Journal of Statistical Physics

, Volume 21, Issue 3, pp 279–288 | Cite as

Linear response and relaxation in quantum lattice systems

  • J. Naudts
  • J. V. Pulè
  • A. Verbeure


For spin-lattice systems, the Kubo formula, expressing the relaxation function in terms of the linear response function, is found to be exact in the thermodynamic limit. In addition, analyticity properties are obtained.

Key words

Quantum lattice local algebra of observables linear response function relaxation function thermodynamic limit 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    R. Kubo,J. Phys. Soc. Japan 12:570 (1957).Google Scholar
  2. 2.
    R. Kubo, inSynergetics, H. Haken, ed. (Teubner, Stuttgart, 1973).Google Scholar
  3. 3.
    N. G. van Kampen,Physica Norvegica 5:3 (1971).Google Scholar
  4. 4.
    J. Naudts, A. Verbeure, and R. Weder,Comm. Math. Phys. 44:87 (1975); A. Verbeure and R. Weder,Comm. Math. Phys. 44:101 (1975).Google Scholar
  5. 5.
    J. L. Lebowitz and A. Shimony,Phys. Rev. 128:1945 (1962); E. B. Davies and H. Spohn, Open Quantum Systems with Time-Dependent Hamiltonians and Their Linear Response, Preprint (1978).Google Scholar
  6. 6.
    D. Ruelle,Statistical Mechanics (Benjamin, London, 1969).Google Scholar
  7. 7.
    R. F. Streater,Comm. Math. Phys. 6:233 (1967).Google Scholar
  8. 8.
    D. W. Robinson,Comm. Math. Phys. 7:337 (1968).Google Scholar
  9. 9.
    S. Katsura, T. Horiguchi, and M. Suzuki,Physica 46:67 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • J. Naudts
    • 1
  • J. V. Pulè
    • 2
  • A. Verbeure
    • 2
  1. 1.Universiteit AntwerpenAntwerpBelgium
  2. 2.Instituut voor Theoretische FysicaUniversiteit LeuvenLeuvenBelgium

Personalised recommendations