We consider time-independent Schrodinger equations in one dimension with both periodic and Stark potentials. By means of an iterative procedure we obtain a formal power series for the Wannier-Stark ladders. In the case of strongly singular periodic potentials we prove that such a formal power series is of Gevrey type.
Gevrey formal power series of Wannier-Stark ladders / Maioli, Marco; Sacchetti, Andrea. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 37:(2004), pp. 2371-2383. [10.1088/0305-4470/37/6/027]
Gevrey formal power series of Wannier-Stark ladders
MAIOLI, Marco;SACCHETTI, Andrea
2004
Abstract
We consider time-independent Schrodinger equations in one dimension with both periodic and Stark potentials. By means of an iterative procedure we obtain a formal power series for the Wannier-Stark ladders. In the case of strongly singular periodic potentials we prove that such a formal power series is of Gevrey type.
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