The Empirical and Mathematical Foundations of Quantum Mechanics

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

Entropy ◽

10.3390/e2020080 ◽

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

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The Historical Development of Quantum Theory. Volume 6: The Completion of Quantum Mechanics, 1926-1941 The Historical Development of Quantum Theory. Volume 6: The Completion of Quantum Mechanics, 1926-1941 Jagdish Mehra and Helmut Rechenberg Part 1: The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926-1932. Springer-Verlag, New York. 2000. $129.00, $69.95 paper (670 pp.). ISBN 0-387-98971-4, ISBN 0-387-95181-4 paper Part 2: The Conceptual Completion and the Extensions of Quantum Mechanics 1932-1941. Epilogue: Aspects of the Further Development of Quantum Theory 1942-1999. Springer-Verlag, New York. 2001. $149.00, $69.95 paper (941 pp.). ISBN 0-387-95086-9, ISBN 0-387-95182-2 paper

Physics Today ◽

10.1063/1.1428438 ◽

2001 ◽

Vol 54 (11) ◽

pp. 56-59 ◽

Cited By ~ 1

Author(s):

Silvan S. Schweber

Keyword(s):

New York ◽

Quantum Mechanics ◽

Quantum Theory ◽

Physical Interpretation ◽

Historical Development ◽

Foundations Of Quantum Mechanics ◽

Transformation Theory ◽

Probability Interpretation ◽

Mathematical Foundations ◽

Further Development

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Mathematical Foundations of Quantum Mechanics. By John von Neumann. Translated from the German edition by R. T. Beyer. Princeton University Press, 1955. Pp. 472. $6.00

The British Journal for the Philosophy of Science ◽

10.1093/bjps/viii.32.343 ◽

1958 ◽

Vol 8 (32) ◽

pp. 343-347 ◽

Cited By ~ 1

Author(s):

P. K. FEYERABEND

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

John Von Neumann ◽

Von Neumann ◽

Princeton University ◽

German Edition ◽

Mathematical Foundations

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The Mathematical Foundations of Quantum Mechanics II

Quantum Mechanics ◽

10.1007/978-3-662-30374-0_10 ◽

1993 ◽

pp. 173-192

Author(s):

Walter Greiner

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Mathematical Foundations

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