The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator (Synthesis Lectures on Engineering, Science, and Technology) - Softcover

Beyer, Horst

 
9783031171796: The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator (Synthesis Lectures on Engineering, Science, and Technology)
Softcover
ISBN 10: 3031171799 ISBN 13: 9783031171796
Verlag: Springer, 2023

Inhaltsangabe

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.  In quantum field theory or general relativity, mathematics and physics are inextricably interwoven.  As such, the book is mathematically rigorous.  The author focuses on the properties of the quantum system that can be observed and measured and interprets the resulting theory.  The methods of operator theory are discussed throughout in the formulation of the theory as well as in the calculation of the consequences of the theory.  The book addresses the mathematical support of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in Hilbert spaces.  Considerable focus is placed on the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell's inequality. 

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Über die Autorin bzw. den Autor

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.

Von der hinteren Coverseite

This book presents and details the process of quantization of a classical mechanical system in a relevant physical system, the harmonic oscillator.  In quantum field theory or general relativity, mathematics and physics are inextricably interwoven.  As such, the book is mathematically rigorous.  The author focuses on the properties of the quantum system that can be observed and measured and interprets the resulting theory.  The methods of operator theory are discussed throughout in the formulation of the theory as well as in the calculation of the consequences of the theory.  The book addresses the mathematical support of the probabilistic interpretation of quantum mechanics through the spectral theorems for (densely-defined and linear) self-adjoint operators in Hilbert spaces.  Considerable focus is placed on the measurement process and questions the challenges of the wave function, the EPR paradox, and Bell’s inequality.

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Verlag
Springer
Erscheinungsdatum
2023
Sprache
Englisch
ISBN 10 
3031171799
ISBN 13 
9783031171796
Einband
Tapa blanda
Auflage
1
Anzahl der Seiten
88
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9783031171765: The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator (Synthesis Lectures on Engineering, Science, and Technology)

Vorgestellte Ausgabe

ISBN 10:  3031171764 ISBN 13:  9783031171765
Verlag: Springer International Publishin..., 2022
Hardcover