
TY  - JOUR
A1  - M Hayes, Leith 
A1  - Melrose, DB 
T1  - Dispersion in a Relativistic Quantum Electron Gas. I. General Distribution Functions
JF  - Australian Journal of Physics
JO  - Aust. J.  Phys.
Y1  - 1984
VL  - 37
IS  - 6
SP  - 615
EP  - 638
KW  - 
UR  - https://doi.org/10.1071/PH840615 
N2  - The covariant response tensor for a relativistic electron gas is calculated in two ways. One involves introducing a four-dimensional generalization of the electron-positron occupation number, and the other is a covariant generalization of a method due to Harris. The longitudinal and transverse parts are. evaluated for an isotropic electron gas in terms of three plasma dispersion functions, and the contributions from Landau damping and pair creation to the dispersion curve are identified separately. The long-wavelength limit and the non-quantum limit, with first quantum corrections, are found. The plasma dispersion functions are evaluated explicitly for a completely degenerate relativistic electron gas, and a detailed form due to Jancovici is reproduced. 
ER  -

