We consider the small field asymptotics of the lifetime of metastable states in Wannier-Stark problems. Assuming that at zero field we have Bloch operators with only the first gap open and using the regular perturbation theory, we prove that the behavior of the lifetime computed by means of the Fermi Golden Rule is proportional to the correct one with the factor (pi/3)(2). The connection with adiabatic problems is briefly discussed.

Lifetime of the Wannier-Stark resonances and perturbation theory / V., Grecchi; Sacchetti, Andrea. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 185:(1997), pp. 359-378.

Lifetime of the Wannier-Stark resonances and perturbation theory

SACCHETTI, Andrea
1997-01-01

Abstract

We consider the small field asymptotics of the lifetime of metastable states in Wannier-Stark problems. Assuming that at zero field we have Bloch operators with only the first gap open and using the regular perturbation theory, we prove that the behavior of the lifetime computed by means of the Fermi Golden Rule is proportional to the correct one with the factor (pi/3)(2). The connection with adiabatic problems is briefly discussed.
185
359
378
Lifetime of the Wannier-Stark resonances and perturbation theory / V., Grecchi; Sacchetti, Andrea. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 185:(1997), pp. 359-378.
V., Grecchi; Sacchetti, Andrea
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/307150
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