## Solid State Physics of Finite Systems: Metal Clusters, Fullerenes, Atomic WiresQuantum mechanics is the set of laws of physics which, to the best of our knowledge, provides a complete account of the microworld. One of its chap ters, quantum electrodynamics (QED), is able to account for the quantal phenomena of relevance to daily life (electricity, light, liquids and solids, etc.) with great accuracy. The language of QED, field theory, has proved to be uni versal providing the theoretical basis to describe the behaviour of many-body systems. In particular finite many-body systems (FMBS) like atomic nuclei, metal clusters, fullerenes, atomic wires, etc. That is, systems made out of a small number of components. The properties of FMBS are expected to be quite different from those of bulk matter, being strongly conditioned by quantal size effects and by the dynamical properties of the surface of these systems. The study of the elec tronic and of the collective behaviour (plasmons and phonons) of FMBS and of their interweaving, making use of well established first principle quantum (field theoretical) techniques, is the main subject of the present monograph. The interest for the study of FMBS was clearly stated by Feynman in his address to the American Physical Society with the title "There is plenty of room at the bottom". On this occasion he said among other things: "When we get to the very, very small world - say circuits of seven atoms - we have a lot of new things that would happen that represent completely new opportunities for design" [1]. |

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### Contents

1 | |

Overview | 7 |

Electronic Structure | 35 |

Electronic Response to TimeDependent Perturbations 61 | 60 |

Applications to Carbon Structures and Metal Clusters | 79 |

Harmonic Approximation 105 | 104 |

### Other editions - View all

Solid State Physics of Finite Systems: Metal Clusters, Fullerenes, Atomic Wires R.A. Broglia,G. Coló,G. Onida,H.E. Roman No preview available - 2010 |

### Common terms and phrases

Appendix approximation associated atoms carbon nanotubes Chap Chem configuration Cooper pairs coordinate correlation corresponding Coulomb interaction coupling constants defined degrees of freedom density Density Functional Theory derivative diagonal dipole discussed displayed eigenvalues eigenvectors electron-phonon coupling electron-plasmon coupling EWSR excitations experimental fact Fermi energy fermions frequencies fullerenes fullerides Hamiltonian harmonic Hartree–Fock HOMO ionic ions kinetic energy Kohn-Sham equations Lett linear chains LUMO many-body matrix elements mean field metal clusters method molecular dynamics motion multipole nanotubes non-local normal modes nuclei obtained orbitals oscillator parameters particle particle-hole peaks perturbation phonon Phys plasmon potential pseudopotentials quantity quantum numbers quasiparticle R.A. Broglia relation representations respectively response Schrödinger equation Sect self-consistent shown single-particle solid spectrum spherical harmonics structure superconductivity symmetry Table TDLDA temperature theory tion transition unperturbed values Vext vibrational Vpert wavefunctions write zero