Redetermination of the Hyperfine Splitting in the Ground State of Atomic Hydrogen

Redetermination of the Hyperfine Splitting in the Ground State of Atomic Hydrogen L ETTE RS TO THE EDITOR Ck k, Ckyk, 2 k.'+13 (k. al equation: A k, '+8 (k„'+ k,') Ck k„ Ck k, 2 k„'+8 (k,'+ k, ') Ck„k, Ck ky ui' '+ k„') . .as a2 =E a2, .as. and the wave function is given by (2) ps, qt, los, qs being the p-like degenerate functions at the top of the valence band. The essential result of our investigation is that to obtain the level scheme with an external held one need only replace k, by (1/i) (8/c)x) — (e/hc)A, etc. , where A is the vector potential of the field, and regard the a; as functions of the coordinates. If there is any ambiguity in the order of two noncommuting factors, the symmetrized product is meant. If spin-orbit coupling is taken into account then, mltatis nsltaedhs, the identical prescription still applies. Just what matrix replaces that of Eq. (1) depends on which model of the band one chooses. Kittel's model, 4 which seems most reasonable at the present time, would lead to a four-by-four matrix, the elements of which are linear combinations of those of Eq. (1). The resulting system of coupled diQerential equations is at http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review American Physical Society (APS)

Redetermination of the Hyperfine Splitting in the Ground State of Atomic Hydrogen

Physical Review , Volume 96 (2) – Oct 15, 1954
Preview Only
2 pages

Loading next page...
 
/lp/american-physical-society-aps/redetermination-of-the-hyperfine-splitting-in-the-ground-state-of-2vP2x3lSG2
Publisher
American Physical Society
Copyright
© American Physical Society
D.O.I.
10.1103/PhysRev.96.530
Publisher site
See Article on Publisher Site

Abstract

L ETTE RS TO THE EDITOR Ck k, Ckyk, 2 k.'+13 (k. al equation: A k, '+8 (k„'+ k,') Ck k„ Ck k, 2 k„'+8 (k,'+ k, ') Ck„k, Ck ky ui' '+ k„') . .as a2 =E a2, .as. and the wave function is given by (2) ps, qt, los, qs being the p-like degenerate functions at the top of the valence band. The essential result of our investigation is that to obtain the level scheme with an external held one need only replace k, by (1/i) (8/c)x) — (e/hc)A, etc. , where A is the vector potential of the field, and regard the a; as functions of the coordinates. If there is any ambiguity in the order of two noncommuting factors, the symmetrized product is meant. If spin-orbit coupling is taken into account then, mltatis nsltaedhs, the identical prescription still applies. Just what matrix replaces that of Eq. (1) depends on which model of the band one chooses. Kittel's model, 4 which seems most reasonable at the present time, would lead to a four-by-four matrix, the elements of which are linear combinations of those of Eq. (1). The resulting system of coupled diQerential equations is at

Journal

Physical ReviewAmerican Physical Society (APS)

Published: Oct 15, 1954

There are no references for this article.

Sorry, we don’t have permission to share this article on DeepDyve,
but here are related articles that you can start reading right now:

Explore the DeepDyve Library

Unlimited reading

Read as many articles as you need. Full articles with original layout, charts and figures. Read online, from anywhere.

Stay up to date

Keep up with your field with Personalized Recommendations and Follow Journals to get automatic updates.

Organize your research

It’s easy to organize your research with our built-in tools.

Your journals are on DeepDyve

Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.

All the latest content is available, no embargo periods.

See the journals in your area

DeepDyve Freelancer

DeepDyve Pro

Price
FREE
$49/month

$360/year
Save searches from
Google Scholar,
PubMed
Create lists to
organize your research
Export lists, citations
Read DeepDyve articles
Abstract access only
Unlimited access to over
18 million full-text articles
Print
20 pages/month
PDF Discount
20% off