"Problem Solving in Theoretical Physics" helps students mastering their theoretical physics courses by posing advanced problems and providing their solutions - along with discussions of their physical significance and possibilities for generalization and transfer to other fields.

Sample Text

This book is a collection of more than 100 problems selected from the examination questions for a graduate course in theoretical physics. Every problem is discussed and solved in detail. A wide range of subjects is covered, from potential scattering to atomic, nuclear and high energy physics. Special emphasis is devoted to relativistic quantum mechanics and its application to elementary processes: S-matrix theory, the role of discrete symmetries, the use of Feynman diagrams and elementary perturbative quantum field theory.The course attaches great importance to recitation sessions, where thorough problem solving becomes a true test of mastery of theoretical background.The authors are experts in their fields. A Di Giacomo taught “theoretical physics” for about 20 years. G Paffuti and P Rossi held recitations for several years. More recently, Haris Panagopoulos followed suit. He assisted the authors in preparing this English version translated from the Italian.For physicists and especially for graduate and advanced undergraduate students in theoretical physics, this book is a positive guide in the intricacies of problem-solving. A further feature that adds practical value to this book is that most problems correspond to realistic physical processes and their numerical results are compared to experimental values whenever possible.

While group theory and its application to solid state physics is well established, this textbook raises two completely new aspects. First, it provides a better understanding by focusing on problem solving and making extensive use of Mathematica tools to visualize the concepts. Second, it offers a new tool for the photonics community by transferring the concepts of group theory and its application to photonic crystals. Clearly divided into three parts, the first provides the basics of group theory. Even at this stage, the authors go beyond the widely used standard examples to show the broad field of applications. Part II is devoted to applications in condensed matter physics, i.e. the electronic structure of materials. Combining the application of the computer algebra system Mathematica with pen and paper derivations leads to a better and faster understanding. The exhaustive discussion shows that the basics of group theory can also be applied to a totally different field, as seen in Part III. Here, photonic applications are discussed in parallel to the electronic case, with the focus on photonic crystals in two and three dimensions, as well as being partially expanded to other problems in the field of photonics. The authors have developed Mathematica package GTPack which is available for download from the book's homepage. Analytic considerations, numerical calculations and visualization are carried out using the same software. While the use of the Mathematica tools are demonstrated on elementary examples, they can equally be applied to more complicated tasks resulting from the reader's own research.

Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for learning and implementation, constants and formulae can readily be altered and adapted for the user’s purposes. New edition offers enlarged two-volume format suitable to courses in mechanics and electrodynamics, while offering dozens of new examples and a more rewarding interactive learning environment.