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Effective Hamiltonian for doubly excited Helium states based on four dimensional Harmonic Oscillator

arXiv
Authors: Torsten Victor Zache, Aniruddha Chakraborty

Year

2013

Paper ID

32753

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

Abstract

Effective Hamiltonians for doubly excited Heliums states based on approximate O(4) symmetry are revised. New quantum numbers for a 4D Harmonic Oscillator are assigned to Helium states with both electrons in the n=2 shell. An effective Hamiltonian operator is constructed and optimzed by means of non-linear least-square fits to the energy levels of the Helium isoelectronic series. The results are interpreted in terms of electron correlation and a possible unified description of two-electron atom intrashell states.

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  • Effective Hamiltonians for doubly excited Heliums states based on approximate O(4) symmetry are revised.

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