The Reasoning of Quantum Mechanics : Operator Theory and the Harmonic Oscillator

Horst R. Beyer

ISBN 10: 3031705092 / ISBN 13: 9783031705090

Published by Springer Nature Switzerland, Springer Nature Switzerland Nov 2024, 2024

About this Item

Druck auf Anfrage Neuware - Printed after ordering - This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. As mathematics and physics are inextricably interwoven in quantum theories, the author takes a mathematically rigorous approach. The book focuses on properties of the quantum system that can be observed and measured, and the author then interprets the resulting theory. The book covers methods of operator theory in the formulation of the theory as well as in the calculation of the consequences of the theory. The author addresses the mathematical foundation of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in complex Hilbert spaces. The book also explains the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell's inequality.

Seller Inventory # 9783031705090

Bibliographic Details

• Title: The Reasoning of Quantum Mechanics : Operator Theory and the Harmonic Oscillator
• Publisher: Springer Nature Switzerland, Springer Nature Switzerland Nov 2024
• Publication Date: 2024
• Language: English
• ISBN 10: 3031705092
• ISBN 13: 9783031705090
• Binding: Buch
• Edition: 2nd Edition
• Condition: Neu
• Dimensions: 246W x 173H x 12D millimeters 246 millimeters width by 173 millimeters height by 12 millimeters depth
• Weight: 370 grams

About this title

Synopsis

This Second Edition presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator. As mathematics and physics are inextricably interwoven in quantum theories, the author takes a mathematically rigorous approach.  The book focuses on properties of the quantum system that can be observed and measured, and the author then interprets the resulting theory. The book covers methods of operator theory in the formulation of the theory as well as in the calculation of the consequences of the theory. The author addresses the mathematical foundation of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in complex Hilbert spaces. The book also explains the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell’s inequality. 

About the Author

Horst R. Beyer, Ph.D., is currently affiliated with the University of Tuebingen Institute for Astronomy and Astrophysics, Theoretical Astrophysics Division. Dr. Beyer has written 7 books and 39 published articles. His research interests include mathematical physics, in particular the applications of operator theory in quantum field theory, general relativity, astrophysics, and the engineering sciences.