Frequency-dependent polarizabilities and shielding factors for confined one-electron systems. (8th December 2016)

• Record Type: Journal Article
• Authors: Montgomery, H E; Pupyshev, Vladimir I
• Is Part Of: Physica scripta. Volume 92:Number 1(2017:Jan.)
• Publication Date: 2016-12-08
• Subjects: confined systems -- screened potentials -- shielding factor -- polarizability -- variational perturbation theory; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/92/1/015401
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: Frequency-dependent dipole polarizabilities and shielding factors are calculated for the ground state of spherically symmetric screened one-electron systems embedded in an impenetrable spherical cavity. Coulomb, Yukawa, Hulthén and exponential cosine-screened Coulomb potentials are considered. In contrast to free systems, Dirichlet boundary conditions introduce a contribution to the shielding factor that results from an integral over the surface of the confining boundary. This is a fundamental difference between free and confined systems and results in unexpected modifications to some of the classic relations for free systems. The methods derived also give a simple expression for the polarizability of the confined harmonic oscillator as an example of extending the methods of this work to potentials beyond the four studied.