Energy states, oscillator strengths and polarizabilities of many electron atoms confined by an impenetrable spherical cavity

Abstract

We have calculated the ground and excited state energies and the orbital energies of three-electron atoms inside impenetrable spherical cavity. Energy eigenvalues and wavefunctions are calculated from the variational approximation method which is a combination of quantum genetic algorithm procedure and Hartree-Fock Roothaan method. In addition, the important parameters such as static and dynamic polarizability, oscillator strength and pressure have been investigated as perturbative. The results reveal that cavity radius and impurity charge have played an important role on the polarizability, the oscillator strength and pressure of the system. In addition, it is seen that when cavity radius is extremely large, all energies and the other physical parameters approach the values of a free space atom. As the dot radius decreases, the polarizability of system decreases due to the strong spatial confinement, but the pressure exerting on the system as the cavity radius R is shrunk increases. In addition, as the impurity charge increases, the oscillator strength decreases.

Compressed lithium atom under Debye screening

“…Many investigations have been conducted to examine atoms enclosed within spherical and non-spherical cavities, starting from hydrogen [1-4], and extending to helium [5][6][7][8][9][10][11][12][13][14][15] and molecules [16][17][18][19]. However, limited research has been presented on confined many-electron atoms up to neon atom in the literature [20][21][22][23][24][25][26]. The influence of plasma on quantum objects surrounded by the plasma environment can be regarded as a particular type of spatial condiment.…”

“…When atoms and molecules are spatially confined within either permeable or impermeable cavities, their properties change significantly compared with their unconfined counterparts.Many investigations have been conducted to examine atoms enclosed within spherical and non-spherical cavities, starting from hydrogen [1-4], and extending to helium [5][6][7][8][9][10][11][12][13][14][15] and molecules [16][17][18][19]. However, limited research has been presented on confined many-electron atoms up to neon atom in the literature [20][21][22][23][24][25][26]. The influence of plasma on quantum objects surrounded by the plasma environment can be regarded as a particular type of spatial condiment.…”