Introduction to Quantum Mechanics

With a Focus on Physics and Operator Theory
2024
ISBN: 978-3-031-49077-4
Verlag: Springer Nature Switzerland

Buch, Englisch, 203 Seiten, Format (B × H): 173 mm x 246 mm, Gewicht: 564 g

Reihe: Synthesis Lectures on Engineering, Science, and Technology

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Beyer, Horst R.

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Naturwissenschaften Physik Quantenphysik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.