Casimir forces between arbitrary compact objects
By T. Emig, R. Jaffe. 2007
235 citations recorded by the source corpus.
We develop an exact method for computing the Casimir energy between arbitrary compact objects, both with boundary conditions for a scalar field and dielectrics or perfect conductors for the electromagnetic field. The energy is obtained as an interaction between multipoles, generated by quantum source or current fluctuations. The objects' shape and composition enter only through their scattering matrices. The result is exact when all multipoles are included, and converges rapidly. A low-frequency expansion yields the energy as a series in the ratio of the objects' size to their separation. As examples, we obtain this series for two spheres with Robin boundary conditions for a scalar field and dielectric spheres for the electromagnetic field. The full interaction at all separations is obtained for spheres with Robin boundary conditions and for perfectly conducting spheres.
Subfields: Applied Mathematics, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/699f6035e0cab8209380e24d5a345c1325d58c22
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In Applied Mathematics
In Atomic and Molecular Physics, and Optics
- Galina L. Klimchitskaya
- Umar Mohideen
- Vladimir M. Mostepanenko
- Romesh C. Batra
- Maurizio Porfiri
- Davide Spinello
- Alejandro W. Rodriguez
- D. Dalvit
Citations in the corpus
- The Casimir force between real materials: Experiment and theory (2009, methodology): “…that recently, rigorous methods based on quantum field theory first principles have been developed which allow one to calculate the scalar and electromagnetic Casimir force between arbitrarily shaped compact objects [see, e.g., Gies, Klingmüller (2006a, 2006b, 2006c), Emig et al. (2007, 2008)].”