{ "id": "1603.02215", "version": "v1", "published": "2016-03-07T19:28:29.000Z", "updated": "2016-03-07T19:28:29.000Z", "title": "A hidden variables model for non-relativistic quantum mechanics in terms of probabilities of particle paths", "authors": [ "Emilio Santos" ], "categories": [ "quant-ph" ], "abstract": "Ii is proved that in non-relativistic quantum mechanics (without spin) the transition probability may be described in terms of particle paths, every path having a (positive) probability. This leads to a stochastic hidden variables theory providing an intuitive picture of particle motion. The change of velocity at every time has a probability that depends on the potential over a large region, at a difference with the local action of classical dynamics. Thus the hidden variables theory is non-local. The theory solves some of the difficulties of Bohm's.", "revisions": [ { "version": "v1", "updated": "2016-03-07T19:28:29.000Z" } ], "analyses": { "keywords": [ "non-relativistic quantum mechanics", "hidden variables model", "particle paths", "stochastic hidden variables theory", "transition probability" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }