Abstract
Inequalities derived in an earlier paper are investigated for extended one-component systems perturbated by longitudinal fields. A new sum rule first derived by PUFF plays a central role. For interactions with finite range the frequencies of elementary excitations related to density oscillations must go to zero with the wave number. There are two lower bounds for density fluctuations, one for thermal and the other for quantum fluctuations. In a plasma with homogeneous background the long range of the interactions suppresses fluctuations of particle number. The new sum rule is modified in such a way that plasma oscillations (with finite frequency for zero wave number) become possible in accordance with the stability conditions. Lower bounds for the range of pair correlations in a plasma are derived. They give the exact ranges for the classical and the ground state plasma. For low temperatures and densities the pair distribution function must show strong oscillations.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
