---
_id: '1601918'
abstract:
- lang: eng
text: The static dipole polarizability alpha(d, i) for an arbitrary bound state
i of the non- relativistic hydrogen- like atom has been known for a long time
from, e. g., the second- order perturbation theory treatment of the Stark effect.
A reliable result for the ground state requires both summation over the discrete
spectrum and inclusion of the continuum contribution. This continuum contribution
is known to decrease for excited states, but a systematic study of this decrease
has not been available so far. We present here representative results from a systematic
study of alpha(d, i), whichwas performed as a first test of a new algorithm for
the radial integrals involved. Partial sum approximations of the discrete contribution
yield the total ad, i with a relative error of less than 1% for all states i with
principal quantum number n >= 5. Corresponding results for the relativistic case,
for which the radial integral algorithm was developed, will be presented elsewhere.
accept: '1'
article_type: original
author:
- autoren_ansetzung:
- Koch, V
- Koch
- V Koch
- Koch, V
- Koch, V.
- V Koch
- V. Koch
first_name: V
full_name: Koch, V
last_name: Koch
- autoren_ansetzung:
- Andrae, Dirk
- Andrae
- Dirk Andrae
- Andrae, D
- Andrae, D.
- D Andrae
- D. Andrae
first_name: Dirk
full_name: Andrae, Dirk
id: '20327'
last_name: Andrae
citation:
ama: Koch V, Andrae D. Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms. *THEORETICAL
CHEMISTRY ACCOUNTS*. 2005;114(4-5):380-386.
angewandte-chemie: V. Koch, and D. Andrae, “Discrete contributions to static dipole
polarizabilities of excited bound states of non-relativistic hydrogen-like atoms”,
*THEORETICAL CHEMISTRY ACCOUNTS*, **2005**, *114*,
380-386.
apa: Koch, V., & Andrae, D. (2005). Discrete contributions to static dipole
polarizabilities of excited bound states of non-relativistic hydrogen-like atoms.
*THEORETICAL CHEMISTRY ACCOUNTS*, *114*(4-5), 380-386. doi:10.1007/s00214-005-0691-7
apa_indent: Koch,
V., & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms. *THEORETICAL
CHEMISTRY ACCOUNTS*, *114*(4-5), 380-386. doi:10.1007/s00214-005-0691-7

aps: ' V. Koch and D. Andrae, Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms, THEORETICAL CHEMISTRY
ACCOUNTS **114**, 380 (2005).'
bio1: 'Koch V, Andrae D (2005)

Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms.

THEORETICAL
CHEMISTRY ACCOUNTS 114(4-5): 380-386.'
chicago: 'Koch,
V, and Andrae, Dirk. 2005. “Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms”. *THEORETICAL
CHEMISTRY ACCOUNTS* 114 (4-5): 380-386.

'
default: 'Koch V, Andrae D (2005)

*THEORETICAL CHEMISTRY ACCOUNTS*
114(4-5): 380-386.'
dgps: Koch,
V. & Andrae, D. (2005). Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms. *THEORETICAL
CHEMISTRY ACCOUNTS*, *114*(4-5), 380-386. SPRINGER. doi:10.1007/s00214-005-0691-7.

frontiers: Koch, V., and Andrae, D. (2005). Discrete contributions to static dipole
polarizabilities of excited bound states of non-relativistic hydrogen-like atoms.
*THEORETICAL CHEMISTRY ACCOUNTS* 114, 380-386.
harvard1: Koch, V., & Andrae, D., 2005. Discrete contributions to static dipole
polarizabilities of excited bound states of non-relativistic hydrogen-like atoms.
*THEORETICAL CHEMISTRY ACCOUNTS*, 114(4-5), p 380-386.
ieee: ' V. Koch and D. Andrae, “Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms”, *THEORETICAL
CHEMISTRY ACCOUNTS*, vol. 114, 2005, pp. 380-386.'
lncs: ' Koch, V., Andrae, D.: Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms. THEORETICAL CHEMISTRY
ACCOUNTS. 114, 380-386 (2005).'
mla: 'Koch, V, and Andrae, Dirk. “Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms”. *THEORETICAL
CHEMISTRY ACCOUNTS* 114.4-5 (2005): 380-386.'
wels: 'Koch, V.; Andrae, D. (2005): Discrete contributions to static dipole polarizabilities
of excited bound states of non-relativistic hydrogen-like atoms *THEORETICAL
CHEMISTRY ACCOUNTS*,114:(4-5): 380-386.'
date_created: 2010-04-28T12:32:02Z
date_submitted: 2010-12-07T16:48:27Z
date_updated: 2018-07-24T12:58:48Z
department:
- _id: '17982'
doi: 10.1007/s00214-005-0691-7
external_id:
isi:
- '000232500500016'
first_author: Koch, V
id: '1601918'
intvolume: ' 114'
isi: '1'
issue: 4-5
keyword:
- static dipole polarizability for
- non-relativistic hydrogen-like atom
- excited bound states
- generalized Laguerre polynomials
- confluent
- hypergeometric functions
- Appell function F2
language:
- iso: eng
page: 380-386
publication: THEORETICAL CHEMISTRY ACCOUNTS
publication_identifier:
eissn:
- 1432-2234
issn:
- 1432-881X
publication_status: published
publisher: SPRINGER
quality_controlled: '1'
status: public
title: Discrete contributions to static dipole polarizabilities of excited bound states
of non-relativistic hydrogen-like atoms
type: journal_article
volume: '114'
year: '2005'
...