miun.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Dimensional scaling and spectral properties
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
1993 (English)In: Dimensional scaling in chemical physics, Dordrecht: Klüwer , 1993, 510- p.Chapter in book (Other scientific)
Abstract [en]

A review is made of the calculation of multipole polarizabilities in three dimensions, for hydrogen-like ions with nuclear charge Z, in which the solutions of the inhomogeneous equations in perturbation theory are used. The procedure is extended to arbitrary dimension D, and an explicit expression for exact multipole polarizabilities is obtained. A calculation of an approximate ground state energy using 1/D expansions is made, leading to a classic harmonic oscillator problem. The possibility to estimate the dipole polarizability in the large D limit from the obtained expressions is used. A comparison with the exact result yields quantitative agreement in the coefficient as well as in the D dependence, when using a physically motivated form of the perturbation. Inequalities for oscillator strengths, previously used for estimating dipole polarizabilities in three dimensions, are generalized to D dimensions, and expressions for the dipole polarizability in the large D limit are obtained. The exact results, the dimensional scaling calculations, and the expressions obtained from inequalities are compared and evaluated. It is shown that the exact first order correction to the unperturbed wave function reduces to one term in the sum over states expression. The asymptotic result for the dipole polarizabilities is, in atomic units, alpha2 = (64Z4)-1 D6. in Dimensional

Place, publisher, year, edition, pages
Dordrecht: Klüwer , 1993. 510- p.
Keyword [en]
Dimensional Scaling
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:miun:diva-1479Local ID: 158ISBN: 0792320360 (print)OAI: oai:DiVA.org:miun-1479DiVA: diva2:26511
Available from: 2008-09-30 Created: 2008-09-30Bibliographically approved

Open Access in DiVA

No full text

Search in DiVA

By author/editor
Hägg, Lotten
By organisation
Department of Engineering, Physics and Mathematics
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar

Total: 67 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf