Inequalities for frequency-moment sum rules of electron liquids
Abstract
The relations between the various frequency-moment sum rules of electron liquids, which include even-power moments, are systematically examined by using the Cauchy-Schwarz and Hölder inequalities. A relation involving the isothermal sound velocity and the kinetic and potential energies is obtained from one of the inequalities in the long-wavelength limit, and is generalized to arbitrary spatial dimensions.
- Publication:
-
Physical Review A
- Pub Date:
- March 1986
- DOI:
- 10.1103/PhysRevA.33.1940
- Bibcode:
- 1986PhRvA..33.1940I
- Keywords:
-
- Coulomb Potential;
- Dielectrics;
- Electrons;
- Sum Rules;
- Thermodynamic Equilibrium;
- Acoustic Velocity;
- Kinetic Energy;
- Monte Carlo Method;
- Solid-State Physics;
- 05.30.Fk;
- 71.45.Gm;
- Fermion systems and electron gas;
- Exchange correlation dielectric and magnetic response functions plasmons