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Approximate Stabilization of One-dimensional Schrödinger Equations in Inhomogeneous Media

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Abstract

We present how to control the bilinear 1D infinite-dimensional Schrödinger equations in inhomogeneous media (with x-dependent coefficients), getting the approximate stabilization around ground state. Our arguments are based on constructing a Lyapunov function and a strategy similar to LaSalle invariance principle.

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Authors and Affiliations

  1. College of Mathematics, Jilin University, Changchun, 130012, P.R. China

    Jian Zu

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  1. Jian Zu
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Correspondence to Jian Zu.

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Communicated by Viorel Barbu.

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Zu, J. Approximate Stabilization of One-dimensional Schrödinger Equations in Inhomogeneous Media. J Optim Theory Appl 153, 758–768 (2012). https://doi.org/10.1007/s10957-011-9949-5

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  • DOI: https://doi.org/10.1007/s10957-011-9949-5

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