Alternative Multipole Expansion of the Electron Correlation Term
2017
Online
report
Zugriff:
An alternative multipole expansion of the correlation term is derived. Modified spherical Bessel type functions which simplify as a summation of multiple orders of basic trigonometric functions are generated from this new method. We use this new expansion to obtain useful insights into the electron-electron interaction. An analytic expression for the electronic correlation term is suggested. Also, a pseudopotential for helium-like system is derived from this alternative expansion, and some reasonable eigenvalues for the ground state and two autoionizing levels of helium atom, is provided as a test of efficiency of this solution approach. With some additional corrections beyond the non-relativistic limit, a helium atom groundstate energy of -2.9036 is obtained using the analytical form derived from this method and the Slater determinant expansion of the wavefunction.
Comment: 6 pages
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Alternative Multipole Expansion of the Electron Correlation Term
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Autor/in / Beteiligte Person: | Jobunga, Eric Ouma |
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Veröffentlichung: | 2017 |
Medientyp: | report |
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