Bulletin of the American Physical Society
APS March Meeting 2014
Volume 59, Number 1
Monday–Friday, March 3–7, 2014; Denver, Colorado
Session W26: Focus Session: Explicitly Correlated Methods and Quantum Few-Body Systems
2:30 PM–5:30 PM,
Thursday, March 6, 2014
Room: 502
Sponsoring
Unit:
DCOMP
Chair: Sergiy Bubin, University of Rochester
Abstract ID: BAPS.2014.MAR.W26.4
Abstract: W26.00004 : Asymptotic Expansions, 1/Z Expansions, and the Critical Nuclear Charge*
3:30 PM–4:06 PM
Preview Abstract
Abstract
Author:
Gordon Drake
(University of Windsor)
The quantum mechanical three-body problem defies analytic solution, and so computationally intensive approximation methods involving, for example, variational calculations with large correlated basis sets must be used. This talk will review recent work to explore the outer fringes of the quantum mechanical three-body problem for heliumlike atoms. Asymptotic expansions provide a surprisingly simple and accurate account of highly excited Rydberg states with high angular momentum. $1/Z$ expansions, where $Z$ is the nuclear charge, provide results for an entire isoelectronic sequence within a single calculation. Its radius of convergence is thought to be related to the critical nuclear charge $Z_c$ for a state to be bound. For $Z < Z_c$, there may still be quasibound states (shape resonances) imbedded in the scattering continuum. Relationships amongst all three topics will be discussed, and new results presented for both asymptotic expansions and the critical nuclear charge.
*Research suppoted by the Natural Sciences and Engineering Research Council of Canada, and by SHARCNET.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2014.MAR.W26.4
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2018 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
1 Research Road, Ridge, NY 11961-2701
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700