Determinantal solution of the density matrix in quantum transport theory
André Fortini
A new method previously elaborated on in time-dependent quantum mechanics is recalled and used to establish, on the basis of the unperturbed Hamiltonian, explicit and tractable expressions of the long-term density matrix, well suited to transport problems. A constant collision potential and a constant external field, switched on at t=0, are assumed. As an illustration, the general results are applied to the quantum theory of electrical conductivity in the case of quasifree electrons.
Physical review. B, Condensed matter•May 15, 1989•3 citations