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The density matrix of an infinite muffin‐tin system and mutually avoiding scattering paths
Author(s) -
Lenk R.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221330237
Subject(s) - propagator , density matrix , scattering , superposition principle , quantum field theory , physics , mathematical physics , quantum mechanics , quantum
For independent quantum particles moving in an infinite ordered or disordered array of spherically symmetric scatterers the density matrix and related quantities for the incident field are represented via the superposition of all scattered waves. The corresponding formulae contain products of two propagators which are defined for mutually avoiding scattering paths. Therefore the usual vertex effects disappear. The new formulation forms a sound mathematical base for earlier trials. It is valid also for stationary non‐equilibrium situations and can therefore be employed to construct a non‐classical transport theory.