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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


The mathematics of second quantization
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by J. M. Cook PDF
Trans. Amer. Math. Soc. 74 (1953), 222-245 Request permission
    N. Bohr and L. Rosenfeld, Zur Frage der Messbarkeit der Elektromagnetischen Feldgrössen, Det Kgl. Danske Videnskabernes Selskab. Matematisk-Fysiske Meddeleser (XII) vol. 8 (1933) pp. 3-65. —, Field and charge measurements in quantum electrodynamics, Physical Reviews vol. 78 (1950) pp. 794-798. V. Fock, Konfigurationsraum und Zweite Quantelung, Zeitschrift für Physik vol. 75 (1932) pp. 622-647. W. Heisenberg, The physical principles of the quantum theory, Chicago, 1930.
  • Yositaka Mimura and Tôyomon Hosokawa, Space, time and laws of nature, J. Sci. Hiroshima Univ. Ser. A 9 (1939), 217–225. MR 215
  • F. J. Murray and J. Von Neumann, On rings of operators, Ann. of Math. (2) 37 (1936), no. 1, 116–229. MR 1503275, DOI 10.2307/1968693
  • J. von Neumann, Mathematische Grundlagen der Quantenmechanik, Berlin, 1932. B. v. Sz. Nagy, Spektraldarstellung Linear Transformationen des Hilbertschen Raumes, Berlin, 1942. B. L. van der Waerden, Die Gruppentheoretische Methode in der Quantenmechanik, Berlin, 1932. G. Wentzel, Einführung in die Quantentheorie der Wellenfelder, Vienna, 1943.
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Additional Information
  • © Copyright 1953 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 74 (1953), 222-245
  • MSC: Primary 81.0X
  • DOI:
  • MathSciNet review: 0053784