Quantum Mechanical Description of Solids

  • F. Williams
Part of the NATO Advanced Science Institute Series book series (NSSB, volume 88)


Condensed matter is a many-body problem in quantum mechanics. The many-electron and many-atom systems are separated from each other by the adiabatic approximation. These two many-body problems are then treated differently: the electron problem in the Hartree-Fock approximation leading to single electron states and specifically to band structure for crystals; the atomic dynamics of crystals as collective excitations which when quantized lead to phonons. Collective excitations of electrons are then considered and plasmons formulated. Some general characteristics of quasi-particle and collective excitations will be discussed and inter-related where possible. In addition to intrinsic properties of solids, some of their extrinsic properties are treated theoretically, including the effects of applied stress on electronic states and vibrational levels of ions and molecules in crystals.


Adiabatic Approximation Collective Excitation Single Particle State Bloch Function Quantum Mechanical Description 
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  1. 1.
    B. Di Bartolo, “Introduction to Collective Excitations in Solids,” in this book.Google Scholar
  2. 2.
    M. Born and J. R. Oppenheimer, Ann. d. Phys. 84, 457 (1927).ADSMATHCrossRefGoogle Scholar
  3. 3.
    F. Williams, D. E. Berry, and J. E. Bernard, in Radiationless Processes, edited by B. Di Bartolo (Plenum, 1979), p. 22.Google Scholar
  4. 4.
    D. R. Hartree, Proc. Cambridge Phil. Soc. 24, 89 (1928).ADSMATHCrossRefGoogle Scholar
  5. 5.
    V. Fock, Zeits. f. Physik 61, 126 (1930).ADSMATHCrossRefGoogle Scholar
  6. 6.
    W. Kohn, “Solid State Physics 5,” (Academic Press, 1957).Google Scholar
  7. 7.
    H. Fröhloch, M. Pelzer, S. Zienau, Phil. Mag. 41, 221 (1950).Google Scholar
  8. 8.
    R. Evrard and F. Williams, in Luminescence of Inorganic Solids, edited by B. Di Bartolo (Plenum, 1977), p. 419.Google Scholar
  9. 9.
    D. Curie, D. E. Berry and F. Williams, Phys. Rev. B20, 2323 (1979).ADSGoogle Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • F. Williams
    • 1
    • 2
  1. 1.Institut fur Festkorperphysik IITechnische UniversitätBerlin 12Germany
  2. 2.Physics DepartmentUniversity of DelawareNewarkUSA

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