03111nam a22005655i 4500 978-3-031-67915-5 DE-He213 20251030112906.0 cr nn 008mamaa 240822s2024 sz | s |||| 0|eng d 9783031679155 978-3-031-67915-5 10.1007/978-3-031-67915-5 doi QC793-793.5 QC174.45-174.52 PHP bicssc SCI057000 bisacsh PHP thema Schwarz, Albert. author. aut http://id.loc.gov/vocabulary/relators/aut 82720 Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Viewpoints [electronic resource] / by Albert Schwarz. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XII, 130 p. 1 illus. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda SpringerBriefs in Physics, 2191-5431 1. Quantum Theory in Algebraic and Geometric Approaches -- 2. Scattering Theory -- 3. Deterministic Physical Theories -- 4. Appendix. 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. Elementary particles (Physics). 68885 Quantum field theory. 68886 Algebraic geometry. Mathematical physics. Elementary Particles, Quantum Field Theory. 68887 Algebraic Geometry. Mathematical Physics. Theoretical, Mathematical and Computational Physics. 65563 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031679148 Printed edition: 9783031679162 SpringerBriefs in Physics, 2191-5431 67187 https://doi.org/10.1007/978-3-031-67915-5 ZDB-2-PHA ZDB-2-SXP 62648 62648