It is proved that the Stark-Wannier states, as functions of the electric field, are analytic in a disc tangential to the real axis at the origin, with asymptotic expansion to the second order which coincides with the Wannier approximation up to the first order.
Analyticity and asymptotics for the Stark-Wannier states / Bentosela, F.; Caliceti, E.; Grecchi, V.; Maioli, Marco; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 21:(1988), pp. 3321-3331.
Analyticity and asymptotics for the Stark-Wannier states
MAIOLI, Marco;SACCHETTI, Andrea
1988
Abstract
It is proved that the Stark-Wannier states, as functions of the electric field, are analytic in a disc tangential to the real axis at the origin, with asymptotic expansion to the second order which coincides with the Wannier approximation up to the first order.
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