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  1. A uniqueness theorem for ‘no collapse’ interpretations of quantum mechanics.Jeffrey Bub & Rob Clifton - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):181-219.
    We prove a uniqueness theorem showing that, subject to certain natural constraints, all 'no collapse' interpretations of quantum mechanics can be uniquely characterized and reduced to the choice of a particular preferred observable as determine (definite, sharp). We show how certain versions of the modal interpretation, Bohm's 'causal' interpretation, Bohr's complementarity interpretation, and the orthodox (Dirac-von Neumann) interpretation without the projection postulate can be recovered from the theorem. Bohr's complementarity and Einstein's realism appear as two quite different proposals for selecting (...)
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  • On the Stone: von Neumann Uniqueness Theorem and Its Ramifications.Stephen Summers - 2001 - Vienna Circle Institute Yearbook 8:135-152.
    In the mid to late 1920s, the emerging theory of quantum mechanics had two main competing 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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  • On the nature of continuous physical quantities in classical and quantum mechanics.Hans Halvorson - 2001 - Journal of Philosophical Logic 30 (1):27-50.
    Within the traditional Hilbert space formalism of quantum mechanics, it is not possible to describe a particle as possessing, simultaneously, a sharp position value and a sharp momentum value. Is it possible, though, to describe a particle as possessing just a sharp position value (or just a sharp momentum value)? Some, such as Teller, have thought that the answer to this question is No - that the status of individual continuous quantities is very different in quantum mechanics than in classical (...)
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  • Quantum mechanics and the nature of continuous physical quantities.Paul Teller - 1979 - Journal of Philosophy 76 (7):345-361.
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