Quantum Mechanics
Quantum Mechanics

Author: Lukong Cornelius Fai

Publisher: CRC Press

Published: 2022-06-01

Total Pages: 1404

ISBN-13: 1000590313

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This book presents an accessible treatment of non-relativistic and relativistic quantum mechanics. It is an ideal textbook for undergraduate and graduate physics students, and is also useful to researchers in theoretical physics, quantum mechanics, condensed matter, mathematical physics, quantum chemistry, and electronics. This student-friendly and self-contained textbook covers the typical topics in a core undergraduate program, as well as more advanced, graduate-level topics with an elegant mathematical rigor, contemporary style, and rejuvenated approach. It balances theory and worked examples, which reinforces readers' understanding of fundamental concepts. The analytical methods employed in this book describe physical situations with mathematical rigor and in-depth clarity, emphasizing the essential understanding of the subject matter without need for prior knowledge of classical mechanics, electromagnetic theory, atomic structure, or differential equations. Key Features: • Remains accessible but incorporates a rigorous, updated mathematical treatment • Laid out in a student-friendly structure • Balances theory with its application through examples Lukong Cornelius Fai is a professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang, Cameroon. He is Head of Condensed Matter and Nanomaterials as well as the Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science in Physics and Mathematics (1991) as well as a Doctor of Science in Physics and Mathematics (1997) from Moldova State University. He is the author of over 170 scientific publications and five textbooks.

Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry
Non-relativistic Quantum Theory: Dynamics, Symmetry And Geometry

Author: Kai S Lam

Publisher: World Scientific Publishing Company

Published: 2009-08-24

Total Pages: 458

ISBN-13: 9813107480

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This textbook is mainly for physics students at the advanced undergraduate and beginning graduate levels, especially those with a theoretical inclination. Its chief purpose is to give a systematic introduction to the main ingredients of the fundamentals of quantum theory, with special emphasis on those aspects of group theory (spacetime and permutational symmetries and group representations) and differential geometry (geometrical phases, topological quantum numbers, and Chern-Simons Theory) that are relevant in modern developments of the subject. It will provide students with an overview of key elements of the theory, as well as a solid preparation in calculational techniques.

Quantum Mechanics
Quantum Mechanics

Author: L D Landau

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 688

ISBN-13: 1483149129

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Quantum Mechanics, Third Edition: Non-relativistic Theory is devoted to non-relativistic quantum mechanics. The theory of the addition of angular momenta, collision theory, and the theory of symmetry are examined, together with spin, nuclear structure, motion in a magnetic field, and diatomic and polyatomic molecules. This book is comprised of 18 chapters and begins with an introduction to the basic concepts of quantum mechanics, with emphasis on the uncertainty principle, the principle of superposition, and operators, as well as the continuous spectrum and the wave function. The following chapters explore energy and momentum; Schrödinger's equation; angular momentum; and motion in a centrally symmetric field and in a magnetic field. Perturbation theory, spin, and the properties of quasi-classical systems are also considered. The remaining chapters deal with the identity of particles, atoms, and diatomic and polyatomic molecules. The final two chapters describe elastic and inelastic collisions. This monograph will be a valuable source of information for physicists.

Non-Relativistic Quantum Mechanics
Non-Relativistic Quantum Mechanics

Author: Ravinder R. Puri

Publisher: Cambridge University Press

Published: 2017-07-04

Total Pages: 457

ISBN-13: 1107164362

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"Introduces readers to non-relativistic quantum mechanics and its mathematical methods"--

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

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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. This third edition has been slightly revised to bring the text up-to-date.

PRINCIPLES OF NON-RELATIVISTIC AND RELATIVISTIC QUANTUM MECHANICS
PRINCIPLES OF NON-RELATIVISTIC AND RELATIVISTIC QUANTUM MECHANICS

Author: KRORI, K. D.

Publisher: PHI Learning Pvt. Ltd.

Published: 2020-07-01

Total Pages: 373

ISBN-13: 9389347653

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Intended for undergraduate and postgraduate students of physics and chemistry, this textbook covers the entire spectrum of both non-relativistic quantum mechanics and relativistic quantum mechanics in a simple style to be truly beneficial to all levels of students. The book is organized in three parts. The first part describes the development of quantum theory, starting from Planck's law to de Broglie hypothesis. The Schrödinger theory has been introduced with relevant logic. This part also includes the treatments of angular momentum, path integral formalism, two-electron systems and interaction of radiation with matter. The second part deals with relativistic quantum theory including Klein–Gordon and Dirac equations, Weyl's neutrino theory, ending with gauge theory applied to Salam–Weinberg electroweak theory. The third part delves into the conceptual foundations of quantum mechanics, and Einstein–Bohr debate culminating in Bell's inequality theorem. The book concludes with a discussion on three quantum interference effects in electromagnetic and gravitation fields each of which has a deep physical importance. NEW TO THE SECOND EDITION • New topics on: o Bose Statistics o Periodic Potential o Clebsech – Gordan Coefficients o Quantum Entanglement • New Appendices on: o Noether's Theorem o Space Reflection, Time Reversal and Charge Conjugation TARGET AUDIENCE • B.Sc./M.Sc. (Physics) • B.Sc./M.Sc. (Chemistry)

Feynman's Thesis
Feynman's Thesis

Author: Richard Phillips Feynman

Publisher: World Scientific

Published: 2005

Total Pages: 142

ISBN-13: 9812563660

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Richard Feynman's never previously published doctoral thesis formed the heart of much of his brilliant and profound work in theoretical physics. Entitled ?The Principle of Least Action in Quantum Mechanics," its original motive was to quantize the classical action-at-a-distance electrodynamics. Because that theory adopted an overall space?time viewpoint, the classical Hamiltonian approach used in the conventional formulations of quantum theory could not be used, so Feynman turned to the Lagrangian function and the principle of least action as his points of departure.The result was the path integral approach, which satisfied ? and transcended ? its original motivation, and has enjoyed great success in renormalized quantum field theory, including the derivation of the ubiquitous Feynman diagrams for elementary particles. Path integrals have many other applications, including atomic, molecular, and nuclear scattering, statistical mechanics, quantum liquids and solids, Brownian motion, and noise theory. It also sheds new light on fundamental issues like the interpretation of quantum theory because of its new overall space?time viewpoint.The present volume includes Feynman's Princeton thesis, the related review article ?Space?Time Approach to Non-Relativistic Quantum Mechanics? [Reviews of Modern Physics 20 (1948), 367?387], Paul Dirac's seminal paper ?The Lagrangian in Quantum Mechanics'' [Physikalische Zeitschrift der Sowjetunion, Band 3, Heft 1 (1933)], and an introduction by Laurie M Brown.

Relativistic Quantum Mechanics
Relativistic Quantum Mechanics

Author: Armin Wachter

Publisher: Springer Science & Business Media

Published: 2010-09-29

Total Pages: 385

ISBN-13: 9048136458

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* Which problems do arise within relativistic enhancements of the Schrödinger 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.

Relativistic Quantum Dynamics
Relativistic Quantum Dynamics

Author: Eugene Stefanovich

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2018-11-05

Total Pages: 244

ISBN-13: 3110493225

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In this third volume of three, quantum electrodynamics is formulated in the language of physical „dressed" particles. A theory where charged particles interact via instantaneous action-at-a-distance forces is constructed - without need for renormalization. This theory describes electromagnetic phenomena in terms of directly interacting charges, but in full accord with fundamental principles of relativity and causality. Contents Three ways to look at QFT Dressing What are advantages of dressed Hamiltonian? Coulomb potential and beyond Decays RQD in higher orders Classical electrodynamics Experimental support of RQD Particles and relativity Special theory of relativity Unitary dressing transformation Integral for decay law Coulomb scattering integral in fourth order Relativistic invariance of Coulomb–Darwin–Breit electrodynamics

Quantum Mechanics of Particles and Wave Fields
Quantum Mechanics of Particles and Wave Fields

Author: Arthur March

Publisher: Courier Corporation

Published: 2006-01-01

Total Pages: 308

ISBN-13: 048644578X

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A complete explanation of quantum mechanics, from its early non-relativistic formulation to the complex field theories used so extensively in modern theoretical research, this volume assumes no specialized knowledge of the subject. It stresses relativistic quantum mechanics, since this subject plays such an important role in research, explaining the principles clearly and imparting an accurate understanding of abstract concepts. This text deals with quantum mechanics from its earliest developments, covering both the quantum mechanics of wave fields and the older quantum theory of particles. The final chapter culminates with the author's presentation of his revolutionary theory of fundamental length--a concept designed to meet many of quantum theory's longstanding basic difficulties.