On some generalized stopping power sum rules

Details On some generalized stopping power sum rules On some generalized stopping power sum rules

2001-06-12

arxiv.org/abs/physics/0106034v1

Physics

Plasma Physics

2 figures, LaTeX

Scientific paper

10.1016/S0375-9601(02)00250-5

The Lindhard-Winther (LW) equipartition sum rule shows that within the linear response theory, the stopping power of an energetic point-charge projectile in a degenerate electron gas medium, receives equal contributions from single-particle and collective excitations in the medium. In this paper we show that the LW sum rule does not necessarily hold for an extended projectile ion and for ion-clusters moving in a fully degenerate electron gas. We have derived a generalized equipartition sum rule and some related sum rules for this type of projectiles. We also present numerical plots for He$^{+}$ ion and He$^{+}$ ion-clusters.

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