Springer Theory and Applications of the Poincare Group - Physics Mathematics

This foundational text explores the critical intersection of special relativity and quantum mechanics through the lens of the Poincare Group, one of the most essential mathematical structures in modern physics. Written for researchers and advanced students, the book addresses the fundamental challenge of reconciling quantum mechanics with special relativity-a problem that has driven theoretical physics since the 1920s and remains central to contemporary particle physics research. The Poincare Group provides the mathematical framework necessary to understand symmetries in relativistic quantum field theory and forms the basis for the Standard Model of particle physics. This volume combines rigorous mathematical treatment with practical applications, making it invaluable for anyone seeking to understand how these two revolutionary twentieth-century theories work together to explain experimental observations at the quantum scale.