title: Communication: quantum mechanics without wavefunctions.
abstract: We present a self-contained formulation of spin-free non-relativistic 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.
authors.affiliation: Department of Mathematics, Bar-Ilan University, Ramat Gan 52900, Israel. schiff@math.biu.ac.il
authors.forename: Jeremy
authors.initials: J
authors.lastname: Schiff
authors.forename: Bill
authors.initials: B
authors.lastname: Poirier
mesh_terms: D011789:Quantum Theory