Nonretarded van der waals interaction between two metal spheres

✍ Scribed by A.A. Lushnikov; A.J. Simonov

• Publisher: Elsevier Science
• Year: 1974
• Tongue: English
• Weight: 432 KB
• Volume: 28
• Category: Article
• ISSN: 0009-2614
• DOI: 10.1016/0009-2614(74)80058-8

✦ Synopsis

An approximate solution is found to an equation defting the spectrum of surface plasmons in systems of two equal metal spheres end two plane metal surfaces. The spectrum obtained is then used for calculation of the van der Weals interaction energy between these spheres at large and small separations and between the plane met21 SurfaCeS.

The energy U of the van der Waals interaction between macroscopic bodies can be expressed as a change in the zero point energy of surface charge density fluctuations which arise wilen the separation between two interacting bodies varies from infinity to .Z [II: where w, are the Surface eigenfrequencies and the following system of units is adopted: tl.= ~1 = 1 (in is the electron mass). In this note we use eq. ( 1) for calculation of the nonretarded interaction energy be-