With a Focus on Physics and Operator Theory Beyer, Horst R. 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 XXIV, 203 p. 29 illus., 18 illus. in color. online resource. This book presents an introduction to quantum mechanics that consistently uses the methods of operator theory, allowing readers to develop a physical understanding of quantum mechanical systems. The methods of operator theory are discussed throughout the book and presented with a mathematically rigorous approach. The author describes in detail how to use the methods of operator theory for analyzing quantum mechanical systems, starting with the definition of the involved physical operators (observables) up to the calculation of their spectra, spectral measures, and functional calculus. In addition, the book includes the construction of exponential functions of the involved Hamilton operators that solve the problem of time evolution. Introduction -- Constraints on Quantization -- Quantization of a Free Particle in n-Dimensional Space -- Commutators, Symmetries and Invariances -- Simple Quantum Systems in 1 Space Dimension -- Motion in a Central Force Field -- Motion in an Axially-Symmetric Force Field -- Scattering Theory -- Time-Dependent Quantum Systems and Propagators -- Conclusion. by Horst R. Beyer. Quantum physics Mathematical physics Operator theory Quantum Physics Mathematical Physics Mathematical Methods in Physics Operator Theory QC173.96-174.52 9783031490781 https://doi.org/10.1007/978-3-031-49078-1 https://doi.org/10.1007/978-3-031-49078-1 240404 20251030111805.0 978-3-031-49078-1