A short review of the Casimir effect with emphasis on dynamical boundary conditions


  • Benito Alberto Juárez Aubry Instituto de Investigaciones en Matemáticas Aplicadas y en Sistemas, UNAM
  • Ricardo Weder Universidad Nacional Autónoma de México https://orcid.org/0000-0003-3993-4698




Casimir effect, Dynamical boundary conditions, Boundary eigenvalue problems


We give a short review on the static and dynamical Casimir effects, recalling their historical prediction, as well as their more recent experimental verifications. We emphasise on the central role played by so-called dynamical boundary conditions (for which the boundary condition depends on a second time derivative of the field) in the experimental verification of the dynamical Casimir effect by Wilson et al. We then go on to review our previous work on the static Casimir effect with dynamical boundary conditions, providing an overview on how to compute the so-called local Casimir energy, the total Casimir energy and the Casimir force. We give as a future perspective the direction in which this work should be generalised to put the theoretical predictions of the dynamical Casimir effect experiments on a rigorous footing.


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How to Cite

Juárez Aubry BA, Weder R. A short review of the Casimir effect with emphasis on dynamical boundary conditions. Supl. Rev. Mex. Fis. [Internet]. 2022 Apr. 5 [cited 2022 Jul. 2];3(2):020714 1-7. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6100