Abstract

Closed-form solutions for the frequency-dependent polarizability of an electron bound by a zero-range potential in N dimensions are obtained for N < 4. Some effects of dimensionality can be separated from those of dynamics, and implications for the validity of one-dimensional atomic models are drawn. Expansion of the polarizability in powers of ω−1/2 as ω → ∞ gives a binding correction to the free-electron value, which is similar in some cases to that encountered in Rydberg series.

© 1990 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Many-electron, many-photon theory of nonlinear polarizabilities

C. A. Nicolaides, Th. Mercouris, and G. Aspromallis
J. Opt. Soc. Am. B 7(4) 494-501 (1990)

Photodetachment-threshold shifts in two-frequency radiation fields

L. A. Bloomfield
J. Opt. Soc. Am. B 7(4) 472-480 (1990)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (28)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription