Relativistic Quantum Mechanics Wave Equations
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Relativistic Quantum Mechanics Wave Equations
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Author : Walter Greiner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Relativistic Quantum Mechanics Wave Equations written by Walter Greiner 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 2013-03-09 with Science categories.
Relativistic Quantum Mechanics. Wave Equations concentrates mainly on the wave equations for spin-0 and spin-1/2 particles. Chapter 1 deals with the Klein-Gordon equation and its properties and applications. The chapters that follow introduce the Dirac equation, investigate its covariance properties and present various approaches to obtaining solutions. Numerous applications are discussed in detail, including the two-center Dirac equation, hole theory, CPT symmetry, Klein's paradox, and relativistic symmetry principles. Chapter 15 presents the relativistic wave equations for higher spin (Proca, Rarita-Schwinger, and Bargmann-Wigner). The extensive presentation of the mathematical tools and the 62 worked examples and problems make this a unique text for an advanced quantum mechanics course. This third edition has been slightly revised to bring the text up-to-date.
Relativistic Quantum Mechanics
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Author : Hartmut Pilkuhn
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Relativistic Quantum Mechanics written by Hartmut Pilkuhn 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 2013-06-29 with Science categories.
In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance. Nonrelativistic quantum mechanics appears as a special case, and classical relativistic mechanics as another one. These special cases are important for giving plausible names to operators, for example "orbital angular momentum", "spin" or "magnetic moment". A subject which is treated for the first time in this book is the theory of binaries in terms of differential equations which have the mathematical structure of the corresponding one-body equations (Klein--Gordon for two spin- less particles, Dirac for two spinor particles).
Wave Equations In Higher Dimensions
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Author : Shi-Hai Dong
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-09
Wave Equations In Higher Dimensions written by Shi-Hai Dong 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 2011-07-09 with Science categories.
Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader’s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics. In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.
Relativistic Quantum Mechanics Wave Equations 3e
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Author : Walter Greiner
language : en
Publisher:
Release Date : 2007-01-01
Relativistic Quantum Mechanics Wave Equations 3e written by Walter Greiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with categories.
Spin 1 2 Wave Equations In Relativistic Quantum Mechanics
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Author : Donald Stephen Staudte
language : en
Publisher:
Release Date : 1993
Spin 1 2 Wave Equations In Relativistic Quantum Mechanics written by Donald Stephen Staudte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Relativistic quantum theory categories.
Relativistic And Non Relativistic Quantum Mechanics
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Author : Luis Grave de Peralta
language : en
Publisher: Springer Nature
Release Date :
Relativistic And Non Relativistic Quantum Mechanics written by Luis Grave de Peralta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Advanced Molecular Quantum Mechanics
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Author : R. Moss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Advanced Molecular Quantum Mechanics written by R. Moss 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.
This book is primarily intended for graduate chemists and chemical physicists. Indeed, it is based on a graduate course that I give in the Chemistry Depart ment of Southampton University. Nowadays undergraduate chemistry courses usually include an introduction to quantum mechanics with particular reference to molecular properties and there are a number of excellent textbooks aimed specifically at undergraduate chemists. In valence theory and molecular spectroscopy physical concepts are often encountered that are normally taken on trust. For example, electron spin and the anomalous magnetic moment of the electron are usually accepted as postulates, although they are well understood by physicists. In addition, the advent of new techniques has led to experimental situations that can only be accounted for adequately by relatively sophisticated physical theory. Relativis tic corrections to molecular orbital energies are needed to explain X-ray photo electron spectra, while the use oflasers can give rise to multiphoton transitions, which are not easy to understand using the classical theory of radiation. Of course, the relevant equations may be extracted from the literature, but, if the underlying physics is not understood, this is a practice that is at best dissatisfy ing and at worst dangerous. One instance where great care must be taken is in the use of spectroscopically determined parameters to test the accuracy of elec tronic wave functions.
Theoretical Physics Relativistic Quantum Mechanics Wave Equations
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Author : Walter Greiner
language : en
Publisher:
Release Date : 1989
Theoretical Physics Relativistic Quantum Mechanics Wave Equations written by Walter Greiner and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematical physics categories.
Practical Quantum Electrodynamics
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Author : Douglas M. Gingrich
language : en
Publisher: CRC Press
Release Date : 2006-05-10
Practical Quantum Electrodynamics written by Douglas M. Gingrich and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-10 with Science categories.
Taking a heuristic approach to relativistic quantum mechanics, Practical Quantum Electrodynamics provides a complete introduction to the theory, methodologies, and calculations used for explaining the physical interaction of charged particles. This book combines the principles of relativity and quantum theory necessary for performing the calculations of the electromagnetic scattering of electrons and positrons and the emission and absorption of photons. Beginning with an introduction of the wave equations for spin-0 and spin-1/2 particles, the author compares and contrasts the relativistic and spin effects for both types of particles. He emphasizes how the relativistic treatment of quantum mechanics and the spin-1/2 degree of freedom are necessary to describe electromagnetic interactions involving electron scattering and points out the shortfalls of the wave-equation approach to relativistic quantum mechanics. Developing the Feynman rules for quantum electrodynamics by example, the book offers an intuitive, hands-on approach for performing fundamental calculations. It also illustrates how to perform calculations that can be related to experiments such as diagrams, lifetimes, and cross sections. Practical Quantum Electrodynamics builds a strong foundation for further studies and research in theoretical and particle physics, particularly relativistic quantum field theory or nonrelativistic many-body theory.
Advanced Quantum Mechanics
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Author : Franz Schwabl
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-08-12
Advanced Quantum Mechanics written by Franz Schwabl 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 2008-08-12 with Science categories.
Characteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.