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

DOWNLOAD EBOOK

'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 Quantum Mechanics. Wave Equations
Relativistic Quantum Mechanics. Wave Equations

Author: Walter Greiner

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 439

ISBN-13: 3662042754

DOWNLOAD EBOOK

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.

University Physics
University Physics

Author: OpenStax

Publisher:

Published: 2016-11-04

Total Pages: 622

ISBN-13: 9781680920451

DOWNLOAD EBOOK

University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.

Advanced Quantum Mechanics
Advanced Quantum Mechanics

Author: Franz Schwabl

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 412

ISBN-13: 3662054183

DOWNLOAD EBOOK

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.

The Nature of Light
The Nature of Light

Author: Chandra Roychoudhuri

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 454

ISBN-13: 1420044257

DOWNLOAD EBOOK

Focusing on the unresolved debate between Newton and Huygens from 300 years ago, The Nature of Light: What is a Photon? discusses the reality behind enigmatic photons. It explores the fundamental issues pertaining to light that still exist today. Gathering contributions from globally recognized specialists in electrodynamics and quantum optics, the book begins by clearly presenting the mainstream view of the nature of light and photons. It then provides a new and challenging scientific epistemology that explains how to overcome the prevailing paradoxes and confusions arising from the accepted definition of a photon as a monochromatic Fourier mode of the vacuum. The book concludes with an array of experiments that demonstrate the innovative thinking needed to examine the wave-particle duality of photons. Looking at photons from both mainstream and out-of-box viewpoints, this volume is sure to inspire the next generation of quantum optics scientists and engineers to go beyond the Copenhagen interpretation and formulate new conceptual ideas about light–matter interactions and substantiate them through inventive applications.

Equations of Motion in General Relativity
Equations of Motion in General Relativity

Author: Hideki Asada

Publisher: OUP Oxford

Published: 2010-12-16

Total Pages: 168

ISBN-13: 0199584109

DOWNLOAD EBOOK

Einstein's theory of general relativity describes the gravitational field of a system of stars and predicts their paths by providing the 'equations of motion' of each star. Extracting these equations from his field equations is a highly technical procedure described in this book. Observable quantities can then be calculated to test the theory.

Special Functions of Mathematical Physics
Special Functions of Mathematical Physics

Author: NIKIFOROV

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 443

ISBN-13: 1475715951

DOWNLOAD EBOOK

With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem (§3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type (§§12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics.

Relativistic Quantum Mechanics And Related Topics
Relativistic Quantum Mechanics And Related Topics

Author: Eduardo Guendelman

Publisher: World Scientific

Published: 2022-03-18

Total Pages: 211

ISBN-13: 981124877X

DOWNLOAD EBOOK

This book describes Relativistic Quantum Mechanics, starting from the free field equations for spin-zero particles and for spin-one-half particles, leading to the Klein-Gordon equation and Dirac equations. Interactions of these particles with the electromagnetic field through minimal coupling are introduced as well as other interactions between particles. It includes the calculation of the fundamental processes of Quantum Electrodynamics by means of Feynman's propagator theory, which allows for a proper treatment of diverse scattering and particle creation processes. In addition to this, a number of special topics are discussed, such as spontaneous symmetry breaking, the global and local cases, the Higgs mechanism, axion-photon interactions using techniques borrowed from scalar QED, pair creation in a strong external electric field, the two-dimensional representation of the Klein-Gordon propagator, bound states in the Greens functions approach, and the Breit equation for bound states. Also, the photon-electron interactions are treated in the context of a symmetric treatment within electrons and photons for eg. Compton scattering, pair creation and pair annihilation. Finally, non-abelian gauge theories, the Glashow-Weinberg-Salam model, some electroweak processes, and Feynman diagrams are also discussed.

Relativity Demystified
Relativity Demystified

Author: David McMahon

Publisher: McGraw Hill Professional

Published: 2005-12-23

Total Pages: 359

ISBN-13: 0071486739

DOWNLOAD EBOOK

In Relativity Demystified a physicist explains Einstein's theory of relativity in layman's terms, minus heavy-duty discussion or formal mathematics. Author David McMahon gradually builds up readers' practical skills to a point where they can eventually solve real problems in the field of general relativity. The book offers examples that vary in complexity from textbook-like problems to real-world situations from actual current research. Relativity Demystified also focused on quick definitions and demonstrations of procedures needed to solve problems.

Relativistic Quantum Mechanics
Relativistic Quantum Mechanics

Author: Paul Strange

Publisher: Cambridge University Press

Published: 1998-09-17

Total Pages: 614

ISBN-13: 9780521565837

DOWNLOAD EBOOK

This graduate text introduces relativistic quantum theory, emphasising its important applications in condensed matter physics. Relativistic quantum theory is the unification into a consistent theory of Einstein's theory of relativity and the quantum mechanics of Bohr, Schrödinger, and Heisenberg, etc. Beginning with basic theory, the book then describes essential topics. Many worked examples and exercises are included along with an extensive reference list. This clear account of a crucial topic in science will be valuable to graduates and researchers working in condensed matter physics and quantum physics.