Abstract
The effects of the spatial confinement on the ground-state entanglement properties of the helium atom have been studied. The finite oscillator potential is used to represent the confining potential. The transition to the free atom regime and the harmonic confinement regime are discussed in detail in dependence of the control parameters of the system.
Highlights
Confined systems of atoms have been a subject of intense interest since the birth of quantum mechanics
It is worth mentioning here that the convergence is comparable to that in the case of the free helium atom, where its ground state energy value is recovered with six digits accuracy already at N = 6 (84-terms), −2.9037233
We have investigated the impact of spatial confinement in the form of a two parameter finite spherical cavity on the ground state entanglement properties of Helium atom using trial variational wave function expanded in explicitly correlated Hylleraas basis
Summary
Confined systems of atoms have been a subject of intense interest since the birth of quantum mechanics. The research activity has expanded towards investigating properties of confined real two electron systems. The impact of confinement on the properties of helium atom and its iso-electronic ions was mainly addressed in literature in connection with impenetrable spherical walls [3,4,5,6,7,8,9,10]. Physical properties of such systems e.g. energy levels, ionization radius or correlation energy appear to be well understood. Some results for confinement models such as a harmonic potential or a Gaussian potential are available in Refs. [10,11,12] and [10,13], respectively
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