CONTENTS

1. Introduction
2. Optimal Control Theory
   1. Basic Formalism
   2. Additional Restrictions on Laser Pulse

   C. Photodissociation

3. Methods for Solving the Optimal Control Problem
   1. Conjugate Gradient Method
   2. Iterative Methods

IV. The

1. Theoretical Formulation
2. Illustrative Examples

Electric Nuclear Born–Oppenheimer Approximation

5. Solution of Time-Dependent Schro ̈ dinger Equation
   1. The Split-Operator Fourier Grid Method
   2. Expansion in a Basis
6. Analytic Design of Optimal Laser Pulses
7. Summary

Appendix A. Variation of the Objective Functional and Derivation of the Optimal Control Equations

Appendix B. Optimal Control Equations for Photodissociation
Appendix C. Derivative of the Objective Functional
Appendix D. Various Conjugate Gradient Methods
Appendix E. Detailed Description of Krotov Iterative Method for Solving the Optimal Control Equations