D Langbein 1973 J. Phys. A: Math. Nucl. Gen. 6 1149 doi:10.1088/0305-4470/6/8/011
D Langbein
Show affiliationsThe allowed electromagnetic modes in the presence of a symmetric array of macroscopic bodies are investigated. They are systematically classified by their behaviour with respect to the different symmetry operations. In the presence of two bodies the modes are required to be even or odd, in the presence of lattices Floquet's theorem is applied, The van der Waals (vdW) energy of the array under consideration is calculated from the average quantum energy of the electromagnetic modes. Since finite boundary conditions are used, no difficulties regarding branch points and different Riemann surfaces are encountered. Closed expressions for the vdW energy in periodic lattices of spheres or cylinders are obtained which can be explicitly evaluated at a reasonable rate of effort.
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
14H55 Riemann surfaces; Weierstrass points; gap sequences (See also 30Fxx)
Issue 8 (1 August 1973)
D Langbein 1973 J. Phys. A: Math. Nucl. Gen. 6 1149
Fan Zhanguo et al 1989 Supercond. Sci. Technol. 2 43
G K Pandey et al 1974 J. Phys. C: Solid State Phys. 7 1242
Avijit Mukherjee et al JHEP11(2004)002
D Gómez-Ullate et al 2004 New J. Phys. 6 24
Simon L. Lyakhovich and Alexey A. Sharapov JHEP03(2005)011
Stephen D Antolovich et al 1973 J. Phys. D: Appl. Phys. 6 560
Roberto Iengo et al JHEP11(2009)020
R. D'Auria et al JHEP07(2008)059
Hillary R Irons et al 2008 J. Neural Eng. 5 333