Introduction to Quantum Mechanics - Horst R. Beyer

Introduction to Quantum Mechanics

With a Focus on Physics and Operator Theory

(Autor)

Buch | Hardcover
XXIV, 203 Seiten
2024 | 2024
Springer International Publishing (Verlag)
978-3-031-49077-4 (ISBN)
53,49 inkl. MwSt

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.

lt;p>Horst R. Beyer, Ph.D., is affiliated with the University of Tuebingen in Germany. Dr. Beyer has written numerous published articles in his areas of research interest, which include mathematical physics, in particular the applications of operator theory in quantum field theory, general relativity, astrophysics, and the engineering sciences.

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.

Erscheinungsdatum
Reihe/Serie Synthesis Lectures on Engineering, Science, and Technology
Zusatzinfo XXIV, 203 p. 29 illus., 18 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 168 x 240 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Axially-Symmetric Force Field • operator methods • operator theory • Quantum Mechanical Systems • quantum mechanics • Quantum Theory • Simple Quantum Systems • Time-Dependent Quantum Systems
ISBN-10 3-031-49077-0 / 3031490770
ISBN-13 978-3-031-49077-4 / 9783031490774
Zustand Neuware
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