Quantum Mechanics Without Wavefunctions

Abstract

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.

11 pages, accepted to appear in Journal of Chemical Physics

References in corpus (3)

• Computing the wavefunction from trajectories: particle and wave pictures in quantum mechanics and their relation
• Hydrodynamic construction of the electromagnetic field
• From a Mechanical Lagrangian to the Schrödinger Equation. A Modified Version of the Quantum Newton's Law

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