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Energy spectra of three‐dimensional harmonium under Debye potential obtained using the shifted 1/N expansion approach
Author(s) -
Sandouqa A.S.
Publication year - 2019
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.201900013
Subject(s) - excited state , debye , physics , eigenvalues and eigenvectors , harmonic , limit (mathematics) , work (physics) , spectral line , atomic physics , debye length , function (biology) , electron , quantum mechanics , mathematical analysis , mathematics , evolutionary biology , biology
In this work, the problem of harmonium was investigated using the method of the shifted 1/N expansion. The energy eigenvalues and the classical equilibrium interelectron distance were calculated for ground and few first excited states under Debye potential as a function of both the Debye screening length and the harmonic confinement strength. It was found that harmonium becomes a Wigner molecule at the strong‐correlation limit in which the two electrons oscillate about the classical equilibrium interelectron distance r 0 . The results show reasonable agreement with the previous results both quantitatively and qualitatively.