EAN: 9783031171796

SYNTHESIS LECTURES ON ENGINEERING SCIENCE AND T...

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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