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Semiclassical initial value calculations of collinear helium atom

arXiv

Authors: Celal Harabati, Kenneth G. Kay

Year

2007

Paper ID

50473

Status

Preprint

Abstract Read

~2 min

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Abstract

Semiclassical calculations using the Herman-Kluk initial value treatment are performed to determine energy eigenvalues of bound and resonance states of the collinear helium atom. Both the eZe configuration (where the classical motion is fully chaotic) and the Zee configuration (where the classical dynamics is nearly integrable) are treated. The classical motion is regularized to remove singularities that occur when the electrons collide with the nucleus. Very good agreement is obtained with quantum energies for bound and resonance states calculated by the complex rotation method.

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Semiclassical calculations using the Herman-Kluk initial value treatment are performed to determine energy eigenvalues of bound and resonance states of the collinear helium atom.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.3549 [2] arXiv https://arxiv.org/abs/0704.3549 [3] Publisher https://arxiv.org/abs/0704.3549

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