paper

Interpretation of wave function by coherent ensembles of trajectories

arXiv:2407.09277 · doi:10.1134/S1547477124701826

Abstract

We re-use some original ideas of de~Broglie, Schrödiger, Dirac and Feynman to revise the ensemble interpretation of wave function in quantum mechanics. To this end we introduce coherence (auto-concordance) of ensembles of quantum trajectories in the space-time. The coherence condition accounts phases proportional to classical action, which are in foundation of the Feynman path integral technique. Therefore, our interpretation is entirely based on well-known and tested concepts and methods of wave mechanics. Similarly to other ensemble interpretations our approach allows us to avoid all problems and paradoxes related to wave function collapse during a measurement process. Another consequence is that no quantum computation or quantum cryptography method will ever work if it assumes that a particular q-bit represents the entire wave function.

RevTeX, 5 pages (each English and Russian versions); v2: minor corrections; v3: post-publication additional references [33]-[36]

References in corpus (5)