Mathematical Foundations of Quantum Mechanics

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Focusing on the mathematical structure of quantum mechanics, John von Neumann presents a groundbreaking analysis that reshaped theoretical physics. He introduces Hermitean operators and Hilbert spaces, establishing a framework for transformation theory, which he considers the core of quantum mechanics. With rigorous mathematical treatment, he addresses key issues in quantum theory, including quantum statistical mechanics and measurement processes. This influential work remains essential for anyone exploring the foundational aspects of quantum mechanics.