Charge and Energy Transfer Dynamics in Molecular Systems

I NTRODUCTION

ELECTRONIC AND VIBRATIONAL MOLECULAR STATES
Introduction
Molecular Schrödinger Equation
Born-Oppenheimer Separations
Electronic Structure Methods
Potential Energy Surfaces
Adiabatic versus Diabatic Representation of the Molecular Hamiltonian
Condensed Phase Approaches
Supplement

DYNAMICS OF ISOLATED AND OPEN QUANTUM SYSTEM
Introduction
Time-Dependent Schrödinger Equation
The Golden Rule of Quantum Mechanics
The Nonequilibrium Statistical Operator and the Density Matrix
The Reduced Density Operator and the Reduced Density Matrix
Quantum Mater Equation
The Reservoir Correlation Function
Reduced Density Matrix in Energy Representation
Coordinate and Wigner Representation of the Reduced Density Matrix
The Path Integral Representation of the Density Matrix
Hierarchy Equations of Motion Approach
Coherent to Dissipative Dynamics of a Two-Level System
Trajectory-Based Methods
Generalized Rate Equations: The Liouville Space Approach
Supplement

INTERACTION OF MOLECULAR SYSTEMS WITH RADIATION FIELDS
Introduction
Absorption of Light
Nonlinear Optical Response
Field Organization and Spontaneous Emission of Light

VIBRATIONAL DYNAMICS: ENERGY REDISTRIBUTION, RELAXATION, AND DEPHASING
Introduction
Intramolecular Vibrational Energy Redistribution
Intermolecular Vibrational Energy Relaxation
Polyatomic Molecules in Solution
Quantum-Classical Approaches to Relaxation and Dephasing

INTRAMOLECULAR ELECTRONIC TRANSITIONS
Introduction
The Optical Absorption Coefficient
Absorption Coefficient and Dipole-Dipole Correlation Function
The Emission Spectrum
Optical Preparation of an Excited Electronic State
Internal Conversion Dynamics
Supplement

ELECTRON TRANSFER
Classification of Electron Transfer Reactions
Theoretical Models for Electron Transfer Systems
Regimes of Electron Transfer
Nonadiabatic Electron Transfer in a Donor-Acceptor Complex
Bridge-Mediated Electron Transfer
Nonequilibrium Quantum Statistical Description of Electron Transfer
Heterogeneous Electron Transfer
Charge Transmission through Single Molecules
Photoinduced Ultrafast Electron Transfer
Supplement

PROTON TRANSFER
Introduction
Proton Transfer Hamiltonian
Adiabatic Proton Transfer
Nonadiabatic Proton Transfer
The Intermediate Regime: From Quantum to Quantum-Classical Hybrid Methods
Proton-Coupled Electron Transfer

EXCITATION ENERGY TRANSFER
Introduction
The Aggregate Hamiltonian
Exciton-Vibrational Interaction
Regimes of Excitation Energy Transfer
Transfer Dynamics in the Case of Weak Excitonic Coupling: Förster Theory
Transfer Dynamics in the Case of Strong Excitonic Coupling
Optical Properties of Aggregates
Excitation Energy Transfer Including Charge Transfer States
Exciton-Exciton Annihilation
Supplement

INDEX