Abstract
AbstractAnharmonic effects of the Coulomb‐lattice vibrations are investigated by the time‐deendent s.c.f.‐method. In contrast to the traditional treatment using the lattice theory of Born there are higher branches in the dispersion relation of the lattice vibrations which represent anharmonic elementary excitations. In the harmonic oscillator approximation for the low s.c.f.‐states, which is justified for sufficient lylow density, Kohn's sum rule is generalized to include the anharmonic branches. Taking into account anharmonic branches, the instability of the lattice state above a certain density is indicated by imaginary eigenfrequencies in the transverse vibration mode. The contribution of the anharmonic branches to the zero‐point energy is evaluated.
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