Existence of the Stark-Wannier quantum resonances
classification
🧮 math-ph
math.MP
keywords
existenceperiodicquantumresonancesresultstark-wanniercaseelectric
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In this paper we prove the existence of the Stark-Wannier quantum resonances for one-dimensional Schrodinger operators with smooth periodic potential and small external homogeneous electric field. Such a result extends the existence result previously obtained in the case of periodic potentials with a finite number of open gaps.
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