Preface

Entanglement in helium atom confined in an impenetrable cavity

“…Moreover sophisticated laboratory experiments on such systems in the last decade accelerated theoretical interest in recent times. A bulk of these studies, both theoretical and experimental, are well reviewed in some of the recent articles [27,28].…”

A Look at the Spatial Confining Effect on the Molecular Electrostatic Potential (MEP)—A Case Study of the HF and BrCN Molecules

“…It has been shown that this effect strongly influences the electrical properties of molecular systems (distribution of charges, dipole moment, polarizability, etc.) [ 20 , 21 , 22 , 23 , 27 , 28 , 29 ]. MEPs have been calculated using Equation (1).…”

“…In order to render the impact of the spatial restriction (orbital compression) on MEP of investigated molecules, a two-dimensional harmonic oscillator potential mimicking a cylindrical confinement was applied. Hence, the effect of orbital compression was modeled by the one-electron operator in the form [ 17 , 18 , 20 , 22 , 23 , 27 , 29 ]: added to the Hamiltonian of a free molecule. This type of model confining potential allows us to mimic a smoothly varying potential.…”

Electronic Structure of Helium Atom in a Quantum Dot

“…The subject of atomic systems under spatial confinement is of immense interest among the researchers since the advent of quantum mechanics as the spectral characteristics of atomic systems placed under different confinements change appreciably compared with those of free atoms [1,2]. A number of phenomenological potentials have been used to model atoms within cavities [3], atoms under pressure [4], impurities in quantum dots or nano crystals [5], nanopores [6,7], fullerenes [8] and foreign atoms in liquid helium environment [9] etc.…”

“…Although the bound states of confined hydrogen and helium atoms have been studied extensively by several researchers [1,2,4], very few attempts have so far been made towards the quasi bound or resonance states of one electron impurity atom in an isolated QD [10,11] and also in case of confined two electron systems [12][13][14]. Transformations of two-electron bound states to Feshbach and then to shape resonances depending upon a parameter of model rectangular well-type potential representing the QD have been studied by Bylicki et.…”