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The first complete mathematical formulation of this approach, known as the Dirac–von Neumann axioms, is generally credited to John von Neumann's 1932 book Mathematical Foundations of Quantum Mechanics, although Hermann Weyl had already referred to Hilbert spaces (which he called unitary spaces) in his 1927 classic paper and book.
Leonard I. Schiff (1968) Quantum Mechanics McGraw-Hill Education; Davydov A.S. (1965) Quantum Mechanics Pergamon ISBN 9781483172026; Shankar, Ramamurti (2011). Principles of Quantum Mechanics (2nd ed.). Plenum Press. ISBN 978-0306447907. von Neumann, John (2018). Nicholas A. Wheeler (ed.). Mathematical Foundations of Quantum Mechanics ...
It is an important early work in the development of the mathematical formulation of quantum mechanics. [1] The book mainly summarizes results that von Neumann had published in earlier papers. [2] Von Neumman formalized quantum mechanics using the concept of Hilbert spaces and linear operators. [3] He acknowledged the previous work by Paul Dirac ...
The book has also been suggested as a complement to simplified introductory books in quantum mechanics. [ 3 ] Experimental physicist and 2022 Nobel laureate in Physics Alain Aspect , has frequently mentioned that the book was a revelation early in his career, helping him better understand the research papers of quantum mechanics and the work of ...
This book, fortuitously, contained a great many of the mathematical tools necessary for the continued development of quantum mechanics. In 1926, John von Neumann became assistant to David Hilbert, and he would coin the term Hilbert space to describe the algebra and analysis which were used in the development of quantum mechanics.
The second book in the series, by Leonard Susskind and Art Friedman, was published in 2014 by Basic Books under the title Quantum Mechanics: The Theoretical Minimum (ISBN 978-0465062904). Video recordings of the complete lectures are available on-line.