Contents -- 1 Introduction to conjugated polymers -- 2 π-electron theories of conjugated polymers -- 2.1 Introduction -- 2.2 The many body Hamiltonian -- 2.3 The Born-Oppenheimer approximation -- 2.4 Second quantization of the Born-Oppenheimer Hamiltonian -- 2.5 sp[sup(n)] hybridization -- 2.5.1 sp hybridization -- 2.5.2 sp[sup(2)] hybridization -- 2.5.3 sp[sup(3)] hybridization -- 2.5.4 Remarks -- 2.6 π-electron models -- 2.7 Electron-phonon coupling -- 2.7.1 The nuclear-nuclear potential, V[sub(n)]({u[sub(n)]}) -- 2.8 Summary of π-electron models -- 2.8.1 The Hückel model -- 2.8.2 The Su-Schrieffer-Heeger model -- 2.8.3 The Pariser-Parr-Pople model -- 2.9 Symmetries and quantum numbers -- 2.9.1 Spatial symmetries -- 2.9.2 Particle-hole symmetry -- 2.9.3 Quantum numbers -- 2.9.4 State labels -- 3 Noninteracting electrons -- 3.1 Introduction -- 3.2 The noninteracting (Hückel) Hamiltonian -- 3.3 Undimerized chains -- 3.3.1 Cyclic chains -- 3.3.2 Linear chains -- 3.4 Dimerized chains -- 3.4.1 Cyclic chains -- 3.4.2 Linear chains -- 3.5 The ground state and particle-hole excitations -- 3.5.1 The band, charge, and spin gaps -- 3.6 Symmetries -- 3.6.1 Particle-hole symmetry and particle-hole parity -- 3.6.2 Linear chains and inversion symmetry -- 4 Electron-lattice coupling I: Noninteracting electrons -- 4.1 Introduction -- 4.2 The Peierls model -- 4.3 The dimerized ground state -- 4.3.1 The Hückel '4n+2' rule -- 4.4 Self-consistent equations for {Δ[sub(n)]} -- 4.5 Solitons -- 4.5.1 Odd-site chains -- 4.5.2 Even-site chains -- 4.6 Soliton-antisoliton pair production -- 4.7 Polarons -- 4.8 Nondegenerate systems -- 4.9 The continuum limit of the Su-Schrieffer-Heeger model -- 4.10 Dynamics of the Su-Schrieffer-Heeger model -- 4.11 Self-trapping -- 4.12 Concluding remarks -- 5 Interacting electrons -- 5.1 Introduction -- 5.1.1 Broken symmetries.

5.1.2 Undimerized chains -- 5.1.3 Dimerized chains -- 5.2 The weak-coupling limit -- 5.2.1 Undimerized chains -- 5.2.2 Dimerized chains -- 5.3 The strong-coupling limit -- 5.3.1 Low-energy dimerized Heisenberg antiferromagnet -- 5.3.2 High-energy spinless fermion model -- 5.4 The phase diagram of the undoped Pariser-Parr-Pople model -- 5.5 The valence bond method -- 6 Excitons in conjugated polymers -- 6.1 Introduction -- 6.2 The weak-coupling limit -- 6.2.1 The effective-particle model -- 6.2.2 Solutions of the effective-particle model -- 6.2.3 Comparisons to the numerical calculations -- 6.2.4 Refinements of the theory -- 6.3 The strong-coupling limit -- 6.3.1 The effective-particle model -- 6.4 The intermediate-coupling regime -- 6.5 Concluding remarks -- 7 Electron-lattice coupling II: Interacting electrons -- 7.1 Introduction -- 7.2 The Pariser-Parr-Pople-Peierls model -- 7.3 Dimerization and optical gaps -- 7.4 Excited states and soliton structures -- 7.4.1 1[sup(1)]B[sup(-)][sub(u)] state -- 7.4.2 1[sup(3)]B[sup(+)][sub(u)] state -- 7.4.3 2[sup(1)]A[sup(+)][sub(g)] state -- 7.5 Polarons -- 7.6 Extrinsic dimerization -- 7.7 Self-trapping -- 7.8 Concluding remarks -- 8 Optical processes in conjugated polymers -- 8.1 Introduction -- 8.2 Linear optical processes -- 8.3 Evaluation of the transition dipole moments -- 8.3.1 The Franck-Condon principle -- 8.3.2 Electronic selection rules -- 8.3.3 Franck-Condon factors -- 8.3.4 Electronic dipole moments: Application of the exciton model -- 8.4 Nonlinear optical processes -- 8.4.1 The essential states mechanism -- 8.4.2 Third order harmonic generation -- 8.4.3 Electroabsorption -- 8.5 Size-dependencies of χ[sup(n)] -- 9 Electronic processes in conjugated polymers -- 9.1 Introduction -- 9.2 Exciton transfer -- 9.2.1 Exciton transfer integral -- 9.2.2 Coherent transfer -- 9.2.3 Incoherent transfer.

9.2.4 The density matrix approach -- 9.3 Excited molecular complexes -- 9.3.1 Excimers -- 9.3.2 Exciplexes -- 9.4 Screening of intramolecular states -- 9.5 Electron transfer -- 9.5.1 Unimolecular electron transfer -- 9.5.2 Bimolecular electron transfer -- 9.6 The singlet exciton yield in light emitting polymers -- 9.6.1 Introduction -- 9.6.2 Basic model and the rate equations -- 9.6.3 Derivation of the intermolecular interconversion rate -- 9.6.4 Estimate of the interconversion rates -- 9.6.5 Discussion and conclusions -- 10 Linear polyenes and trans-polyacetylene -- 10.1 Introduction -- 10.2 Predictions from the Pariser-Parr-Pople-Peierls model -- 10.2.1 Transition energies -- 10.2.2 Soliton structures -- 10.2.3 Adiabatic potential energy curves -- 10.3 Quantum phonons -- 10.3.1 Results and discussion -- 10.4 Character of the excited states of trans-polyacetylene -- 10.5 Other theoretical approaches -- 11 Light emitting polymers -- 11.1 Introduction -- 11.2 Poly(para-phenylene) -- 11.2.1 Benzene -- 11.2.2 Biphenyl -- 11.2.3 Oligo and poly(para-phenylenes) -- 11.3 Poly(para-phenylene vinylene) -- 11.3.1 Stilbene -- 11.3.2 Oligo and poly(para-phenylene vinylenes) -- 11.4 Other theoretical approaches -- 11.5 The excited states of light emitting polymers -- 11.6 Electron-lattice coupling -- 11.6.1 Noninteracting limit -- 11.6.2 Interacting limit -- 11.7 Concluding remarks -- A: Dirac bra-ket operator representation of one-particle Hamiltonians -- A.1 The Hückel Hamiltonian -- A.2 The exciton transfer Hamiltonian -- B: Particle-hole symmetry and average occupation number -- C: Single-particle eigensolutions of a periodic polymer chain -- C.1 Dimerized chain -- C.2 poly(para-phenylene) -- D: Derivation of the effective-particle Schrödinger equation -- E: Hydrogenic solutions of the effective-particle exciton models -- E.1 The weak-coupling limit.

E.1.1 Odd parity, even n solutions -- E.1.2 Even parity, odd n solutions -- E.1.3 Numerical results -- E.2 The strong-coupling limit -- F: Evaluation of the electronic transition dipole moments -- F.1 The weak-coupling limit -- F.1.1 Transitions between the ground state and an excited state -- F.1.2 Transitions between excited states -- F.2 The strong-coupling limit -- F.2.1 Transitions between the ground state and an excited state -- F.2.2 Transitions between excited states -- G: Valence-bond description of benzene -- H: Density Matrix Renormalization Group method -- H.1 Introduction to the real-space method -- H.1.1 Infinite algorithm method -- H.1.2 Rotation and truncation of the basis -- H.1.3 Symmetries and excited states -- H.1.4 Finite algorithm method -- H.1.5 Application to linear polyenes -- H.2 Local Hilbert space truncation -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Z.