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Correction terms to the λ2t-limit of van Hove by the Liouville operator method

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  • Loss, Daniel

Abstract

A large isolated quantum many-body system described by a Hamiltonian of the form H = H0 + λV is considered. In view of the calculation of transport coefficients general expressions to arbitrary order in λ are derived for the asymptotic values of the time integrals of matrix elements of Heisenberg operators. Thereby use is made of the superoperator formalism, in particular of the Liouville operator, the resolvent of which is the starting-point for a perturbation treatment to general order in λ. The leading part of order λ−2 in the obtained power series for diagonal operators (i.e. diagonal with respect to the eigenstates of the unperturbed Hamiltonian H0) corresponds to the asymptotic value of a time integral calculated in the λ2t-limit introduced by van Hove.

Suggested Citation

  • Loss, Daniel, 1986. "Correction terms to the λ2t-limit of van Hove by the Liouville operator method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 505-525.
    • Handle: RePEc:eee:phsmap:v:139:y:1986:i:2:p:505-525
    DOI: 10.1016/0378-4371(86)90134-2
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