Material dependence of the wire-particle Casimir interaction

Abstract

We study the Casimir interaction between a metallic cylindrical wire and a metallic spherical particle by employing the scattering formalism. At large separations, we derive the asymptotic form of the interaction. In addition, we find the interaction between a metallic wire and an isotropic atom, both in the non-retarded and retarded limits. We identify the conditions under which the asymptotic Casimir interaction does not depend on the material properties of the metallic wire and the particle. Moreover, we compute the exact Casimir interaction between the particle and the wire numerically. We show that there is a complete agreement between the numerics and the asymptotic energies at large separations. For short separations, our numerical results show good agreement with the proximity force approximation.

Effect of curvature and confinement on the Casimir-Polder interaction

“…Therefore, we have to apply a change of basis to one of the T-matrices in order to apply the above formula. Since here the cavity is a cylindrical shell and the particle S has spherical symmetry (atom or sphere), we shall use the conversion matrices D l,m,P,n,kz,Q of spherical vector waves φ l,m,P into cylindrical vector waves φ n,kz,Q defined by [20] …”

“…The elements of the conversion matrices from spherical vector multipoles to cylindrical vector multipoles are [20]…”

“…The non-additivity of fluctuation induced forces complicates the study of these effects. To overcome this problem, a multiscattering formalism for Casimir forces has been developed [11][12][13] and applied successfully [14][15][16][17][18][19], including the case of a sphere outside a cylinder [20,21].…”

Casimir interaction between spherical and planar plasma sheets

“…For the past few years, many works have been done in the analysis of the quantum effect on objects with perfect boundary conditions such as Dirichlet, Neumann, perfectly conducting, infinitely permeable, etc. There are also a number of works which consider real materials such as metals modeled by plasma or Drude models [19,20,[23][24][25]27,29,31,38,40]. In this work, we consider the Casimir interaction between a spherical plasma sheet and a planar plasma sheet.…”

“…In the case that the objects have certain symmetries that allow separable coordinate system to be employed, one can calculate these matrices explicitly. This has made possible the exact analytic and numerical analysis of the Casimir interaction between a sphere and a plate [18][19][20][21][22][23][24][25][26][27][28][29], between two spheres [30][31][32], between a cylinder and a plate [2,33,34], between two cylinders [35][36][37][38], between a sphere and a cylinder [39,40], as well as other geometries [41][42][43].…”