Citation
J. H. VAN VLECK, "A CORRESPONDENCE PRINCIPLE FOR ABSORPTION," J. Opt. Soc. Am. 9, 2730 (1924)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa9127
Sort:
Author 
Year 
Journal  Reset
References

We shall f or simplicity assume in the present discussion that the system is nondegenerate.

Since the writing of the present article, Dr. H. A. Kramers has published in Nature (May 10, 1924) a very interesting formula for dispersion, in which the polarization is imagined as coming not from actual orbits, but from "virtual oscillators" such as have been suggested by Slater and advocated by Bohr. Kramers states that his formula merges asymptotically into the classical dispersion. To verify this in the general case, the writer has computed the classical polarization formula for an arbitrary nondegenerate multiply periodic orbit. This formula is the analogue of Eq. (3) of the present paper, and is more complicated than the ordinary Eq. for dispersion by linear oscillators. By pairing together positive and negative terms in the Kramers formula, a differential dispersion may be defined resembling the differential absorption of the present article. It is found that this differential quantum theory dispersion approaches asymptotically the classical dispersion by the general multiply periodic orbit, the behavior being very similar to that in the correspondence principle for absorption. This must be regarded as an important argument for the Kramers formula.
Kramers, H. A.

Since the writing of the present article, Dr. H. A. Kramers has published in Nature (May 10, 1924) a very interesting formula for dispersion, in which the polarization is imagined as coming not from actual orbits, but from "virtual oscillators" such as have been suggested by Slater and advocated by Bohr. Kramers states that his formula merges asymptotically into the classical dispersion. To verify this in the general case, the writer has computed the classical polarization formula for an arbitrary nondegenerate multiply periodic orbit. This formula is the analogue of Eq. (3) of the present paper, and is more complicated than the ordinary Eq. for dispersion by linear oscillators. By pairing together positive and negative terms in the Kramers formula, a differential dispersion may be defined resembling the differential absorption of the present article. It is found that this differential quantum theory dispersion approaches asymptotically the classical dispersion by the general multiply periodic orbit, the behavior being very similar to that in the correspondence principle for absorption. This must be regarded as an important argument for the Kramers formula.
Other

We shall f or simplicity assume in the present discussion that the system is nondegenerate.

Since the writing of the present article, Dr. H. A. Kramers has published in Nature (May 10, 1924) a very interesting formula for dispersion, in which the polarization is imagined as coming not from actual orbits, but from "virtual oscillators" such as have been suggested by Slater and advocated by Bohr. Kramers states that his formula merges asymptotically into the classical dispersion. To verify this in the general case, the writer has computed the classical polarization formula for an arbitrary nondegenerate multiply periodic orbit. This formula is the analogue of Eq. (3) of the present paper, and is more complicated than the ordinary Eq. for dispersion by linear oscillators. By pairing together positive and negative terms in the Kramers formula, a differential dispersion may be defined resembling the differential absorption of the present article. It is found that this differential quantum theory dispersion approaches asymptotically the classical dispersion by the general multiply periodic orbit, the behavior being very similar to that in the correspondence principle for absorption. This must be regarded as an important argument for the Kramers formula.
OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's CitedBy Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.