Test-Particle Theory for Quantum Plasmas

Abstract
The analysis of a classical plasma in terms of dressed test particles is well known. In this paper, the theory is extended to inhomogeneous quantum plasmas with Coulomb interactions between particles. The Wigner one- and two-particle distribution functions are expressed in terms of a test-particle response function for the plasma. These relations are derived from the operator form of the equations of motion for a quantum plasma. The results for homogeneous systems and for classical systems are obtained as special cases of the general result. A superposition theorem for fluctuations is also given.

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