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On the shell‐confined atom problem
Author(s) -
Pupyshev Vladimir I.,
Montgomery Henry E.
Publication year - 2019
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.25887
Subject(s) - polarizability , atom (system on chip) , dipole , electron , spheres , shell (structure) , atomic physics , space (punctuation) , wave function , physics , chemistry , molecular physics , dimension (graph theory) , concentric , quantum mechanics , geometry , materials science , mathematics , molecule , linguistics , philosophy , astronomy , computer science , composite material , embedded system , pure mathematics
The properties of spherically symmetric, one‐electron atomic systems are analyzed for the systems where the electron is placed in the region between two impenetrable concentric spheres of radii R int and R ext . The changes in the structure of the energy levels of low‐lying electron states and the corresponding variations in radial wave functions are analyzed for different types of changes in R int and R ext . Special attention is paid to the changes in electric dipole polarizability for problems with varied dimension, D , of the space. The form and the quality of some simple classical estimates for polarizability are also studied for various space dimensions.