Self-adjointness and the Casimir effect with confined quantized spinor matter

23rd International Conference on Integrable Systems and Quantum Symmetries

Sitenko, Yurii A.^1,2

Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, 14-b Metrologichna Str., Kyiv

03680, Ukraine^1

Institute for Theoretical Physics, University of Bern, Sidlerstrasse 5, Bern

CH-3012, Switzerland^2

关键词: Adjoints;    Casimir effects;    Dirac Hamiltonian;    General sets;    Self-adjointness;    Uniform magnetic fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012048/pdf
DOI  :  10.1088/1742-6596/670/1/012048

来源: IOP

【 摘 要 】

A generalization of the MIT bag boundary condition for spinor matter is proposed basing on the requirement that the Dirac hamiltonian operator be self-adjoint. An influence of a background magnetic field on the vacuum of charged spinor matter confined between two parallel material plates is studied. Employing the most general set of boundary conditions at the plates in the case of the uniform magnetic field directed orthogonally to the plates, we find the pressure from the vacuum onto the plates. In physically plausible situations, the Casimir effect is shown to be repulsive, independently of a choice of boundary conditions and of a distance between the plates.