A Note on Optimal Control Problem Governed by
Schrödinger Equation

• Authors: Yusuf Koçak , Ercan Çelik , Nigar Yıldırım Aksoy
• Languages of publication: EN

Abstracts

EN

In this work, we present some results showing
the controllability of the linear Schrödinger equation with
complex potentials. Firstly we investigate the existence
and uniqueness theorem for solution of the considered
problem. Then we find the gradient of the cost functional
with the help of Hamilton-Pontryagin functions. Finally
we state a necessary condition in the form of variational
inequality for the optimal solution using this gradient.

Keywords

EN

Schrödinger equation; Optimal Control; Hamilton-Pontryagin functions; Fréchet derivative

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

accepted

26 - 11 - 2015

received

28 - 9 - 2015

online

31 - 12 - 2015

Contributors

author

Yusuf Koçak

• Department of Mathematics,
  Ağrı İbrahim Çeçen Universty,Faculty of Science and
  Art,Ağrı,Turkey

author

Ercan Çelik

• Department of Mathematics, Ataturk University,
  Faculty of Science, Erzurum, Turkey

author

Nigar Yıldırım Aksoy

• Department of Mathematics, Kafkas University,
  Faculty of Science and Art, Kars, Turkey

References

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Identifiers

DOI

10.1515/phys-2015-0051