Introduction to Quantum Mechanics: With a Focus on Physics and Operator Theory

Author:   Horst R. Beyer
Publisher:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031490774


Pages:   203
Publication Date:   05 April 2024
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Introduction to Quantum Mechanics: With a Focus on Physics and Operator Theory


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Overview

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.

Full Product Details

Author:   Horst R. Beyer
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   2024 ed.
ISBN:  

9783031490774


ISBN 10:   3031490770
Pages:   203
Publication Date:   05 April 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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Author Information

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.

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