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Published June 13, 2018 | Submitted
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Constructing and Constraining Wave Functions for Identical Quantum Particles

Abstract

I address the problem of explaining why wave functions for identical particles must be either symmetric or antisymmetric (the symmetry dichotomy) within two interpretations of quantum mechanics which include particles following definite trajectories in addition to, or in lieu of, the wave function: Bohmian mechanics and Newtonian quantum mechanics (a.k.a. many interacting worlds). In both cases I argue that, if the interpretation is formulated properly, the symmetry dichotomy can be derived and need not be postulated.

Additional Information

I would like to sincerely thank David Baker, Eddy Keming Chen, Laura Ruetsche, and anonymous reviewers for helpful feedback on drafts of this paper, Adam Caulton and Sheldon Goldstein for useful discussion, and the audience at the So Cal Philosophy of Physics Reading Group--in particular Jeffrey Barrett and Benjamin Feintzeig.

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