Classical wave equation scalar normal modes and Green functions for confocal hyperboloidal electrodes

Authors

  • N. Aquino
  • E. Castaño
  • E. Ley-Koo
  • S.E. Ulloa

Keywords:

Classical wave equation, normal modes, Green functions, scanning tunneling microscopy, Casimir effect

Abstract

The scalar normal modes and Green functions for the classical wave equation subject to Dirichlet and Neumann boundary conditions on confocal hyperboloidal surfaces, which model the shapes of the electrodes in a scanning tunneling microscope or a conductor-insulator-conductor junction, are explicitly constructed. These modes and functions are of interest as possible starting points for the study of the Casimir effect between the electrodes of such devices.

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Published

2004-01-01

How to Cite

[1]
N. Aquino, E. Castaño, E. Ley-Koo, and S. Ulloa, “Classical wave equation scalar normal modes and Green functions for confocal hyperboloidal electrodes”, Rev. Mex. Fis. E, vol. 50, no. 1 Jan-Jun, pp. 54–60, Jan. 2004.

Issue

Vol. 50 No. 1 Jan-Jun (2004): Revista Mexicana de Física E

Section

Artículos

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