ON THE THEORY OF LOCALIZED ONE-ELECTRON STATES IN PERFECT CRYSTALS
MASSACHUSETTS INST OF TECH LEXINGTON LINCOLN LAB
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In a recent paper a proof was given that for a perfect crystal of hydrogen atoms, described within a certain model, the free energy corresponding to localized one-electron wave-functions was less than that corresponding to spatially extended one-electron functions. That proof, however, depended on the assumption that the summand a sub l appearing in the partition function for the extended solutions monotonically increases with l for l or 0. The proof of this monotonicity is given here.
- Solid State Physics