{ "id": "math-ph/9902001", "version": "v2", "published": "1999-02-01T04:04:53.000Z", "updated": "1999-05-14T05:13:30.000Z", "title": "Spontaneous Transitions in Quantum Mechanics", "authors": [ "E. Prodan" ], "comment": "An error was found and eliminated", "journal": "J. Phys. A: Math. and General 32 (1999) 4877-4881", "doi": "10.1088/0305-4470/32/26/306", "categories": [ "math-ph", "hep-th", "math.MP", "quant-ph" ], "abstract": "The problem of spontaneous pair creation in static external fields is reconsidered. A weak version of the conjecture proposed by G Nenciu (1980) is seated and proved. The method reduces the proof of the general conjecture to the study of the evolution, associated with a time dependent Hamiltonian, of a vector which is eigenvector of this Hamiltonian at some given time. Possible ways of proving the general conjecture are discussed.", "revisions": [ { "version": "v2", "updated": "1999-05-14T05:13:30.000Z" } ], "analyses": { "keywords": [ "quantum mechanics", "spontaneous transitions", "general conjecture", "time dependent hamiltonian", "static external fields" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 1999, "month": "Jul", "volume": 32, "number": 26, "pages": 4877 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "1999JPhA...32.4877P" } } }