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Semicrystal with a singular potential in an accelerating electric field

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Abstract

We study the Schrödinger equation describing the one-dimensional motion of a quantum electron in a periodic crystal placed in an accelerating electric field. We describe the asymptotic behavior of equation solutions at large values of the argument. Analyzing the obtained asymptotic expressions, we present rather loose conditions on the potential under which the spectrum of the corresponding operator is purely absolutely continuous and spans the entire real axis.

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Authors and Affiliations

  1. St. Petersburg State University, St. Petersburg, Russia

    A. A. Pozharskii

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  1. A. A. Pozharskii
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 410–428, March, 2006.

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Pozharskii, A.A. Semicrystal with a singular potential in an accelerating electric field. Theor Math Phys 146, 343–360 (2006). https://doi.org/10.1007/s11232-006-0044-2

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  • DOI: https://doi.org/10.1007/s11232-006-0044-2

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