03076nam a22005295i 4500 978-3-031-49078-1 DE-He213 20251030111805.0 cr nn 008mamaa 240404s2024 sz | s |||| 0|eng d 9783031490781 978-3-031-49078-1 10.1007/978-3-031-49078-1 doi QC173.96-174.52 PHQ bicssc SCI057000 bisacsh PHQ thema Beyer, Horst R. author. aut http://id.loc.gov/vocabulary/relators/aut 74736 Introduction to Quantum Mechanics [electronic resource] : With a Focus on Physics and Operator Theory / by Horst R. Beyer. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XXIV, 203 p. 29 illus., 18 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 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. 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. Quantum physics. 66608 Mathematical physics. Operator theory. Quantum Physics. 66608 Mathematical Physics. Mathematical Methods in Physics. 70877 Operator Theory. SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031490774 Printed edition: 9783031490798 Printed edition: 9783031490804 Synthesis Lectures on Engineering, Science, and Technology, 2690-0327 https://doi.org/10.1007/978-3-031-49078-1 ZDB-2-SXSC 58948 58948