E Prodan 1999 J. Phys. A: Math. Gen. 32 4877 doi:10.1088/0305-4470/32/26/306
Spontaneous transitions in quantum mechanics
E Prodan
Show affiliationsThe problem of spontaneous pair creation in static external fields is reconsidered. A weak version of the conjecture proposed by Nenciu (1980 Commun. Math. Phys. 76 117-28) 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
(t), of a vector which is the eigenvector of H(t) at some given time. A possible way of proving the general conjecture is discussed.
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Issue 26 (2 July 1999)
Received 21 November 1998, in final form 6 April 1999
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Spontaneous transitions in quantum mechanics
E Prodan 1999 J. Phys. A: Math. Gen. 32 4877
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