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Ever since its invention in 1929 the Dirac equation has played a fundamental role in various areas of modern physics and mathematics. Its applications are so widespread that a description of all aspects cannot be done with sufficient depth within a single volume. In this book the emphasis is on the role of the Dirac equation in the relativistic quantum mechanics of spin-1/2 particles. We cover the range from the description of a single free particle to the external field problem in quantum electrodynamics. Relativistic quantum mechanics is the historical origin of the Dirac equation and has become a fixed part of the education of theoretical physicists. There are some famous textbooks covering this area. Since the appearance of these standard texts many books (both physical and mathematical) on the non relativistic Schrodinger equation have been published, but only very few on the Dirac equation. I wrote this book because I felt that a modern, comprehensive presentation of Dirac's electron theory satisfying some basic requirements of mathematical rigor was still missing.
"Visual Quantum Mechanics" uses the computer-generated animations found on the accompanying material on Springer Extras to introduce, motivate, and illustrate the concepts explained in the book. While there are other books on the market that use Mathematica or Maple to teach quantum mechanics, this book differs in that the text describes the mathematical and physical ideas of quantum mechanics in the conventional manner. There is no special emphasis on computational physics or requirement that the reader know a symbolic computation package. Despite the presentation of rather advanced topics, the book requires only calculus, making complicated results more comprehensible via visualization. The material on Springer Extras provides easy access to more than 300 digital movies, animated illustrations, and interactive pictures. This book along with its extra online materials forms a complete introductory course on spinless particles in one and two dimensions.
Visual Quantum Mechanics is a systematic effort to investigate and to teach quantum mechanics with the aid of computer-generated animations. Although it is self-contained, this book is part of a two-volume set on Visual Quantum Mechanics. The first book appeared in 2000, and earned the European Academic Software Award in 2001 for oustanding innovation in its field. While topics in book one mainly concerned quantum mechanics in one- and two-dimensions, book two sets out to present three-dimensional systems, the hydrogen atom, particles with spin, and relativistic particles. Together the two volumes constitute a complete course in quantum mechanics that places an emphasis on ideas and concepts, with a fair to moderate amount of mathematical rigor.
Six Stories is a radically new look at the intersection of science and art through “failed” images.
This book presents the proceedings of 24th International Conference Series on Climbing and Walking Robots. CLAWAR 2021 is the twenty-fourth edition of International Conference series on Climbing and Walking Robots and the Support Technologies for Mobile Machines. The conference is organized by CLAWAR Association in collaboration with Kwansei Gakuin University on a virtual platform in Takarazuka, Japan, during 30 August–01 September 2021. CLAWAR 2021 brings new developments and new research findings in robotics technologies within the framework of “Robotics for Sustainable Future”. The topics covered include biped locomotion, human–machine/human–robot interaction, innovative actuato...
Learning Quantum Mechanics doesn’t have to be hard What if there was a way to learn Quantum Mechanics without all the usual fluff and mystification? What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Quantum Mechanics now exists. What will you learn from this book? Get to know the fundamental quantum features — grasp how different nature works at the level of elementary particles.Learn how to describe Quantum Mechanics mathematically — understand the origin and meaning of the most important quantum equations: the Schrödinger equation + the canonical commutation relations.Master the most ...
Whenever the topic of mathematics is mentioned, people tend to indicate their weakness in the subject as a result of not having enjoyed its instruction during their school experience. Many students unfortunately do not have very positive experiences when learning mathematics, which can result from teachers who have a tendency 'to teach to the test'. This is truly unfortunate for several reasons. First, basic algebra and geometry, which are taken by almost all students, are not difficult subjects, and all students should be able to master them with the proper motivational instruction. Second, we live in a technical age, and being comfortable with basic mathematics can certainly help you deal ...
This course in real analysis begins with the usual measure theory, then brings the reader quickly to a level where a wider than usual range of topics can be appreciated. Topics covered include Lp- spaces, rearrangement inequalities, sharp integral inequalities, distribution theory, Fourier analysis, potential theory, and Sobolev spaces. To illustrate these topics, there is a chapter on the calculus of variations, with examples from mathematical physics, as well as a chapter on eigenvalue problems (new to this edition). For graduate students of mathematics, and for students of the natural sciences and engineering who want to learn tools of real analysis. Assumes a previous course in calculus. Lieb is affiliated with Princeton University. Loss is affiliated with Georgia Institute of Technology. c. Book News Inc.
Contents:Progress of RFQ and Superconducting Accelerators in China (C E Chen et al.)QCD Phase Transition in the Laboratory and in the Early Universe (B Sinha)Frontiers in Ultrafast Laser Science (W Sibbett)Asymmetries of Sea Quark Distributions in Baryons (M Alberg et al.)A Variational Approach to Many-Particle Systems (C K Kim et al.)Synchrotron Radiation Activities at KEK (M Kihara)Results of the UNU/ICTP PFF Network (S Lee)New Generation Positron-Atom Scattering Theories (K Ratnavelu)Superconducting Pairing of Quarks in QCD (N V Hieu & L T Tuong)Photon-Gated Persistent Spectral Hole Burning (Y X Nie & L Z Zhao)Wind Driven Circulation of the South China Sea (A Camerlengo)Effect of Soil Type on Environmental Terrestrial Gamma Radiation Dose in Johor State, Malaysia (A T Ramli et al.)Research in Optical Fibres Devices at Telekom Malaysia Photonics Laboratory (H B Ahmad et al.)Simplifying Complexity (W A T Wan Abdullah)Gravitational Wave Detection in the Laboratory (Y T Chen et al.)and other papers Readership: Theoretical physicists.
This collection challenges conventional ideas of beauty by exploring unconventional approaches to the topic in the arts, sciences and mathematics.