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A First Course on Symmetry, Special Relativity and Quantum Mechanics

2020-10-19 Science
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Release : 2020-10-19
Genre : Science
Kind : eBook
Book Rating : 201/5 ( reviews)

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Book Synopsis A First Course on Symmetry, Special Relativity and Quantum Mechanics by : Gabor Kunstatter

Download or read book A First Course on Symmetry, Special Relativity and Quantum Mechanics written by Gabor Kunstatter. This book was released on 2020-10-19. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student.

Symmetry in Special and General Relativity

2020-01-21 Science
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Release : 2020-01-21
Genre : Science
Kind : eBook
Book Rating : 945/5 ( reviews)

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Book Synopsis Symmetry in Special and General Relativity by : Jay Tasson

Download or read book Symmetry in Special and General Relativity written by Jay Tasson. This book was released on 2020-01-21. Available in PDF, EPUB and Kindle. Book excerpt: The development of special and general relativity has relied significantly on ideas of symmetry. Similarly, modern efforts to test these theories have often sought either violations or extensions of the symmetries seen, and symmetry is regularly used a tool in seeking new applications. In this Special Issue of symmetry, we explore some contemporary research related to symmetry in special and general relativity.

Symmetry in Special and General Relativity

2020 Physics
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Release : 2020
Genre : Physics
Kind : eBook
Book Rating : 957/5 ( reviews)

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Book Synopsis Symmetry in Special and General Relativity by : Jay Tasson

Download or read book Symmetry in Special and General Relativity written by Jay Tasson. This book was released on 2020. Available in PDF, EPUB and Kindle. Book excerpt: The development of special and general relativity has relied significantly on ideas of symmetry. Similarly, modern efforts to test these theories have often sought either violations or extensions of the symmetries seen, and symmetry is regularly used a tool in seeking new applications. In this Special Issue of symmetry, we explore some contemporary research related to symmetry in special and general relativity.

Relativity, Groups, Particles

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 343/5 ( reviews)

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Book Synopsis Relativity, Groups, Particles by : Roman U. Sexl

Download or read book Relativity, Groups, Particles written by Roman U. Sexl. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This textbook bridges the gap between the level of introductory courses on mechanics and electrodynamics and the level of application in high energy physics and quantum field theory. After explaining the postulates that lead to the Lorentz transformation and after going through the main points special relativity has to make in classical mechanics and electrodynamics, the authors gradually lead the reader up to a more abstract point of view on relativistic symmetry - illustrated by physical examples - until finally motivating and developing Wigner's classification of the unitary irreducible representations of the inhomogeneous Lorentz group. Numerous historical and mathematical asides contribute to the conceptual clarification.

Einstein's Relativity and Beyond

2000 Science
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Release : 2000
Genre : Science
Kind : eBook
Book Rating : 886/5 ( reviews)

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Book Synopsis Einstein's Relativity and Beyond by : Jong-Ping Hsu

Download or read book Einstein's Relativity and Beyond written by Jong-Ping Hsu. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: The purposes of this book are (1) to explore and expound relativity physics and four-dimensional symmetry from the logically simplest viewpoint by making one single postulate instead of two; and (2) to indicate the simplest generalization of the Lorentz transformation in order to cope with frames with constant linear accelerations. The fundamentally new ideas of the first purpose are developed on the basis of the term paper of a Harvard physics undergraduate. They lead to an unexpected affirmative answer to the long-standing question of whether it is possible to construct a relativity theory without postulating the constancy of the speed of light and retaining only the first postulate of special relativity. This question was discussed in the early years following the discovery of special relativity by many physicists, including Ritz, Tolman, Kunz, Comstock and Pauli, all of whom obtained negative answers. Furthermore, the new theory of relativity indicates the truly universal and fundamental constants in physics, and provides a broad view of relativistic physics beyond special relativity. It substantiates the view and sheds light on the understanding that the four-dimensional symmetry framework can accommodate many different concepts of physical time, including common time and Reichenbach's general concept of time. This logically simplest viewpoint of relativity allows a natural extension of the physics of particles and fields from inertial frames to noninertial frames in which the speed of light is not constant. New predictions in physics resulting from this new viewpoint are discussed. The book is based on papers by the author and his collaborators in Physics Letters A, Nuovo Cimento B, and Physical Review A and D.

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