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

Beyer, Horst

ISBN 10: 3031171780 / ISBN 13: 9783031171789

Published by Springer 2022-11, 2022

About this Item

Seller Inventory # 6666-IUK-9783031171789

Bibliographic Details

• Title: The Reasoning of Quantum Mechanics : Operator Theory and the Harmonic Oscillator
• Publisher: Springer 2022-11
• Publication Date: 2022
• Language: English
• ISBN 10: 3031171780
• ISBN 13: 9783031171789
• Binding: PF
• Condition: New

About this title

Synopsis

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.