By Kimball A. Milton, Michael Bordag

QFEXT is the prime overseas convention held each years, highlighting development in quantum vacuum strength phenomena, the Casimir impact, and similar themes, either experimentally and theoretically. This court cases quantity, that includes contributions from a number of the key avid gamers within the box, serves as a definitive resource of data in this topic, that's enjoying an more and more very important position in nanotechnology and in figuring out basic concerns in physics comparable to renormalization and within the look for new physics together with 5th forces and darkish strength.

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6, chapter 10, and in Ref. 5. The trace is over the orbital momentum indices l and l and over the indices s, s = 1, 2. , terms with s = s are present. This mixing and the specific structure of the (s,s ) matrices Nl,l following from the vector structure of the electromagnetic field make the calculation of the asymptotic expansion considerably more involved as compared to the scalar case. These also result in logarithmic contributions. The results found in Ref. 5 10−6 . (7) The contributions to α can be split into three parts, α = a1 + α2 + α3 .

The splitting into α2 and α3 was made since α2 could be calculated analytically, whereas α3 could be calculated in the final steps only numerically. It must be mentioned that α2 gives the dominating contribution to the corrections. It is unexpectedly large. The logarithmic contributions appear in α3 , however these go with quite small numerical factors in front. In must be mentioned that the result (7) is not in agreement with the numerical findings in Refs. 4. 12 At the moment this must be considered an opened problem.

B819:431–452, 2009. 5-mazzitelli 38 USING BOUNDARY METHODS TO COMPUTE THE CASIMIR ENERGY F. C. LOMBARDO1 , F. D. MAZZITELLI1 , and P. I. VILLAR1,2 1 Departamento de F´ısica Juan Jos´ e Giambiagi, FCEyN UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabell´ on I, 1428 Buenos Aires, Argentina 2 Computer Applications on Science and Engineering Department, Barcelona Supercomputing Center (BSC), 29, Jordi Girona 08034 Barcelona, Spain We discuss new approaches to compute numerically the Casimir interaction energy for waveguides of arbitrary section, based on the boundary methods traditionally used to compute eigenvalues of the 2D Helmholtz equation.

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