• Citer

Non-analytic density expansion of transport coefficients in the quantum Lorentz gas and weak-coupling appriximation

par Resibois, Pierre ;Velarde, Manuel G.
Référence Physica, 51, 4, page (541-560)
Publication Publié, 1971-02

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

We analyze the formal density of the diffusion coefficient in a quantum Lorentz gas. We show that there exists a diverging contribution (to order ρ{variant}o in two dimensions, to order ρ{variant}1 in three dimensions) which has exactly the same structure as in the classical case. In contrast to this latter case, the divergence persists when the scattering cross sections are described by finite-order perturbation calculus; in the classical limit, however, this weak-coupling description does not show up this non-analytic behaviour any more. © 1971.