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dc.contributor.authorJobunga, E. O
dc.date.accessioned2024-02-27T08:59:01Z
dc.date.available2024-02-27T08:59:01Z
dc.date.issued2018-04-25
dc.identifier.citationJobunga, E. (2018). Parameter-free separable lowest-order non-relativistic Hamiltonian for helium atom. arXiv preprint arXiv:1804.10058.en_US
dc.identifier.otherhttps://doi.org/10.48550/arXiv.1804.10058
dc.identifier.urihttp://ir.tum.ac.ke/handle/123456789/17480
dc.descriptionhttps://doi.org/10.48550/arXiv.1804.10058en_US
dc.description.abstractElectron-electron correlation forms the basis of difficulties encountered in many-body physics. Accurate treatment of the correlation problem is likely to unravel some nice physical properties of matter embedded in the correlation. In an effort to tackle the many-body problem, an empirically determined symmetry-dependent partition fraction for the electron-electron interaction energy between two interacting states of helium atom is suggested in this study. Using the partition fraction and the lowest-order approximation of the multipole series expansion of the electron-electron interaction, a simple parameter-free pseudopotential for a two-electron system is derived. The groundstate, singly and doubly excited state non-relativistic energies generated by the pseudopotential are in reasonable agreement with literature values.en_US
dc.description.sponsorshipTECHNICAL UNIVERSITY OF MOMBASAen_US
dc.language.isoenen_US
dc.publisherarXiv preprint arXiven_US
dc.titleParameter-free Separable Lowest-order Non-relativistic Hamiltonian for Helium Atomen_US
dc.typeBooken_US


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