The Physical And Mathematical Foundations Of The Theory Of Relativity
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The Physical And Mathematical Foundations Of The Theory Of Relativity
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Author : Antonio Romano
language : en
Publisher: Springer Nature
Release Date : 2019-09-25
The Physical And Mathematical Foundations Of The Theory Of Relativity written by Antonio Romano and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Science categories.
This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.
A Mathematical Journey To Relativity
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Author : Wladimir-Georges Boskoff
language : en
Publisher: Springer Nature
Release Date : 2024-05-06
A Mathematical Journey To Relativity written by Wladimir-Georges Boskoff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-06 with Science categories.
The 2nd edition of this textbook features more than 100 pages of new material, including four new chapters, as well as an improved discussion of differential geometry concepts and their applications. The textbook aims to provide a comprehensive geometric description of Special and General Relativity, starting from basic Euclidean geometry to more advanced non-Euclidean geometry and differential geometry. Readers will learn about the Schwarzschild metric, the relativistic trajectory of planets, the deflection of light, the black holes, and the cosmological solutions like de Sitter, Friedman-Lemaître-Robertson-Walker, and Gödel ones, as well as the implications of each of them for the observed physical world. In addition, the book provides step-by-step solutions to problems and exercises, making it an ideal introduction for undergraduate students and readers looking to gain a better understanding of Special and General Relativity. In this new edition, a wide discussion on metric-affine theories of gravity and equivalent formulations of General Relativity is reported. The aim is presenting also topics which could be useful for PhD students and researchers studying General Relativity from an advanced point of view.
Linear Algebra And Group Theory For Physicists And Engineers
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Author : Yair Shapira
language : en
Publisher: Springer Nature
Release Date : 2023-01-16
Linear Algebra And Group Theory For Physicists And Engineers written by Yair Shapira and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-16 with Mathematics categories.
This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics. It is mostly self-contained—readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline. The second edition has been revised and updated throughout and includes new material on the Jordan form, the Hermitian matrix and its eigenbasis, and applications in numerical relativity and electromagnetics.
Seven Fundamental Concepts In Spacetime Physics
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Author : Vesselin Petkov
language : en
Publisher: Springer Nature
Release Date : 2024-01-12
Seven Fundamental Concepts In Spacetime Physics written by Vesselin Petkov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-12 with Science categories.
The book presents seven fundamental concepts in spacetime physics mostly by following Hermann Minkowski’s revolutionary ideas summarized in his 1908 lecture "Space and Time." These concepts are: spacetime, inertial and accelerated motion in spacetime physics, the origin and nature of inertia in spacetime physics, relativistic mass, gravitation, gravitational waves, and black holes. They have been selected because they appear to be causing most misconceptions and confusion in spacetime physics. This second edition has been revised to include additional clarifications, more detailed elaboration of the arguments and also new material published in the interim.
Mathematical Foundations Of Quantum Theory
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Author : A.R. Marlow
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Mathematical Foundations Of Quantum Theory written by A.R. Marlow and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Mathematical Foundations of Quantum Theory is a collection of papers presented at the 1977 conference on the Mathematical Foundations of Quantum Theory, held in New Orleans. The contributors present their topics from a wide variety of backgrounds and specialization, but all shared a common interest in answering quantum issues. Organized into 20 chapters, this book's opening chapters establish a sound mathematical basis for quantum theory and a mode of observation in the double slit experiment. This book then describes the Lorentz particle system and other mathematical structures with which fundamental quantum theory must deal, and then some unsolved problems in the quantum logic approach to the foundations of quantum mechanics are considered. Considerable chapters cover topics on manuals and logics for quantum mechanics. This book also examines the problems in quantum logic, and then presents examples of their interpretation and relevance to nonclassical logic and statistics. The accommodation of conventional Fermi-Dirac and Bose-Einstein statistics in quantum mechanics or quantum field theory is illustrated. The final chapters of the book present a system of axioms for nonrelativistic quantum mechanics, with particular emphasis on the role of density operators as states. Specific connections of this theory with other formulations of quantum theory are also considered. These chapters also deal with the determination of the state of an elementary quantum mechanical system by the associated position and momentum distribution. This book is of value to physicists, mathematicians, and researchers who are interested in quantum theory.
An Introduction To Covariant Quantum Mechanics
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Author : Josef Janyška
language : en
Publisher: Springer Nature
Release Date : 2022-04-06
An Introduction To Covariant Quantum Mechanics written by Josef Janyška and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-06 with Science categories.
This book deals with an original contribution to the hypothetical missing link unifying the two fundamental branches of physics born in the twentieth century, General Relativity and Quantum Mechanics. Namely, the book is devoted to a review of a "covariant approach" to Quantum Mechanics, along with several improvements and new results with respect to the previous related literature. The first part of the book deals with a covariant formulation of Galilean Classical Mechanics, which stands as a suitable background for covariant Quantum Mechanics. The second part deals with an introduction to covariant Quantum Mechanics. Further, in order to show how the presented covariant approach works in the framework of standard Classical Mechanics and standard Quantum Mechanics, the third part provides a detailed analysis of the standard Galilean space-time, along with three dynamical classical and quantum examples. The appendix accounts for several non-standard mathematical methods widely used in the body of the book.
Set Theory And Its Applications In Physics And Computing
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Author : Yair Shapira
language : en
Publisher: World Scientific
Release Date : 2022-06-24
Set Theory And Its Applications In Physics And Computing written by Yair Shapira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-24 with Science categories.
Why learn set theory? This book provides the answer — it is interesting, and also useful! Taking a new approach and looking from a fresh perspective, the discussion flows in a friendly and transparent way, supplemented with a lot of examples and figures. This makes the theory easily comprehensible: the proofs get vivid and visual, enveloped with interesting applications for students in (applied) math, physics, and engineering. Given the theory and the applications, the book could serve as a textbook in four (undergraduate) math courses: Introduction to set theory and its application; Chaos theory and stability — a geometrical point of view; Functional analysis — Han-Banach theory; and Cryptography with quantum computing. It teaches set theory from the basics, including the axiom of choice, the well ordering theorem, and Zorn's lemma. Furthermore, it uses Cantor's set to introduce chaos theory from a geometrical point of view. Moreover, it introduces the binomial formula (and other related formulas), and uses them in quantum statistical mechanics. And finally, it uses Zorn's lemma in functional analysis, general relativity, and quantum mechanics. There are also practical applications in cryptography, error correction, quantum computing and programming.
Human And The 4th Dimension Volume 1
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Author : Prof. Dr. Bilal Semih Bozdemir
language : en
Publisher: Prof. Dr. Bilal Semih Bozdemir
Release Date :
Human And The 4th Dimension Volume 1 written by Prof. Dr. Bilal Semih Bozdemir and has been published by Prof. Dr. Bilal Semih Bozdemir this book supported file pdf, txt, epub, kindle and other format this book has been release on with Art categories.
Human and the 4th Dimension The mystery of time Linear vs. non-linear perception of time Objective vs. subjective time The arrow of time Einstein's theory of relativity Time dilation and length contraction The space-time continuum Black holes and time travel The grandfather paradox Quantum entanglement and the nature of time Consciousness and the experience of time Altered states of consciousness and time perception The human brain and time processing Chronobiology and circadian rhythms Biological clocks and the 24-hour cycle Sleep, dreams, and the perception of time Aging and the subjective experience of time The psychology of waiting and time estimation Cultural and linguistic differences in time perception Monochronic vs. polychronic time orientation The value of time and time management Time scarcity and the "busy" epidemic Mindfulness and the present moment Procrastination and the distortion of time Nostalgia and the selective memory of time The role of technology in shaping time perception Digital disruption and the acceleration of time The need for work-life balance in a fast-paced world The future of time: AI, automation, and the human experience Ethical considerations in the manipulation of time The universality and uniqueness of the human experience of time Exploring the metaphysical and spiritual dimensions of time Conclusion: Embracing the 4th dimension of human existence
Classical And Quantum Mechanics With Lie Algebras
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Author : Yair Shapira
language : en
Publisher: World Scientific
Release Date : 2021-07-19
Classical And Quantum Mechanics With Lie Algebras written by Yair Shapira and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-19 with Science categories.
How to see physics in its full picture? This book offers a new approach: start from math, in its simple and elegant tools: discrete math, geometry, and algebra, avoiding heavy analysis that might obscure the true picture. This will get you ready to master a few fundamental topics in physics: from Newtonian mechanics, through relativity, towards quantum mechanics.Thanks to simple math, both classical and modern physics follow and make a complete vivid picture of physics. This is an original and unified point of view to highlighting physics from a fresh pedagogical angle.Each chapter ends with a lot of relevant exercises. The exercises are an integral part of the chapter: they teach new material and are followed by complete solutions. This is a new pedagogical style: the reader takes an active part in discovering the new material, step by step, exercise by exercise.The book could be used as a textbook in undergraduate courses such as Introduction to Newtonian mechanics and special relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras with applications in physics.
Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Johns
language : en
Publisher: Oxford University Press
Release Date : 2005-07-07
Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Johns and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-07 with Mathematics categories.
An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory.