Электронный каталог

Статья

Bordag, M.
Casimir Effect with an Unstable Mode / M.Bordag, I.G.Pirozhenko. – Text : electronic // International Journal of Modern Physics A. – 2025. – Vol. 40, No. 10/11 : Selected Papers from the 5th International Symposium on the Casimir Effect Piran, Slovenia, 15–21 September 2024. – P. 2543018. – URL: https://doi.org/10.1142/S0217751X25430183. – Bibliogr.: 19.

In this paper, we consider the Casfimir effect in a (1+1)-dimensional model with a critical mode. Such a mode gives rise to a condensate described by the nonlinear Gross–Pitaevskii equation. In the condensate, there are two sources of the Casimir force; one is the conventional one resulting from the fluctuations, the other follows from the condensate. We consider three simple models that allow for condensate solutions in terms of elliptic Jacobi functions. We also investigate a method for obtaining approximate solutions and show its range of applicability. In all three examples, we compute the condensate energy. In one example with a finite interval with Robin boundary conditions on one side and Dirichlet conditions on the other side, we calculate the vacuum energy and the Casimir force. There is a competition between the forces from the condensate and the fluctuations. We mention that the force from the condensate is always repulsive.



ОИЯИ = ОИЯИ (JINR)2025
Спец.(статьи,препринты) = С 324.1а - Квантовая электродинамика. Эксперименты по проверке КЭД при высоких и низких энергиях$