Casimir Effect In A One-dimensional Medium Cavity Containing Dielectric

The Casimir effect is one of the most famous macroscopic manifestations of quantum field theory and is the direct result of the quantization of electromagnetic fields.In 1948,Casimir first proposed the hypothesis that the fluctuations of electromagnetic fields in vacuum or in material media depend on the boundary conditions imposed on the fields.Since then,scientists have continuously explored the effects of geometric boundary conditions,thermal equilibrium theory,and dielectric constant of materials on the Casimir effect.In recent years,Casimir has been combined with chiral molecules and magnetic nanomaterials to promote its development in nano-electromechanical equipment,electronics manufacturing and condensed matter physics.In the earliest research,the Casimir effect refers to the attraction between two ideally uncharged metal plates in vacuum,and sometimes viewed as the macroscopic consequence of van der Waals between molecules.In view of the dominance of the Casimir forces at the nanometer scale,where the attractive force could lead to restrictive limits on nanodevices,the study of repulsive Casimir forces is of increasing interest.A great deal of effort has been put into finding ways to achieve repulsive forces,such as the use of nanodevices and colloids to create repulsive forces to separate components and overcome friction.In this paper,neutrons controlled by an external magnetic field and magnetic particles with large spins are selected and placed in a one-dimensional cavity containing a dielectric.Based on the mode theory and the perturbation theory,the correction term of the interaction force between the microcavity walls and the Casimir-Polder force between the magnetic particles and the cavity wall is calculated.The analytical expressions of the force are obtained respectively.The length of the microcavity,the position of the particles in the microcavity,the dielectric constant of the dielectric and the influence of the external magnetic field on the force are studied by numerical analysis.