Static multipole polarizabilites of H-atom in modified ring-shaped potentials

Multipole polarizabilities of spherically confined hydrogen atom and positronium in screened Coulomb potential

“…In both methods, the radial variable can be restricted into a finite interval when solving the differential Schrödinger equation and, therefore, the Dirichlet condition at boundary points can be introduced naturally. In Tables 4 and 5 and Figure 2A, we compare our results with those reported by Yadav et al [29] at r max = 50 and by Mukherjee et al [31] at r max = 0.2,1,2,10. The present calculations show very good agreement with their predictions in the entire range of parameters tabulated.…”

“…The recent numerical calculations of the dipole polarizability of the spherically confined H in various screened‐type Coulomb potentials are performed by Yadav et al [29] utilizing the finite difference method and Mukherjee et al [31] employing the GPS method. In both methods, the radial variable can be restricted into a finite interval when solving the differential Schrödinger equation and, therefore, the Dirichlet condition at boundary points can be introduced naturally.…”

“…Montgomery and Pupyshev [28] focused their interests on the effect of spherical confinement on the frequency‐dependent dipole polarizabilities and shielding factors of the confined H atom in SCP and ECSCP. More recently, Yadav et al [29, 30] have investigated the static and dynamic multipole polarizabilities of the H atom in modified ring‐shaped screened Coulomb potentials which include SCP, ECSCP, and Hulthén potentials. In their work, the system energies and wave functions were obtained by employing the finite difference method and the multipole polarizabilites were calculated through the sum‐over‐states formalism.…”

“…Table3but for the comparison with Yadav et al[29] at r max = 50 Same as Table3but for the comparison with Mukherjee et al[31] at some selected values of confinement radius and screening parameter…”

Shell-confined atom and plasma: incidental degeneracy, metallic character and information entropy

“…Benchmark results for Rényi, Tsallis entropies and Onicescu information energy (E O ) for ground state of Helium atom was studied using Hylleraas method [34]. The static multipole polarizabilities are estimated for H-like atoms in Hulthén potential under both confined and free conditions [35] and H-atom in ring-shaped potentials [36]. Moreover, generalized pseudospectral (GPS) method was qeen used to explore several spectroscopic properties like fine structure, hyperfine splitting in confined environment [37].…”