Perturbation expansion around the nominal value of external field amplitude in molecular optimal control theory


Kaman T., Demiralp M.

International Conference of Numerical Analysis and Applied Mathematics, Chalkis, Greece, 10 - 14 September 2004, pp.185-188 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Chalkis
  • Country: Greece
  • Page Numbers: pp.185-188

Abstract

This work deals with the control of one dimensional quantum harmonic oscillator under an external field with a linear dipole function. Our purpose is to expand the external field into a perturbation expansion around its nominal value. The objective operator whose expectation value is aimed at a prescribed target value at the final interaction instant and the penalty operator whose expectation value is to be suppressed during the interaction with the field are assumed to be linearly dependent on position and momentum operators. (c) 2004 WILEY-NCH Verlag GmbH & Co. KGaA, Weinheim.