Communication: Quantum mechanics without wavefunctions

Jeremy Schiff, Bill Poirier

Research output: Contribution to journalArticlepeer-review

53 Scopus citations


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.

Original languageEnglish
Article number031102
JournalJournal of Chemical Physics
Issue number3
StatePublished - 21 Jan 2012

Bibliographical note

Funding Information:
This work was supported by grants from the Robert A. Welch Foundation (D-1523) and the National Science Foundation (NSF) (CHE-0741321). Travel support from the US-Israel Binational Science Foundation (BSF-2008023) is also acknowledged.


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