Singly and doubly excited states of the D-dimensional helium atom

Journal Article · Wed May 01 00:00:00 EDT 1996 · Bulletin of the American Physical Society

OSTI ID:394149

Dunn, M; Watson, D K; Germann, T C ^[1]; Herschbach, D R

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1. Univ. of California, Berkeley, CA (United States)

Large-order dimensional perturbation theory has proven to be a useful technique for the study of ground and excited states of two-electron atoms. The authors use the 1/D expansion for L = O wave functions to elucidate the evolution between the harmonic (large-D) and physical wave functions, including the transition of the large dimension molecular structure to that of a singly excited state at D = 3. This study is extended to higher angular momentum states by exploiting both approximate and exact interdimensional degeneracies with the S-wave states. They also discuss the relationship between the approximate large dimension quantum numbers introduced by dimensional perturbation theory and the approximate quantum numbers for doubly excited states in three dimensions introduced by Herrick, Lin, Briggs and others.

• OSTI ID: 394149
• Report Number(s): CONF-9605105--
• Journal Information: Bulletin of the American Physical Society, Journal Name: Bulletin of the American Physical Society Journal Issue: 3 Vol. 41; ISSN BAPSA6; ISSN 0003-0503
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ENERGY LEVELS
EXCITED STATES
HELIUM
PERTURBATION THEORY