Prodan, E. Spontaneous transitions in quantum mechanics. (English) Zbl 0992.81090 J. Phys. A, Math. Gen. 32, No. 26, 4877-4881 (1999). Summary: The problem of spontaneous pair creation in static external fields is reconsidered. A weak version of the conjecture proposed by G. Nenciu [Commun. Math. Phys. 76, 117-280 (1980)] is stated and proved. The method reduces the proof of the general conjecture to the study of the evolution associated with the time-dependent Hamiltonian, \(H_\varepsilon(t)\), of a vector which is the eigenvector of \(H_\varepsilon(t)\) at some given time. A possible way of proving the general conjecture is discussed. Cited in 2 Documents MSC: 81V10 Electromagnetic interaction; quantum electrodynamics 81U99 Quantum scattering theory Keywords:pair creation in static external fields; time-dependent Hamiltonian PDFBibTeX XMLCite \textit{E. Prodan}, J. Phys. A, Math. Gen. 32, No. 26, 4877--4881 (1999; Zbl 0992.81090) Full Text: DOI arXiv