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5 papers · 2 filters
Roughness correction to the Casimir force : Beyond the Proximity Force Approximation
Paulo A. Maia Neto, Astrid Lambrecht, Serge Reynaud
We calculate the roughness correction to the Casimir effect in the parallel plates geometry for metallic plates described by the plasma model. The calculation is perturbative in th…
A product formula and combinatorial field theory
A. Horzela, P. Blasiak, G. H. E. Duchamp +2
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - e…
Partition functions and graphs: A combinatorial approach
Allan I. Solomon, Pawel Blasiak, Gerard Duchamp +2
Although symmetry methods and analysis are a necessary ingredient in every physicist's toolkit, rather less use has been made of combinatorial methods. One exception is in the real…
A modulated mirror for atomic interferometry
C. Henkel, A. M. Steane, R. Kaiser +1
A novel atomic beam splitter, using reflection of atoms off an evanescent light wave, is investigated theoretically. The intensity or frequency of the light is modulated in order t…
One-parameter groups and combinatorial physics
Gerard Duchamp, Karol A. Penson, Allan I. Solomon +2
In this communication, we consider the normal ordering of sums of elements of the form (a*^r a a*^s), where a* and a are boson creation and annihilation operators. We discuss the i…