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On the Control Problem for Schrödinger Operators on Tori

Part of the Lecture Notes in Mathematics book series (LNM,volume 2116)

Abstract

We consider the linear Schrödinger equation on the three dimensional torus with a bounded spatially dependent potential and prove controllability. This extends the earlier work due to Burq, Zworski and the author in the two dimensional case.

Keywords

  • Coordinate Projection
  • Affirmative Answer
  • Dependent Potential
  • Controllability Property
  • Dimensional Quantum

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References

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Acknowledgements

Research supported in part by NSF Grants DMS 1301619.

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Correspondence to Jean Bourgain .

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© 2014 Springer International Publishing Switzerland

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Bourgain, J. (2014). On the Control Problem for Schrödinger Operators on Tori. In: Klartag, B., Milman, E. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 2116. Springer, Cham. https://doi.org/10.1007/978-3-319-09477-9_8

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