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On the Stone — von Neumann Uniqueness Theorem and Its Ramifications

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John von Neumann and the Foundations of Quantum Physics

Part of the book series: Vienna Circle Institute Yearbook [2000] ((VCIY,volume 8))

Abstract

In the mid to late 1920s, the emerging theory of quantum mechanics had two main competing (and, initially, mutually antagonistic) formalisms — the wave mechanics of E. Schrödinger [61] and the matrix mechanics of W. Heisenberg, M. Born and P. Jordan [27][2][3].1 Though a connection between the two was quickly pointed out by Schrödinger himself — see paper III in [61] — among others, the folk-theoretic “equivalence” between wave and matrix mechanics continued to generate more detailed study, even into our times.

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Authors and Affiliations

  1. Department of Mathematics, University of Florida, Gainesville, Florida, 32611, USA

    Stephen J. Summers

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  1. Stephen J. Summers
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  1. Eötvös University, Budapest, Hungary

    Miklós Rédei

  2. Institute Vienna Circle, Vienna, University of Salzburg, Vienna, Austria

    Michael Stöltzner

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Summers, S.J. (2001). On the Stone — von Neumann Uniqueness Theorem and Its Ramifications. In: Rédei, M., Stöltzner, M. (eds) John von Neumann and the Foundations of Quantum Physics. Vienna Circle Institute Yearbook [2000], vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2012-0_9

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  • DOI: https://doi.org/10.1007/978-94-017-2012-0_9

  • Publisher Name: Springer, Dordrecht

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