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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Von Neumann’s contributions to quantum theory
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by Léon van Hove PDF
Bull. Amer. Math. Soc. 64 (1958), 95-99
References
    1. D. Hilbert, J. von Neumann and L. Nordheim, Über die Grundlagen der Quantenmechanik, Math. Ann. vol. 98 (1927) pp. 1-30. 2. J. von Neumann, Mathematische Begründung der Quantenmechanik, Nachr. Ges. Wiss. Göttingen (1927) pp. 1-57. 3. J. von Neumann, Allgemeine Eigenwerttheorie Hermitischer Funktionaloperatoren, Math. Ann. vol. 102 (1929) pp. 49-131.
  • Marshall Harvey Stone, Linear transformations in Hilbert space, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR 1451877, DOI 10.1090/coll/015
  • J. v. Neumann, Die Eindeutigkeit der Schrödingerschen Operatoren, Math. Ann. 104 (1931), no. 1, 570–578 (German). MR 1512685, DOI 10.1007/BF01457956
  • P. A. M. Dirac, The Principles of Quantum Mechanics, Oxford, at the Clarendon Press, 1947. 3d ed. MR 0023198
    • 7. J. von Neumann, Wahrscheinlichkeitstheoretischer Aufbau der Quantenmechanik, Nachr. Ges. Wiss. Göttingen (1927) pp. 245-272. 8. J. von Neumann, Thermodynamik quantenmechanischer Gesamtheiten, Nachr. Ges Wiss. Göttingen (1927) pp. 273-291. 9. J. von Neumann, Beweis des Ergodensatzes und des H-Theorems in der neuen Mechanik, Zeitschrift für Physik, vol. 57 (1929) pp. 30-70.
  • Johann von Neumann, Mathematische Grundlagen der Quantenmechanik, Die Grundlehren der mathematischen Wissenschaften, Band 38, Springer-Verlag, Berlin-New York, 1968 (German). Unveränderter Nachdruck der ersten Auflage von 1932. MR 0223138
Additional Information
  • Journal: Bull. Amer. Math. Soc. 64 (1958), 95-99
  • DOI: https://doi.org/10.1090/S0002-9904-1958-10206-2
  • MathSciNet review: 0092587