A First Course On Symmetry Special Relativity And Quantum Mechanics
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A First Course On Symmetry Special Relativity And Quantum Mechanics
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Author : Gabor Kunstatter
language : en
Publisher: Springer Nature
Release Date : 2022-02-18
A First Course On Symmetry Special Relativity And Quantum Mechanics written by Gabor Kunstatter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Science categories.
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.
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.
Mathematics And Education In An Ai Era
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Author : Dragana Martinovic
language : en
Publisher: Springer Nature
Release Date : 2025-04-25
Mathematics And Education In An Ai Era written by Dragana Martinovic and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-25 with Education categories.
This book focuses on the potential contributions of Artificial Intelligence (AI) for enhancing mathematics education. It includes rationales for an AI-oriented pedagogical model, such as interdisciplinarity and even sensitivity to crucial world issues, such as climate change. The chapters in this book highlight what the new age of mathematics education entails concretely, covering themes from the utilization of AI directly into classroom pedagogy and the semiotic consequences of what this entails, to how mathematics training can be tailored to get students to relate concretely to problems of climate change, and to understand the relevance of the differences between symmetry and asymmetry as psychological constructs. The overall picture we can glean from these chapters is not mere eclecticism, but an integration of disciplinary perspectives into a holistic framework that has great relevance and resonance for mathematics education in the age of AI.
Relativity Groups Particles
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Author : Roman U. Sexl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Relativity Groups Particles written by Roman U. Sexl 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 2012-12-06 with Science categories.
Like many textbooks, the present one is the outgrowth of lecture courses, mainly given at the University of Vienna, Austria; on the occasion of the English edition, it may be mentioned that our first such lecture course was delivered by my late co author, Roman U. Sexl, during the fall and winter term 1967-68 in the USA-more precisely, at the University of Georgia (Athens). Since then, Particle Physics has seen spectacular revolutions; but its relativistic symmetry has never been shaken. On the other hand, new technological developments have enabled applications like the GPS (Global Positioning System) that, in a sense, brought Relativity to the domain of everyday use. The purpose of the lecture courses, and thus of the book, is to fill a gap that the authors feel exists between the way Relativity is presented in introductory courses on mechanics and/or electrodynamics on the one hand and the way relativistic symmetry is presented in particle physics and field theory courses on the other. The reason for the gap is a natural one: too many other themes have to be addressed in the introductory courses, and too many applications are impatiently waiting for their presentation in the particle and field theory courses.
Symmetry And Quantum Mechanics
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Author : Scott Corry
language : en
Publisher: CRC Press
Release Date : 2016-11-25
Symmetry And Quantum Mechanics written by Scott Corry and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-25 with Mathematics categories.
Structured as a dialogue between a mathematician and a physicist, Symmetry and Quantum Mechanics unites the mathematical topics of this field into a compelling and physically-motivated narrative that focuses on the central role of symmetry. Aimed at advanced undergraduate and beginning graduate students in mathematics with only a minimal background in physics, this title is also useful to physicists seeking a mathematical introduction to the subject. Part I focuses on spin, and covers such topics as Lie groups and algebras, while part II offers an account of position and momentum in the context of the representation theory of the Heisenberg group, along the way providing an informal discussion of fundamental concepts from analysis such as self-adjoint operators on Hilbert space and the Stone-von Neumann Theorem. Mathematical theory is applied to physical examples such as spin-precession in a magnetic field, the harmonic oscillator, the infinite spherical well, and the hydrogen atom.
Information Consciousness Reality
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Author : James B. Glattfelder
language : en
Publisher: Springer
Release Date : 2019-04-10
Information Consciousness Reality written by James B. Glattfelder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-10 with Science categories.
This open access book chronicles the rise of a new scientific paradigm offering novel insights into the age-old enigmas of existence. Over 300 years ago, the human mind discovered the machine code of reality: mathematics. By utilizing abstract thought systems, humans began to decode the workings of the cosmos. From this understanding, the current scientific paradigm emerged, ultimately discovering the gift of technology. Today, however, our island of knowledge is surrounded by ever longer shores of ignorance. Science appears to have hit a dead end when confronted with the nature of reality and consciousness. In this fascinating and accessible volume, James Glattfelder explores a radical paradigm shift uncovering the ontology of reality. It is found to be information-theoretic and participatory, yielding a computational and programmable universe.
Symmetries In Quantum Mechanics
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Author : M Chaichian
language : en
Publisher: CRC Press
Release Date : 2023-07-21
Symmetries In Quantum Mechanics written by M Chaichian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-21 with Science categories.
Symmetries in Quantum Mechanics: From Angular Momentum to Supersymmetry (PBK) provides a thorough, didactic exposition of the role of symmetry, particularly rotational symmetry, in quantum mechanics. The bulk of the book covers the description of rotations (geometrically and group-theoretically) and their representations, and the quantum theory of angular momentum. Later chapters introduce more advanced topics such as relativistic theory, supersymmetry, anyons, fractional spin, and statistics. With clear, in-depth explanations, the book is ideal for use as a course text for postgraduate and advanced undergraduate students in physics and those specializing in theoretical physics. It is also useful for researchers looking for an accessible introduction to this important area of quantum theory.
Physics From Symmetry
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Author : Jakob Schwichtenberg
language : en
Publisher: Springer
Release Date : 2017-12-01
Physics From Symmetry written by Jakob Schwichtenberg and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-01 with Science categories.
This is a textbook that derives the fundamental theories of physics from symmetry. It starts by introducing, in a completely self-contained way, all mathematical tools needed to use symmetry ideas in physics. Thereafter, these tools are put into action and by using symmetry constraints, the fundamental equations of Quantum Mechanics, Quantum Field Theory, Electromagnetism, and Classical Mechanics are derived. As a result, the reader is able to understand the basic assumptions behind, and the connections between the modern theories of physics. The book concludes with first applications of the previously derived equations. Thanks to the input of readers from around the world, this second edition has been purged of typographical errors and also contains several revised sections with improved explanations.
Particle Physics In The Lhc Era
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Author : Giles Barr
language : en
Publisher: Oxford University Press
Release Date : 2016
Particle Physics In The Lhc Era written by Giles Barr 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 2016 with Science categories.
A core text for advanced undergraduate courses in particle physics. This book covers the required mathematical and theoretical tools required for understanding the Standard Model of particle physics. It explains the accelerator and detector physics which are needed for the experiments that underpin the Standard Model.
Introductory Quantum Physics And Relativity Second Edition
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Author : Jacob Dunningham
language : en
Publisher: World Scientific
Release Date : 2018-04-05
Introductory Quantum Physics And Relativity Second Edition written by Jacob Dunningham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-05 with Science categories.
'The authors have done an exceptional job. It’s probably more accurate to describe this text as an introduction to both non-relativistic and relativistic quantum mechanics … This book was a lot of fun to read and digest. I definitely recommend it for instructors, but also for students who have already been exposed to quantum mechanics.'Contemporary PhysicsThis book is a revised and updated version of Introductory Quantum Physics and Relativity. Based on lectures given as part of the undergraduate degree programme at the University of Leeds, it has been extended in line with recent developments in the field. The book contains all the material required for quantum physics and relativity in the first three years of a traditional physics degree, in addition to more interesting and up-to-date extensions and applications which include quantum field theory, entanglement, and quantum information science.The second edition is unique as an undergraduate textbook as it combines quantum physics and relativity at an introductory level. It expounds the foundations of these two subjects in detail, but also illustrates how they can be combined. It discusses recent applications, but also exposes undergraduates to cutting-edge research topics, such as laser cooling, Bose-Einstein condensation, tunneling microscopes, lasers, nonlocality, and quantum teleportation.