Byron F.W., Fuller R.W. Mathematics of Classical and Quantum Physics

World Scientific Publishing Company, 2005, 142 p. 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 t...

American Mathematical Society, 2009. - 234 pages. This book is based on notes from the course developed and taught for more than 30 years at the Department of Mathematics of Leningrad University. The goal of the course was to present the basics of quantum mechanics and its mathematical content to students in mathematics. This book differs from the majority of other textbooks on the subject in that much more attention is paid to general principl...

Cambridge University Press, 2003, 391 pages Quantum mechanics is one of the most fundamental yet difficult subjects in physics. Nonrelativistic quantum theory is presented here in a clear and systematic fashion, integrating Born's probabilistic interpretation with Schrdinger dynamics. Basic quantum principles are illustrated with simple examples requiring no mathematics beyond linear algebra and elementary probability theory. The quantum measur...

World Scientific Publishing, 2011, 538 pages This is one of the very few books focusing on relativistic statistical mechanics, and is written by a leading expert in this special field. It started from the notion of relativistic kinetic theory, half a century ago, exploding into relativistic statistical mechanics. This will interest specialists of various fields, especially the (classical and quantum) plasma physics. However, quantum physics - t...

Cambridge University Press, 2011, 472 pages No scientific theory has caused more puzzlement and confusion than quantum theory. Physics is supposed to help us to understand the world, but quantum theory makes it seem a very strange place. This book is about how mathematical innovation can help us gain deeper insight into the structure of the physical world. Chapters by top researchers in the mathematical foundations of physics explore new ideas,...

InTech, 2012, 230 pages, ISBN: 9789535100355, 9535100355 Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved pro...

MIT Press, 2011. - 372 pp. The combination of two of the twentieth century's most influential and revolutionary scientific theories, information theory and quantum mechanics, gave rise to a radically new view of computing and information. Quantum information processing explores the implications of using quantum mechanics instead of classical mechanics to model information and its processing. Quantum computing is not about changing the physical su...

Addison Wesley, 1967, 336 pages The eleventh printing of this renowned book confirms its status as a classic. The book presents major advances in fundamentals of quantum physics from 1927 to the present. No familiarity with relativistic quantum mechanics or quantum field theory is presupposed; however, the reader is assumed to be familiar with non-relativistic quantum mechanics, classical electrodynamics, and classical mechanics. The author's c...

Cambridge University Press, 2004, 378 pages This book provides a self-contained and systematic introduction to classical electron theory and nonrelativistic quantum electrodynamics. The first half of the book covers the classical theory in much detail, which the second half explores quantum theory, leading to a coherent presentation of non-relativistic quantum electrodynamics. It covers the interaction between charges and the Maxwell field, wit...

Springer, 2006. - 1051 pages. This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists ranging from advanced undergraduate students to professional scientists. The book tries to bridge the existing gap between the different languages used by mathematicians and physicists. For students of mathematics it is shown that detailed knowledge of the physical background helps to motivate...