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FIZIKA A 10 (2001) 4 , 203-214
 
DISCRETE APPROACH TO INCOHERENT EXCITATIONS IN CONDUCTORS
PAŠKO ŽUPANOVIĆa, ALEKSA BJELIŠb and ŽELJANA
AGIĆa
aDepartment of Physics, Faculty of Science and Art,
University of Split, Teslina 10,
HR-21000 Split, Croatia
bDepartment of Physics, Faculty of Science, University of
Zagreb, POB 331,
HR-10002 Zagreb, Croatia
Dedicated to Professor Kseno Ilakovac on the occasion of his 70th
birthday
Received 21 November 2001; revised manuscript received 25 January 2002
Accepted 18 February 2002 Online 6 April 2002
While keeping the discreteness of the reciprocal space, we calculate the spectrum of
incoherent electron-hole excitations in the conducting Fermi liquids. The method is
illustrated on the well-known jellium model within the random phase approximation. It also
leads to the formulation of a sum rule from which we get the details of the dispersion
curve for the collective plasmon mode. The notion of time averaging in the discrete
approach is briefly recalled.
PACS numbers: 71.10.Ay, 71.45.Gm, 77.22.Ch
UDC 538.93, 538.95
Keywords: conducting Fermi liquids, discrete reciprocal space, incoherent
electron-hole excitations, jellium model, random phase approximation, collective plasmon
mode, dispersion curve
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