Publisher | : World Scientific |
| Total Pages | : 232 |
| Release | : 1990-01-01 |
| Genre | : Science |
| ISBN | : 9789810201326 |
This book provides a thorough discussion of the concepts and main consequences of special relativity. Treated in detail are the Lorentz transformations, their kinematical consequences (the so-called paradoxes), relativistic mechanics, electrodynamics as an example of a relativistic field theory, and the principal features of relativistic hydrodynamics. The book offers a logical development of special relativity from Einstein's principle of relativity alone; arrives at the essential statements of the theory by a direct approach ? this emphasis is different from that of most books; and offers a concise introduction to tensor calculus as needed in special relativity. A selection of problems and documentation of the experimental tests of special relativity are given.
| Author | : B. H. Chirgwin |
| Publisher | : Elsevier |
| Total Pages | : 253 |
| Release | : 2013-10-22 |
| Genre | : Science |
| ISBN | : 148313931X |
Magnetic Fields, Special Relativity and Potential Theory is an introduction to electromagnetism, special relativity, and potential theory, with emphasis on the magnetic field of steady currents (magnetostatics). Topics covered range from the origin of the magnetic field and the magnetostatic scalar potential to magnetization, electromagnetic induction and magnetic energy, and the displacement current and Maxwell's equations. This volume is comprised of five chapters and begins with an overview of magnetostatics, followed by a chapter on the methods of solving potential problems drawn from electrostatics, magnetism, current flow, and gravitation. Relaxing the constraint of stationary steady currents, the next chapter considers electromagnetic induction when the current strengths in closed circuits vary or when the circuits move. This leads to the necessity of assessing the breakdown of Newtonian ideas and the introduction of special relativity. When the constraint of closed circuits is further relaxed and the motion of charges in open circuits is taken into account, the discussion turns to displacement current because of the relativistic theory already set up, leading to Maxwell's equations. This book will be a valuable resource for undergraduate students of physics.
| Author | : Daniel Radu |
| Publisher | : CRC Press |
| Total Pages | : 540 |
| Release | : 2023-11-23 |
| Genre | : Science |
| ISBN | : 1000997529 |
This book is intended for undergraduate and graduate students in physics, engineering, astronomy, applied mathematics and for researchers working in related subjects. It is an excellent study tool for those students who would like to work independently on more electrodynamics problems in order to deepen their understanding and problem solving skills. The book discusses main concepts and techniques related to Maxwell's equations, potentials and fields (including Liénard-Wiechert potentials), electromagnetic waves, and the interaction and dynamics of charged point particles. It also includes content on magnetohydrodynamics and plasma, radiation and antennas, special relativity, relativistic kinematics, relativistic dynamics and relativistic-covariant dynamics and general theory of relativity. It contains a wide range of problems, ranging from electrostatics and magnetostatics to the study of the stability of dynamical systems, field theories and black hole orbiting. The book even contains interdisciplinary problems from the fields of electronics, elementary particle theory, antenna design. Detailed, step-by step calculations are presented, meeting the need for a thorough understanding of the reasoning and steps of the calculations by all students, regardless of their level of training. Additionally, numerical solutions are also proposed and accompanied by adjacent graphical representations and even multiple methods of solving the same problem. It is structured in a coherent and unified way, having a deep didactic character, being thus oriented towards a university environment, where the transmission of knowledge in a logical, unified and coherent way is essential. It teaches students how to think about and how to approach solving electrodynamics problems. - Contains a wide range of problems and applications from the fields of electrodynamics and the theory of special relativity. - Presents numerical solutions to problems involving nonlinearities. - Details command lines specific to Mathematica software dedicated to both analytical and numerical calculations, which allows readers to obtain the numerical solutions as well as the related graphical representations.
