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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The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926–1932

10.1007/978-1-4612-1184-6 ◽

2001 ◽

Author(s):

Jagdish Mehra ◽

Helmut Rechenberg

Keyword(s):

Quantum Mechanics ◽

Physical Interpretation ◽

Foundations Of Quantum Mechanics ◽

Transformation Theory ◽

Probability Interpretation ◽

Mathematical Foundations

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Mehra, J./Rechenberg, H., The Historical Development of Quantum Theory. Vol. 2: The Discovery of Quantum Mechanics, 1925. VII, 355 S., DM 65,—. US $ 26.00. ISBN 3-540-90674-6. Vol. 3: The Formulation of Matrix Mechanics and Its Modifications, 1925–1926. VII, 334 S., DM 75,—. US $ 30.00. ISBN 3-540-90675-4. Vol. 4: Part 1: The Fundamental Equations of Quantum Mechanics. 1925-1926. Part 2: The Reception of the New Quantum Mechanics. 1925-1926. VIII, 322 S., DM 75,—. US $ 30.00. ISBN 3-540-90680-0. Berlin-Heidelberg-New York, Springer-Verlag 1982.

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19840640216 ◽

1984 ◽

Vol 64 (2) ◽

pp. 132-132

Author(s):

H.-G. Schöpf

Keyword(s):

New York ◽

Quantum Mechanics ◽

Quantum Theory ◽

Historical Development ◽

Matrix Mechanics ◽

Fundamental Equations

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Jagdish Mehra & Helmut Rechenberg. The Historical Development of Quantum Theory. Volume 1, The Quantum Theory of Planck, Einstein, Bohr and Sommerfeld: Its Foundations and the Rise of its Difficulties 1900–1925. Volume 2, The Discovery of the Quantum Mechanics 1925. Volume 3, The Formulation of Matrix Mechanics and its Modifications 1925–1926. Volume 4, The Fundamental Equations of Quantum Mechanics 1925–1926 and The Reception of the New Quantum Mechanics 1925–1926. New York, Heidelberg and Berlin: Springer-Verlag, 1982. Volume 1 in two parts, pp. xlvii + 372, vi + 506. ISBN 3-540-90642-8, 3-540-90667-3. DM 75, DM 85. Volume 2, pp. vii + 355. ISBN 3-540-90674-6. DM 65. Volume 3, pp. vii + 334. ISBN 3-540-90675-4. DM 75. Volume 4, pp. viii + 322. ISBN 3-540-90680-0. DM 75. - Andrew Pickering. Constructing Quarks. A Sociological History of Particle Physics. Edinburgh: Edinburgh University Press, 1984. Pp. xi + 468. ISBN 0-85224-458-4 £20.

The British Journal for the History of Science ◽

10.1017/s0007087400023001 ◽

1986 ◽

Vol 19 (2) ◽

pp. 206-208

Author(s):

John Hendry

Keyword(s):

New York ◽

Quantum Mechanics ◽

Quantum Theory ◽

Particle Physics ◽

Historical Development ◽

Matrix Mechanics ◽

History Of Particle Physics ◽

History Of ◽

Sociological History ◽

Fundamental Equations

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Mathematical foundations of quantum mechanics. By John von Neumann, translated from the German by R. T. Beyer. Pp. xii, 445. 48s. 1955, (Princeton University Press; Geoffrey Cumberlege, Oxford University Press)

The Mathematical Gazette ◽

10.1017/s0025557200034999 ◽

1956 ◽

Vol 40 (332) ◽

pp. 150-150

Author(s):

R. G. Cooke

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

John Von Neumann ◽

Von Neumann ◽

Oxford University ◽

Princeton University ◽

Mathematical Foundations ◽

Oxford University Press

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Mathematical Foundations of Quantum Mechanics (Investigations in Physics No. 2)

Physics Today ◽

10.1063/1.3061789 ◽

1955 ◽

Vol 8 (10) ◽

pp. 21-21 ◽

Cited By ~ 218

Author(s):

John von Neumann ◽

M. E. Rose

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Mathematical Foundations

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The Empirical and Mathematical Foundations of Quantum Mechanics

The Probability Interpretation and the Statistical Transformation Theory, the Physical Interpretation, and the Empirical and Mathematical Foundations of Quantum Mechanics 1926–1932 ◽

10.1007/978-1-4612-1184-6_3 ◽

2001 ◽

pp. 337-670 ◽

Cited By ~ 1

Author(s):

Jagdish Mehra ◽

Helmut Rechenberg

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Mathematical Foundations

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Mathematical Foundations of Quantum Mechanics I

Quantum Mechanics ◽

10.1007/978-3-662-30374-0_4 ◽

1993 ◽

pp. 53-77

Author(s):

Walter Greiner

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Mathematical Foundations

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Mathematical Foundations of Quantum Mechanics I

Quantum Mechanics ◽

10.1007/978-3-662-00707-5_4 ◽

1989 ◽

pp. 53-77

Author(s):

Walter Greiner

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Mathematical Foundations

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Commentaire de “Hilbert and von Neumann on the Mathematical Foundations of Quantum Mechanics”

Passages à la limite et seuils critiques. Morceaux Choisis/ Selected Papers ◽

10.2307/j.ctv1h0p0n2.27 ◽

2020 ◽

pp. 469-478

Keyword(s):

Quantum Mechanics ◽

Foundations Of Quantum Mechanics ◽

Von Neumann ◽

Mathematical Foundations

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Mathematical foundations of quantum mechanics: An advanced short course

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887816300117 ◽

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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