Mathematical Foundations of Quantum Mechanics

Ranked #80 in Classical Mechanics, Ranked #87 in Mechanicssee more rankings.


"Mathematical Foundations of Quantum Mechanics" was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some...
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