Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints

Focusing on algebraic and geometric perspectives, this book presents a unique introduction to quantum mechanics and quantum field theory. It begins with fundamental concepts and explores the derivation of quantum probabilities through decoherence. Key results include proving the scattering matrix expression via Green functions and discussing recent findings that deepen the understanding of quantum theory's structure. Aimed at graduate students and researchers, it also appeals to established physicists and mathematicians interested in innovative ideas within the field.