We prove that the small field asymptotic behaviour of the Stark-Wannier ladders near the real direction is generically highly singular. This result is in agreement with the conjecture of a chaotic behaviour of the lifetime of the states because of infinitely many crossings.
Horn of singularities for the Stark-Wannier ladders / V., Grecchi; Maioli, Marco; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 24:(1991), pp. 4275-4282.
Horn of singularities for the Stark-Wannier ladders
MAIOLI, Marco;SACCHETTI, Andrea
1991
Abstract
We prove that the small field asymptotic behaviour of the Stark-Wannier ladders near the real direction is generically highly singular. This result is in agreement with the conjecture of a chaotic behaviour of the lifetime of the states because of infinitely many crossings.
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