A Note on Optimal Control Problem Governed by Schrodinger Equation

Kocak Y., ÇELİK E., Aksoy N. Y.

OPEN PHYSICS, cilt.13, sa.1, ss.407-413, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/phys-2015-0051
  • Dergi Adı: OPEN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.407-413
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this work, we present some results showing the controllability of the linear Schrodinger 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.