New sum rules for an electron in a periodic or nearly periodic potential

Details New sum rules for an electron in a periodic or nearly periodic potential New sum rules for an electron in a periodic or nearly periodic potential

1996-04-15

arxiv.org/abs/cond-mat/9604092v1

Physics

Condensed Matter

4 pages, Revtex

Scientific paper

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.

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