Confinement of bosons in symmetrically spherical regions with double topological defect

Abstract

Abstract In this work, we analyze the behavior of a spin-0 particle confined inside a sphere in space-time with a double topological deficit, whose line element is given by ds 2 = dt 2 − b − 2 dr 2 − r 2 d θ 2 − γ 2 r 2 sin 2 θ d ϕ 2 , where (b, γ) are real constants. We show that it is possible to confine the particle inside a spherical cone-shaped section with θ < θ 0, where θ 0 is the confinement angle and r < a with a being the radius of the section spherical, and we obtain the angles θ 0 that confine the particle as a function of the angular moments l and m and the parameter of the cosmic string γ. As an application, we analyze the particle confined inside a regular sphere, that is θ 0 = π and r < a,and we investigate how topological defects in space influence the eigenenergies and probability densities of the particle inside the sphere. As a result, we verified that the more intense the topological defect, the greater the energy of the particle, and it will be confined in regions where r → a.