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The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator. Second Edition 2025

The Reasoning of Quantum Mechanics: Operator Theory and the Harmonic Oscillator. Second Edition 2025

・ISBN 978-3-031-70512-0 paper EUR 34.99

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お気に入り
著者・編者Beyer, Horst R.,
シリーズ (Synthesis Lectures on Engineering, Science, and Technology)
出版社 (Springer International Publishing AG, SZ)
出版年月2025
ページ数98 pp.
言語ENG
ニュース番号<A05-69549>

解説

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.