Relativistic Quantum Mechanics
Relativistic Quantum Mechanics

Author: Walter Greiner

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 439

ISBN-13: 3662034255

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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.

Exact Solutions of Relativistic Wave Equations
Exact Solutions of Relativistic Wave Equations

Author: V.G. Bagrov

Publisher: Springer Science & Business Media

Published: 1990-02-28

Total Pages: 342

ISBN-13: 9780792302155

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'Et moi * .... si favait su comment en revenir. One service mathematics bllS rendered the je n'y serais point aile.' human race. It hal put common sense back Jules Verne where it bdongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense', able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thOUght. A highly necessary tool in a world where both feedback and non­ Iinearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Relativistic Wave Equations and the Equations of Motion
Relativistic Wave Equations and the Equations of Motion

Author: John Sanders

Publisher:

Published: 1964

Total Pages: 40

ISBN-13:

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"Many theories have been advanced which avoid the difficulties of the Maxwell Electrodynamics; most of these have been quite successful classically, but present difficulties upon quantization. The theory that will be discussed here is a linear one which is closely related to those of Feynman (1) and Lehmann (2), and which is perhaps more easily adaptable to a quantum theory than to a classical one. [...]" --

Relativistic Wave Mechanics
Relativistic Wave Mechanics

Author: E. Corinaldesi

Publisher: Courier Dover Publications

Published: 2015-06-16

Total Pages: 324

ISBN-13: 0486805735

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Geared toward advanced undergraduate and graduate students of physics, this text provides readers with a background in relativistic wave mechanics and prepares them for the study of field theory. The treatment originated as a series of lectures from a course on advanced quantum mechanics that has been further amplified by student contributions. An introductory section related to particles and wave functions precedes the three-part treatment. An examination of particles of spin zero follows, addressing wave equation, Lagrangian formalism, physical quantities as mean values, translation and rotation operators, spin zero particles in electromagnetic field, pi-mesic atoms, and discontinuous transformations. The second section explores particles of spin one-half in terms of spin operators, the Weyl and Dirac equations, constants of motion, plane wave solutions and invariance properties of the Dirac equation, the Dirac equation for a charged particle in an electromagnetic field, non-relativistic limit of the Dirac equation, and Dirac particle in a central electrostatic field. The final section, on collision and radiation processes, covers time-independent scattering of a spinless particle, non-relativistic steady-state scattering of a particle of spin one-half, time-independent scattering of Dirac particles, non-relativistic time-dependent scattering theory, emission and absorption of electromagnetic radiation, and time-dependent relativistic scattering theory.

The Dirac Equation and its Solutions
The Dirac Equation and its Solutions

Author: Vladislav G. Bagrov

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2014-08-20

Total Pages: 557

ISBN-13: 3110377756

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The Dirac equation is of fundamental importance for relativistic quantum mechanics and quantum electrodynamics. In relativistic quantum mechanics, the Dirac equation is referred to as one-particle wave equation of motion for electron in an external electromagnetic field. In quantum electrodynamics, exact solutions of this equation are needed to treat the interaction between the electron and the external field exactly. In this monograph, all propagators of a particle, i.e., the various Green's functions, are constructed in a certain way by using exact solutions of the Dirac equation.

Advanced Quantum Mechanics
Advanced Quantum Mechanics

Author: Franz Schwabl

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 409

ISBN-13: 366203929X

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This book covers advanced topics in quantum mechanics, including nonrelativistic multi-particle systems, relativistic wave equations, and relativistic fields. Numerous examples for application help readers gain a thorough understanding of the subject. The presentation 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. The authors earlier book, Quantum Mechanics, was praised for its unsurpassed clarity.

Superluminal Wave Motion
Superluminal Wave Motion

Author: Waldyr A. Rodrigues, Jr

Publisher: Springer

Published: 2010-11-16

Total Pages:

ISBN-13: 9783540861539

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Several experiments performed in recent years are claimed to have demonstrated superluminal wave motion. A major aim of this book is to elucidate what is really meant and implied by superluminal wave motion – a question that has caused much confusion until now. Using modern mathematical tools, the authors demonstrate that none of the results imply any violation of the principle of relativity. They also clarify the meaning of several types of superluminal velocity that appear in quantum theory; for example, the Hegerfeldt paradox and formalism is given in sufficient detail that students will also be able to follow the arguments. It is proved that all linear relativistic wave equations of mathematical physics (Maxwell, Dirac, Weyl, the homogeneous wave equation and the Klein-Gordon equation) possess arbitrary velocities solutions, which are undistorted progressive waves.

Advanced Molecular Quantum Mechanics
Advanced Molecular Quantum Mechanics

Author: R. Moss

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 251

ISBN-13: 9400956886

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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.

Relativistic Quantum Mechanics
Relativistic Quantum Mechanics

Author: Luciano Maiani

Publisher: CRC Press

Published: 2015-11-18

Total Pages: 324

ISBN-13: 1498722318

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Written by two of the most prominent leaders in particle physics, Relativistic Quantum Mechanics: An Introduction to Relativistic Quantum Fields provides a classroom-tested introduction to the formal and conceptual foundations of quantum field theory. Designed for advanced undergraduate- and graduate-level physics students, the text only requires p

Relativistic Reality
Relativistic Reality

Author: J. D. Edmonds

Publisher: World Scientific

Published: 1997

Total Pages: 356

ISBN-13: 9789812796103

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It now appears that the old argument about Lorentz vs Galileo relativity is passing into history. The Lorentz symmetry may soon become obsolete itself just as the Galileo symmetry did about 1900. The tremendous successes of QED represent real progress in our quest to understand nature. The answer is not to go as most OC outsidersOCO but to go forward OCo beyond to new ideas and equations that will match nature even better than QED does. This book shows us a new view of relativity and quantum equations. It has new equations that extend Lorentz Maxwell and Dirac."