Periodic Homogenization of Schrödinger type equations with rapidly oscillating potential

Abstract

This paper is devoted to the homogenization of Shrödinger type equations with periodically oscillating coefficients of the diffusion term, and a rapidly oscillating periodic time-dependent potential. One convergence theorem is proved and we derive the macroscopic homogenized model. Our approach is the well known two-scale convergence method.

arXiv commentThe document has been withdrawn due to some crucial hypotheses on the potential

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