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First‐Order Quantum Corrections to the Current Driven by a Force and Einstein Equivalence
Author(s) -
Lenk R.
Publication year - 1990
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.2221570134
Subject(s) - propagator , superposition principle , physics , einstein , density matrix , equivalence (formal languages) , einstein relation , quantum , quantum mechanics , quantum field theory , classical mechanics , statistical physics , mathematics , pure mathematics , economics , metric (unit) , operations management
Employing a superposition representation of the density matrix for a fixed energy the first order quantum corrections to the current driven by a weak constant force are calculated for independent charge carriers scattered by uncorrelated point‐like scatterers. This complements a preceding treatment of the corresponding diffusion problem and demonstrates the Einstein equivalence as a property of the density matrix itself. The changes in kinetic energy caused by the force field lead to a reformulation of the correction terms which resemble now the known vertex structure of the Bethe‐Salpeter equation. The influence of the force is considered explicitly in the propagator construction.