Quantum Control of Molecular Dynamics

The following sections are included:

• Introduction

• Quantum Control of Nuclear Dynamics

  • Time-Dependent Schrödinger Equation for Nuclear Wave Packets

    • Born-Oppenheimer (BO) Hamiltonian

    • Time-Propagation of Nuclear Wave Packets

  • Overview of Optical Control by Laser Pulses

    • Two-Electronic-State Model

    • One-Electronic-State Model

• Pulse Design by Optimal Control Theory

  • Global Control Method

    • Wave Function Formalism

    • Density Matrix Formalism

    • Relation between the Schrödinger Formalism and the Density Matrix Formalism

    • Calculation Algorithms

    • Perturbative Treatments

    • Other Optimal Control Methods

  • Local Control Method

• Preliminary Results Using the Local Control Method

  • Population Control

    • Population Inversion of a Two-Level System

    • Population Inversion of a Three-level System

  • Wave Packet Control

    • Displaced Harmonic Oscillator Model

    • Displaced Morse Oscillator Model

• Application of the Local Control Method to Photochemical Reactions

  • Control of Photo-isomerization

  • Quantum Control of NaI Predissociation

    • Wave Packet-Shaping Scheme

    • Pump-Dump Control Scheme

• Application of the Optimal (Global) Method to the Control of Intramolecular Vibrational-Energy Redistribution (IVR) Processes

• Concluding Remarks

• Acknowledgment

• References