scholarly journals Intellectual Impostures. By Alan Sokal and Jean Bricmont Mathematical Foundations of Quantum Mechanics. By John von Neumann

Entropy ◽  
2000 ◽  
Vol 2 (2) ◽  
pp. 80-80
Author(s):  
Shu-Kun Lin
Keyword(s):  
Quantum Mechanics ◽  
Foundations Of Quantum Mechanics ◽  
John Von Neumann ◽  
Von Neumann ◽  
Mathematical Foundations

Mathematical Foundations of Quantum Mechanics

2018 ◽  
Keyword(s):  
Quantum Mechanics ◽  
Foundations Of Quantum Mechanics ◽  
Theoretical Physics ◽  
Mathematical Framework ◽  
Von Neumann ◽  
New Science ◽  
Freeman Dyson ◽  
And Mathematics ◽  
Mathematical Foundations ◽  
First Time

Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics—a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. This new edition of this classic work has been completely reset in TeX, making the text and equations far easier to read. The book has also seen the correction of a handful of typographic errors, revision of some sentences for clarity and readability, provision of an index for the first time, and prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson have been added. The result brings new life to an essential work in theoretical physics and mathematics.

scholarly journals Mathematical foundations of quantum mechanics: An advanced short course

2016 ◽  
Vol 13 (Supp. 1) ◽  
pp. 1630011
Author(s):  
Valter Moretti
Keyword(s):  
Quantum Mechanics ◽  
Orthomodular Lattice ◽  
Foundations Of Quantum Mechanics ◽  
Quantum Theories ◽  
Short Course ◽  
Mathematical Foundations ◽  
Algebraic Formulation

This paper collects and extends the lectures I gave at the “XXIV International Fall Workshop on Geometry and Physics” held in Zaragoza (Spain) during September 2015. Within these lectures I review the formulation of Quantum Mechanics, and quantum theories in general, from a mathematically advanced viewpoint, essentially based on the orthomodular lattice of elementary propositions, discussing some fundamental ideas, mathematical tools and theorems also related to the representation of physical symmetries. The final step consists of an elementary introduction the so-called ([Formula: see text]-) algebraic formulation of quantum theories.

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