Dimensional perturbation theory for Regge poles

Timothy C. Germann, Sabre Kais

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We apply dimensional perturbation theory to the calculation of Regge pole positions, providing a systematic improvement to earlier analytic first-order results. We consider the orbital angular momentum l as a function of spatial dimension D for a given energy E, and expand l in inverse powers of κ≡(D-1)/2. It is demonstrated for both bound and resonance states that the resulting perturbation series often converges quite rapidly, so that accurate quantum results can be obtained via simple analytic expressions given here through third order. For the quartic oscillator potential, the rapid convergence of the present l(D;E) series is in marked contrast with the divergence of the more traditional E(D;l) dimensional perturbation series, thus offering an attractive alternative for bound state problems.

Original languageEnglish
Pages (from-to)599-604
Number of pages6
JournalJournal of Chemical Physics
Volume106
Issue number2
Publication statusPublished - 8 Jan 1997
Externally publishedYes

Fingerprint

Regge poles
Angular momentum
Poles
perturbation theory
perturbation
divergence
angular momentum
oscillators
orbitals
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Dimensional perturbation theory for Regge poles. / Germann, Timothy C.; Kais, Sabre.

In: Journal of Chemical Physics, Vol. 106, No. 2, 08.01.1997, p. 599-604.

Research output: Contribution to journalArticle

Germann, Timothy C. ; Kais, Sabre. / Dimensional perturbation theory for Regge poles. In: Journal of Chemical Physics. 1997 ; Vol. 106, No. 2. pp. 599-604.
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