Effective Hamiltonian for doubly excited Helium states based on four dimensional Harmonic Oscillator
Atomic Physics
2013-09-16 v1 Quantum Physics
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.
Keywords
Cite
@article{arxiv.1309.3438,
title = {Effective Hamiltonian for doubly excited Helium states based on four dimensional Harmonic Oscillator},
author = {Torsten Victor Zache and Aniruddha Chakraborty},
journal= {arXiv preprint arXiv:1309.3438},
year = {2013}
}