Static and dynamic dipole polarizability of cylindrically confined hydrogen atom

TL;DR

This paper investigates the static and dynamic dipole polarizabilities of a hydrogen atom confined within a cylindrical potential, using B-Spline based methods to compute energies and wavefunctions, and compares these to free atom values.

Contribution

It introduces a B-Spline based variational and fit method for calculating polarizabilities of confined hydrogen atoms, demonstrating efficiency and accuracy improvements.

Findings

Computed energies agree with previous results.

Polarizabilities converge to free atom values.

The fit method reduces computational time.

Abstract

The non-relativistic static and dynamic dipole polarizabilities of hydrogen atom experiencing a cylindrical confinement are investigated. Two methods based on B-Splines are used for the computations of the energies and wavefunctions. The first method is a variational based method while the second one proceeds by a fit of the non-separable Coulomb potential in the product form. The computed energies compare very well with previous computations. They converge, as well as the dipole polarizability, to the exact unconfined free atom values. The fit approach is found to be advantageous, as it helps saving the computational time without a loss of accuracy. Dynamic polarizabilities have been reported for various dimensions of the confining cylinder.