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Analytical Mechanics For Relativity And Quantum Mechanics


Analytical Mechanics For Relativity And Quantum Mechanics
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Analytical Mechanics For Relativity And Quantum Mechanics


Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Johns
language : en
Publisher: OUP Oxford
Release Date : 2011-05-19

Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Johns and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-19 with Science 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.



Analytical Mechanics For Relativity And Quantum Mechanics


Analytical Mechanics For Relativity And Quantum Mechanics
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Author : Oliver Davis Johns
language : en
Publisher:
Release Date : 2005

Analytical Mechanics For Relativity And Quantum Mechanics written by Oliver Davis Johns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mechanics, Analytic categories.




Relativistic Classical Mechanics And Electrodynamics


Relativistic Classical Mechanics And Electrodynamics
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Author : Martin Land
language : en
Publisher: Morgan & Claypool Publishers
Release Date : 2019-12-05

Relativistic Classical Mechanics And Electrodynamics written by Martin Land 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 2019-12-05 with Science categories.


This book presents classical relativistic mechanics and electrodynamics in the Feynman-Stueckelberg event-oriented framework formalized by Horwitz and Piron. The full apparatus of classical analytical mechanics is generalized to relativistic form by replacing Galilean covariance with manifest Lorentz covariance and introducing a coordinate-independent parameter τ to play the role of Newton's universal and monotonically advancing time. Fundamental physics is described by the τ-evolution of a system point through an unconstrained 8D phase space, with mass a dynamical quantity conserved under particular interactions. Classical gauge invariance leads to an electrodynamics derived from five τ-dependent potentials described by 5D pre-Maxwell field equations. Events trace out worldlines as τ advances monotonically, inducing pre-Maxwell fields by their motions, and moving under the influence of these fields. The dynamics are governed canonically by a scalar Hamiltonian that generates evolution of a 4D block universe defined at τ to an infinitesimally close 4D block universe defined at τ+dτ. This electrodynamics, and its extension to curved space and non-Abelian gauge symmetry, is well-posed and integrable, providing a clear resolution to grandfather paradoxes. Examples include classical Coulomb scattering, electrostatics, plane waves, radiation from a simple antenna, classical pair production, classical CPT, and dynamical solutions in weak field gravitation. This classical framework will be of interest to workers in quantum theory and general relativity, as well as those interested in the classical foundations of gauge theory.



Elements Of Classical And Quantum Physics


Elements Of Classical And Quantum Physics
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Author : Michele Cini
language : en
Publisher: Springer
Release Date : 2018-02-09

Elements Of Classical And Quantum Physics written by Michele Cini and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-09 with Science categories.


This book presents the basic elements of theoretical physics in a highly accessible, captivating way for university students in the third year of a degree in physics. It covers analytical mechanics, thermodynamics and statistical physics, special and general relativity and non-relativistic quantum theory, fully developing the necessary mathematical methods beyond standard calculus. The central theme is scientific curiosity and the main focus is on the experimental meaning of all quantities and equations. Several recent verifications of General Relativity are presented, with emphasis on the physical effects – why they were predicted to exist and what signals they were seen to produce. Similarly, the basic reasons why superconductors have zero resistance and are perfect diamagnets are pinpointed. Quantum Eraser Experiments and Delayed Choice Experiments are described. Many statements of Quantum Theory are a challenge to common sense and some crucial predictions have often been considered hard to believe and have been tested experimentally. The book examines the EPR paradox, Bell states and teleportation. To show the beauty and richness of the subject, various topics from different areas of Physics are covered. These include: discrete quantum models and lattices (periodic and not), Casimir effect, Anyons, Fano Resonances, the Hanbury Brown and Twiss effect, the Aharonov-Bohm effect, the Meitner-Auger effect, Squeezed Light, the Rabi model, neutrino oscillations, aspects of Quantum Transport, Quantum Pumping, and Berry phases, black holes and cosmological problems.



Introduction To Analytical Dynamics


Introduction To Analytical Dynamics
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Author : Nicholas Woodhouse
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-12-17

Introduction To Analytical Dynamics written by Nicholas 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 2009-12-17 with Science categories.


First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.



Unification Of Classical Quantum And Relativistic Mechanics And Of The Four Forces


Unification Of Classical Quantum And Relativistic Mechanics And Of The Four Forces
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Author : J. X. Zheng-Johansson
language : en
Publisher: Nova Publishers
Release Date : 2006

Unification Of Classical Quantum And Relativistic Mechanics And Of The Four Forces written by J. X. Zheng-Johansson and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Science categories.


In this book Drs J X Zheng-Johansson and Per-Ivar Johansson present a remarkable unification scheme. The scheme is based on an analysis of the overall experimental observations available up to today, and an observation of the unsolved problems maintained in contemporary theoretical physics, revisiting past controversies and putting them in context with contemporary physics. The unsolved problems were the agent stimulating the authors to invent a new bold unification scheme. Vacuum polarisation, with a vacuuon (a pair of strongly bound opposite-signed charges) as a free entity, gets you back to the days of the ether concept, abandoned by physics after the Michelson-Morley experiment by the end of the 19:th century. Starting from constructing the fundamental building blocks for the vacuum and material particles, the Newtonian-Maxwellian solutions the authors obtain yield insights into fundamental concepts such as vacuum, charge, and mass. For instance, can vacuum be described by a building block denoted vacuuon, with or without mass depending on pushed into motion or not? Can free charges be described as a mass-less entity? Can and how vacuum polarise? However, even if vacuum in the real Universe never polarises as proposed in this unification scheme, it may yet serve as another tool in the physics toolbox, a theoretical bridge between classical and modern physics. Physics and physical theory is a human invention, a mathematical description of the intrinsic properties of the Universe and its associated phenomena. Our understanding of the Universe is a reaction of our mind, of our way of understanding. Richard Feynman once noted about the Maxwell equations something that goes like: If a mathematical theory in physics cannot be proved by experiments it remains to be proved mathematically. Ultimately, it must be possible to test any new theory by experiments. If experimental tests are not possible we are left with a mere hypothesis based on equations. The unification scheme proposed by this work consists of a Proposition about the fundamental building blocks (ap- and n-vaculeon) and a series of Predictions from Newtonian-Maxwellian solutions based on that Proposition. The arriving at the Proposition and the Predictions, relating to classical, quantum and relativistic mechanics, is their context. The book is a challenge out of the ordinary, a challenge that deserves careful consideration.



Stochastic Quantum Mechanics And Quantum Spacetime


Stochastic Quantum Mechanics And Quantum Spacetime
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Author : Margaret Prugovecki
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stochastic Quantum Mechanics And Quantum Spacetime written by Margaret Prugovecki 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.


The principal intent of this monograph is to present in a systematic and self-con tained fashion the basic tenets, ideas and results of a framework for the consistent unification of relativity and quantum theory based on a quantum concept of spacetime, and incorporating the basic principles of the theory of stochastic spaces in combination with those of Born's reciprocity theory. In this context, by the physicial consistency of the present framework we mean that the advocated approach to relativistic quantum theory relies on a consistent probabilistic interpretation, which is proven to be a direct extrapolation of the conventional interpretation of nonrelativistic quantum mechanics. The central issue here is that we can derive conserved and relativistically convariant probability currents, which are shown to merge into their nonrelativistic counterparts in the nonrelativistic limit, and which at the same time explain the physical and mathe matical reasons behind the basic fact that no probability currents that consistently describe pointlike particle localizability exist in conventional relativistic quantum mechanics. Thus, it is not that we dispense with the concept oflocality, but rather the advanced central thesis is that the classical concept of locality based on point like localizability is inconsistent in the realm of relativistic quantum theory, and should be replaced by a concept of quantum locality based on stochastically formulated systems of covariance and related to the aforementioned currents.



Quantum Mechanics And Quantum Field Theory


Quantum Mechanics And Quantum Field Theory
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Author : Jonathan Dimock
language : en
Publisher:
Release Date : 2011

Quantum Mechanics And Quantum Field Theory written by Jonathan Dimock and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Electronic books categories.


"Explaining the concepts of quantum mechanics and quantum field theory in a precise mathematical language, this textbook is an ideal introduction for graduate students in mathematics, helping to prepare them for further studies in quantum physics. The textbook covers topics that are central to quantum physics: non-relativistic quantum mechanics, quantum statistical mechanics, relativistic quantum mechanics and quantum field theory. There is also background material on analysis, classical mechanics, relativity and probability. Each topic is explored through a statement of basic principles followed by simple examples. Around 100 problems throughout the textbook help readers develop their understanding"--



Classical Mechanics


Classical Mechanics
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Author : Matthew J. Benacquista
language : en
Publisher: Springer
Release Date : 2018-02-27

Classical Mechanics written by Matthew J. Benacquista and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-27 with Science categories.


This textbook provides an introduction to classical mechanics at a level intermediate between the typical undergraduate and advanced graduate level. This text describes the background and tools for use in the fields of modern physics, such as quantum mechanics, astrophysics, particle physics, and relativity. Students who have had basic undergraduate classical mechanics or who have a good understanding of the mathematical methods of physics will benefit from this book.



Relativistic Quantum Mechanics


Relativistic Quantum Mechanics
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Author : Lawrence P. Horwitz
language : en
Publisher: Springer
Release Date : 2015-08-04

Relativistic Quantum Mechanics written by Lawrence P. Horwitz and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-04 with Science categories.


This book describes a relativistic quantum theory developed by the author starting from the E.C.G. Stueckelberg approach proposed in the early 40s. In this framework a universal invariant evolution parameter (corresponding to the time originally postulated by Newton) is introduced to describe dynamical evolution. This theory is able to provide solutions for some of the fundamental problems encountered in early attempts to construct a relativistic quantum theory. A relativistically covariant construction is given for which particle spins and angular momenta can be combined through the usual rotation group Clebsch-Gordan coefficients. Solutions are defined for both the classical and quantum two body bound state and scattering problems. The recently developed quantum Lax-Phillips theory of semi group evolution of resonant states is described. The experiment of Lindner and coworkers on interference in time is discussed showing how the property of coherence in time provides a simple understanding of the results. The full gauge invariance of the Stueckelberg-Schroedinger equation results in a 5D generalization of the usual gauge theories. A description of this structure and some of its consequences for both Abelian and non-Abelian fields are discussed. A review of the basic foundations of relativistic classical and quantum statistical mechanics is also given. The Bekenstein-Sanders construction for imbedding Milgrom's theory of modified spacetime structure into general relativity as an alternative to dark matter is also studied.