A uniqueness theorem for ‘no collapse’ interpretations of quantum mechanics
暂无分享,去创建一个
Abstract 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 determinate (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 the preferred determinate observable—either settled pragmatically by what we choose to observe, or fixed once and for all, as the Einsteinian realist would require, in which case the preferred observable is a ‘beable’ in Bell's sense, as in Bohm's interpretation (where the preferred observable is position in configuration space).
[1] A. Messiah. Quantum Mechanics , 1961 .
[2] J. Neumann. Mathematical Foundations of Quantum Mechanics , 1955 .