Approximate separability of high-lying doubly excited {sup 1}S states of helium-like systems
- Univ. of Tennessee, Knoxville, TN (United States)
We study high-lying {sup 1}S doubly excited states (DES) of helium-like systems with principal quantum numbers N,n>>1. We calculate accurate eigenfunctions and eigenenergies using a large scale basis expansion and employing stabilization and complex rotation techniques. The wavefunctions are analyzed by projection onto three perpendicular planes of hyperspherical coordinates. We find the wavefunctions to display a regular pattern of nodal lines in a new coordinate system which differs from both the hyperspherical and molecular coordinates. Using this approximate separability, we derive a simple WKB formula for the position of all symmetrically excited {sup 1}S resonances which is in excellent agreement with the quantal calculation.
- DOE Contract Number:
- AC05-84OR21400
- OSTI ID:
- 281618
- Report Number(s):
- CONF-9305421--
- Journal Information:
- Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 3 Vol. 38; ISSN BAPSA6; ISSN 0003-0503
- Country of Publication:
- United States
- Language:
- English
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