Schwarz, Albert. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XII, 130 p. 1 illus. online resource. This book offers a non-standard introduction to quantum mechanics and quantum field theory, approaching these topics from algebraic and geometric perspectives. Beginning with fundamental notions of quantum theory and the derivation of quantum probabilities from decoherence, it proceeds to prove the expression for the scattering matrix in terms of Green functions (LSZ formula), along with a similar expression for the inclusive scattering matrix. The exposition relies on recent findings by the author that provide a deeper understanding of the structure of quantum theory and extend beyond its traditional boundaries. The book is suitable for graduate students and young researchers in mathematics and theoretical physics seeking to delve into innovative concepts within quantum theory. The book contains many recent results therefore it should be interesting also to accomplished physicists and mathematicians. 1. Quantum Theory in Algebraic and Geometric Approaches -- 2. Scattering Theory -- 3. Deterministic Physical Theories -- 4. Appendix. by Albert Schwarz. Elementary particles (Physics) Quantum field theory Algebraic geometry Mathematical physics Elementary Particles, Quantum Field Theory Algebraic Geometry Mathematical Physics Theoretical, Mathematical and Computational Physics QC793-793.5 QC174.45-174.52 9783031679155 https://doi.org/10.1007/978-3-031-67915-5 https://doi.org/10.1007/978-3-031-67915-5 240822 20251030112906.0 978-3-031-67915-5