Описание: Concentrates 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.
Автор: Puri Название: Non-Relativistic Quantum Mechanics ISBN: 1107164362 ISBN-13(EAN): 9781107164369 Издательство: Cambridge Academ Рейтинг: Цена: 7597 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops and simplifies the concept of quantum mechanics based on the postulates of quantum mechanics. The text discusses the technique of disentangling the exponential of a sum of operators, closed under the operation of commutation, as the product of exponentials to simplify calculations of harmonic oscillator and angular momentum. Based on its singularity structure, the Schrodinger equation for various continuous potentials is solved in terms of the hypergeometric or the confluent hypergeometric functions. The forms of the potentials for which the one-dimensional Schrodinger equation is exactly solvable are derived in detail. The problem of identifying the states of two-level systems which have no classical analogy is addressed by going beyond Bell-like inequalities and separability. The measures of quantumness of mutual information in two two-level systems is also covered in detail.
Автор: Lam, Kai S. Название: Non-relativistic quantum theory ISBN: 9814271799 ISBN-13(EAN): 9789814271790 Издательство: World Scientific Publishing Рейтинг: Цена: 9836 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Offers an introduction to the main ingredients of the fundamentals of quantum theory. This book provides students with an overview of key elements of the theory, as well as a preparation in calculational techniques. It is suitable for physics students at the advanced undergraduate and beginning graduate levels.
Автор: Wachter, Armin Название: Relativistic quantum mechanics ISBN: 904813644X ISBN-13(EAN): 9789048136445 Издательство: Springer Рейтинг: Цена: 8410 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: * Which problems do arise within relativistic enhancements of the Schr?dinger theory, especially if one adheres to the usual one-particle interpretation? * To what extent can these problems be overcome? * What is the physical necessity of quantum field theories? In many textbooks, only insufficient answers to these fundamental questions are provided by treating the relativistic quantum mechanical one-particle concept very superficially and instead introducing field quantization as soon as possible. By contrast, this book emphasizes particularly this point of view (relativistic quantum mechanics in the ''narrow sense''): it extensively discusses the relativistic one-particle view and reveals its problems and limitations, therefore illustrating the necessity of quantized fields in a physically comprehensible way. The first two chapters contain a detailed presentation and comparison of the Klein-Gordon and Dirac theory, always with a view to the non-relativistic theory. In the third chapter, we consider relativistic scattering processes and develop the Feynman rules from propagator techniques. This is where the indispensability of quantum field theory reasoning becomes apparent and basic quantum field theory concepts are introduced. This textbook addresses undergraduate and graduate Physics students who are interested in a clearly arranged and structured presentation of relativistic quantum mechanics in the narrow sense and its connection to quantum field theories. Each section contains a short summary and exercises with solutions. A mathematical appendix rounds out this excellent textbook on relativistic quantum mechanics.
Автор: Cabibbo Название: Relativistic Quantum Mechanics ISBN: 149872230X ISBN-13(EAN): 9781498722308 Издательство: Taylor&Francis Рейтинг: Цена: 6896 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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 previous courses in classical mechanics, relativity, and quantum mechanics. The introductory chapters of the book summarize the theory of special relativity and its application to the classical description of the motion of a free particle and a field. The authors then explain the quantum formulation of field theory through the simple example of a scalar field described by the Klein–Gordon equation as well as its extension to the case of spin ? particles described by the Dirac equation. They also present the elements necessary for constructing the foundational theories of the standard model of electroweak interactions, namely quantum electrodynamics and the Fermi theory of neutron beta decay. Many applications to quantum electrodynamics and weak interaction processes are thoroughly analyzed. The book also explores the timely topic of neutrino oscillations. Logically progressing from the fundamentals to recent discoveries, this textbook provides students with the essential foundation to study more advanced theoretical physics and elementary particle physics. It will help them understand the theory of electroweak interactions and gauge theories. View the second book in this collection: Electroweak Interactions.
Автор: Pilkuhn Название: Relativistic Quantum Mechanics ISBN: 3540255028 ISBN-13(EAN): 9783540255024 Издательство: Springer Рейтинг: Цена: 6552 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 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 as well as classical relativistic mechanics appear as special cases. They are the sources of familiar names such as "orbital angular momentum", "spin-orbit coupling" and "magnetic moment" for operators of the relativistic quantum formalism. The theory of binaries, in terms of differential equations, is treated for the first time in this book. These have the mathematical structure of the corresponding one-body equations (Klein-Gordon for two spinless particles, Dirac for two spinor particles) with a relativistically reduced mass. They allow the calculation of radiative corrections via the vector potential operator. This second edition of the successful textbook adds various new sections on relativistic quantum chemistry and on the relativistic treatment of the proton in hydrogen. Others chapters have been expanded, e.g. on hyperfinite interactions, or carefully revisited.
Описание: Many molecular electronic structure studies are performed within non-relativistic quantum mechanics, although there has been a recognition of the importance of relativistic effects of molecules. This work descibes theoretical and computational apparatus for a relativistic quantum chemisty.
Автор: Bjorken Название: Relativistic quantum mechanics ISBN: 0072320028 ISBN-13(EAN): 9780072320022 Издательство: Amazon Internet Рейтинг: Цена: 6688 р. Наличие на складе: Невозможна поставка.
Описание: In this text the authors develop a propagator theory of Dirac particles, photons, and Klein-Gordon mesons and per- form a series of calculations designed to illustrate various useful techniques and concepts in electromagnetic, weak, and strong interactions. these include defining and implementing the renormalization program and evaluating effects of radia- tive corrections, such as the Lamb shift, in low-order calculations. The necessary background for the book is pro- vided by a course in nonrelativistic quantum mechanics at the general level of Schiff's text, QUANTUM MECHANICS.
Автор: Hartmut Pilkuhn Название: Relativistic Quantum Mechanics ISBN: 1402086318 ISBN-13(EAN): 9781402086311 Издательство: Springer Рейтинг: Цена: 7008 р. Наличие на складе: Поставка под заказ.
Описание: Covers a number of applications of quantum mechanics including their relativistic generalization and quantum chemistry. This book uses the relativistic equations to explain various corrections to quantum mechanics leading to measurable effects. It is suitable for researchers and graduate students in quantum mechanics and quantum field theory.
Описание: Kinetic Theory: Classical, Quantum, and Relativistic Descriptions goes beyond the scope of other works in the field with its thorough treatment of applications in a wide variety of disciplines. Its clear exposition and emphasis on concrete examples will make it not only an excellent graduate text but also a valuable resource for researchers in such disciplines as aerospace, mechanical, and chemical engineering; astrophysics, solid state and laser physics and devices, plasma physics, and controlled and thermonuclear fusion.Among the topics covered are:- The Liouville equation and analyses of the Liouville equation, including two independent derivations - The Boltzmann equation and Boltzmann's H-theorem - Analysis of the linearized collision operator- Fluid dynamics and irreversibility- Assorted kinetic equations with applications to plasmas and neutral fluids- Elements of quantum kinetic theory, including the Green's-function formalism and the Wigner-Moyal equation- Relativistic kinetic theory and Lorentz invariants- Kinetic properties of metals and amorphous media- Monte-Carlo analysis in kinetic theory- Kinetic study of shock wavesThis third revised edition features a new section on constants of motion and symmetry and a new appendix on the Lorentz-Legendre expansion.Each chapter concludes with a variety of problems, many of which provide self-contained descriptions of related topics; lists of such "topical problems" are included in the Table of Contents. Numerous appendices supply vector formulas and tensor notation, properties of special functions, physical constants, references, and a historical time chart.
Описание: Relativistic quantum electrodynamics, which describes the electromagneticinteractions of electrons and atomic nuclei, provides the basis for modelling the electronic structure of atoms, molecules and solids and of their interactions with photons and other projectiles. The theory underlying the widely used GRASP relativistic atomic structure program, the DARC electron-atom scattering code and the new BERTHA relativistic molecular structure program is presented in depth, together with computational aspects relevant to practical calculations. Along with an understanding of the physics and mathematics, the reader will gain some idea of how to use these programs to predict energy levels, ionization energies, electron affinities, transition probabilities, hyperfine effects and other properties of atoms and molecules.