New sum rules for an electron in a periodic or nearly periodic potential
Abstract
I derive new sum rules for the electronic oscillator strengths in a periodic or nearly periodic potential, which apply within a single energy band and between any two bands. The physical origin of these sum rules is quite unlike that of conventional sum rules, and is shown to be associated with a solid-state counterpart to the principle of spectroscopic stability known in atomic physics.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 1996
- DOI:
- 10.48550/arXiv.cond-mat/9604092
- arXiv:
- arXiv:cond-mat/9604092
- Bibcode:
- 1996cond.mat..4092G
- Keywords:
-
- Condensed Matter
- E-Print:
- 4 pages, Revtex