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This introductory text begins with an examination of vector calculus. Boundary value problems of electrostatics and magnetostatics are thoroughly discussed. Other topics such as radiation, relativity, radiation from an accelerated charge, Lorentz group, Green's function, and a motion of charged particles in electric and magnetic fields are presented.
This invaluable textbook is divided into two parts. The first part includes a detailed discussion on the discrete transformations for the Dirac equation, as well as on the central force problem for the Dirac equation. In the second part, the external field problem is examined; pair production and vacuum polarization leading to charge renormalization are treated in detail. Relativistic Quantum Mechanic's and Introduction to Quantum Field Theory has arisen from a graduate course which the author taught for several years at the University of Alberta to students interested in particle physics and field theory.
From adventure to fantasy to romance, the reader encounters all the following: a man having to deal with immortality, another with a chance for redemption while standing on the gallows, a woman finding new meaning in life, two Newfoundlanders who change the fashion world, an Indian boy fleeing from a residential school, and many more.
This invaluable book consists of problems in nonrelativistic quantum mechanics together with their solutions. Most of the problems have been tested in class. The degree of difficulty varies from very simple to research-level. The problems illustrate certain aspects of quantum mechanics and enable the students to learn new concepts, as well as providing practice in problem solving.The book may be used as an adjunct to any of the numerous books on quantum mechanics and should provide students with a means of testing themselves on problems of varying degrees of difficulty. It will be useful to students in an introductory course if they attempt the simpler problems. The more difficult problems should prove challenging to graduate students and may enable them to enjoy problems at the forefront of quantum mechanics.
This enlightening book, a sequel to QUIPS, QUOTES, AND QUANTA, helps readers to understand how physicists think about and look at the world. Starting with the discovery and investigation of cosmic rays, the book proceeds to cover some major areas of modern physics in laymen's terms. Unlike other books that deal with the history of physics, this volume concentrates on anecdotes about the physicists who created the new ideas, with a heavy emphasis on personal incidents and quotes. At the same time it presents, in every day language, the ideas created by these physicists. Both thematic and biographical in nature, readers will be entertained with humorous events in the lives of some famous scientists. Readers will also learn quite a lot about modern physics without the mathematical details, but with the important concepts intact.
When a ship's surgeon during a routine episode of bloodletting noticed that the sailors' blood was brighter in the tropics than in the north, he hypothesized that heat was a form of energy. When a young boy tried to visualize how a beam of light would look like by riding alongside it at the same speed, he began thinking along lines that eventually changed our views of space and time. When a student caught hay fever and went to recover on Heligoland, he started a major revolution in physics. These are but just some of the stories covered in this entertaining book that deals with the history of physics from the end of the 19th-century to about 1930. Quips, Quotes and Quanta (2nd Edition) is unique in that it contains anecdotes on physicists creating new ideas. Often the thinking of the creators of what is now called "modern physics" is revealed through quotes. Thematic and biographical in nature, this book also includes many personal incidents. This second edition has been revised to include new material: a prologue, epilogue, glossary and chronology, and photograph's as well as additional quotes and anecdotes.
The last decade has seen striking progress in the subject of renormalization in quantum field theory. The old subject of perturbative renormalization has been revived by the use of powerful methods such as multiscale decompositions; precise estimates have been added to the initial theorems on finiteness of renormalized perturbation theory, with new results on its large order asymptotics. Furthermore, constructive field theory has reached one of its major goals, the mathematically rigorous construction of some renormalizable quantum field theories. For these models one can in particular investigate rigorously the phenomenon of asymptotic freedom, which plays a key role in our current understa...
There is a cloud-capped peak where gods and immortals while away their infinite days, and since the dawn of humanity everyone - whether they know it or not - has been trying to climb that mountain. But there are only four paths up its treacherous slope. Throughout history, people have wagered everything on their choice and fought wars against those who've decided differently. Each of these four paths - simply staying alive indefinitely, through magic or medicine; being resurrected; persisting as a soul; or living on through one's legacy - is revealed to us by a historical figure who serves as our guide. It is through these diverse individuals - such as the Egyptian queen Nefertiti; vitamin-o...
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 Schrödinger 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 Schrödinger 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.
Over 40 renowned scientists from all around the world discuss the work and influence of Werner Heisenberg. The papers result from the symposium held by the Alexander von Humboldt-Stiftung on the occasion of the 100th anniversary of Heisenberg's birth, one of the most important physicists of the 20th century and cofounder of modern-day quantum mechanics. Taking atomic and laser physics as their starting point, the scientists illustrate the impact of Heisenberg's theories on astroparticle physics, high-energy physics and string theory right up to processing quantum information.