The Reasoning of Quantum Mechanics

Focusing on the quantization of the harmonic oscillator, this book delves into the interplay between mathematics and physics in quantum mechanics. It emphasizes the observable properties of quantum systems and rigorously interprets the resulting theories. The author explores operator theory in formulating and calculating quantum mechanics, addressing the probabilistic interpretation through spectral theorems for self-adjoint operators. Key topics include the measurement process, the wave function's challenges, the EPR paradox, and Bell's inequality, providing a comprehensive examination of these fundamental concepts.