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Communication: Quantum mechanics without wavefunctions

Jeremy Schiff, Bill Poirier
2012 Journal of Chemical Physics  
We present a self-contained formulation of spin-free nonrelativistic quantum mechanics that makes no use of wavefunctions or complex amplitudes of any kind. Quantum states are represented as ensembles of real-valued quantum trajectories, obtained by extremizing an action and satisfying energy conservation. The theory applies for arbitrary configuration spaces and system dimensionalities. Various beneficial ramifications - theoretical, computational, and interpretational - are discussed.
doi:10.1063/1.3680558 pmid:22280737 fatcat:qc3r2edmejawjjyod3wsyethd4