Graduate Texts in Physics

The Standard Model of elementary particle physics was tentatively outlined in the early 1970s. The concepts of quarks, leptons, neutrinos, gauge symmetries, chiral interactions, Higgs boson, strong force, weak force, and electromagnetism were all put together to form a unifying theory of elementary particles. Furthermore, the model was developed within the context of relativistic quantum field theory, making it compatible with all of the laws of Einstein's Special Relativity. The successes of the Standard Model over the years have been tremendous and enduring, leading up to the recent discovery and continuing study of the Higgs boson.     

This book is a comprehensive and technical introduction to Standard Model physics. Martin and Wells provide readers who have no prior knowledge of quantum field theory or particle physics a firm foundation into the fundamentals of both. The emphasis is on obtaining practical knowledge of how to calculate cross-sections and decay rates. There is no better way to understand the necessary abstract knowledge and solidify its meaning than to learn how to apply it to the computation of observables that can be measured in a laboratory.

Beginning graduate students, both experimental and theoretical, and advanced undergraduate students interested in particle physics, will find this to be an ideal one-semester textbook to begin their technical learning of elementary particle physics.

This textbook provides a compendium of numerical methods to assist physics students and researchers in their daily work. It carefully considers error estimates, stability and convergence issues, the choice of optimal methods, and techniques to increase program execution speeds. The book supplies numerous examples throughout the chapters that are concluded by more comprehensive problems with a strong physics background. Instead of uncritically employing modern black-box tools, the readers are encouraged to develop a more ponderous and skeptical approach.

This revised and expanded edition now includes a new chapter on numerical integration and stable differentiation, as well as fresh material on optimal filtering, integration of gravitational many-body problems, computation of Poincaré maps, regularization of orbits, singular Sturm-Liouville problems, techniques for time evolution and spatial treatment of (semi)infinite domains in spectral methods, and phase retrieval. It also brings updated discussions of algebraic problems involving sparse matrices and of high-resolution schemes for partial differential equations.

This book covers the principles and applications of computational multiscale modeling of fluids and solids. It explores the physics across various length and timescales, introducing fundamental concepts in fluid and solid mechanics, and the objectives of experimental and theoretical physics. With detailed discussions on numerical methods, statistical physics, thermodynamics, and the theory of elasticity, this book integrates theoretical background with practical computational examples. Designed for advanced students and professionals, the book includes computational exercises and projects, supported by source code available within the text and for download.

This edition contains several significant updates and expansions. It now features standalone chapters on molecular dynamics simulations and on the Monte Carlo method, both enriched with new applications and examples. The treatment of hypervelocity impact and shock-related applications has also been expanded and is integrated into the broader multiscale discussion of the book, including particle-based space-debris impact scenarios. In addition, a thorough introduction to quantum mechanics is presented, including exercises and source code examples such as the numerical solution of the Schrödinger equation. The computer science material has been expanded into a full chapter, offering a comprehensive introduction to theoretical computer science. Furthermore, the mathematical background has been revised and enlarged to include differential forms, enhancing the understanding of space in physics. Updated references, new exercises, case studies, and repository-supported C/C++ code examples make this book even more valuable for academic use.