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SAMOP 2023 – scientific programme

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A: Fachverband Atomphysik

A 4: Quantum Effects (QED) (joint session Q/A)

A 4.3: Talk

Monday, March 6, 2023, 11:30–11:45, F442

Casimir free energy of two bi-isotropic spheres in the plane-wave approach — •Tanja Schoger1, Benjamin Spreng2, Gert-Ludwig Ingold1, and Paulo A. Maia Neto31Universität Augsburg, Augsburg, Germany — 2University of California, Davis, USA — 3Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil

The Casimir interaction between two bi-isotropic spheres, where polarization mixing upon reflection at each sphere occurs, is studied in the plane-wave approach. We demonstrate that an asymptotic expansion of the Casimir force for large spheres, compared to the surface-to-surface distance, leads to the proximity force approximation (PFA) of the Casimir interaction [1].

A special case of bi-isotropic spheres are perfect electromagnetic conductors (PEMC) interpolating between the spheres with infinite permittivity and infinite permeability for which we present results for vanishing as well as non-zero temperatures [1, 2]. Apart from the PFA results, we also determine the leading PFA corrections and the results for large distances which reveal that the transition from an attractive force to a repulsive force depends on the temperature and the distance between the spheres.

[1] T. Schoger, B. Spreng, G.-L. Ingold, P. A. Maia Neto, Int. J. of

Mod. Phys. A 37, 2241009 (2022)

[2] S. Rode, R. Bennett, S. Y. Buhmann, New J. Phys. 20, 043024

(2018)

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