Abstract
An asymptotic formula for the density of states of the polyharmonic periodic operator (−δ)l+V in Rn, n≥2, l>1/2 is obtained. Special consideration is given to the case of the Schrödinger equation n=3, l=1, V being a periodic potential, where the second term of the asymptotic is found.
Funding Statement
Research partially supported by USNSF Grant DMS-9803498.
Citation
Yulia E. Karpeshina. "On the density of states for the periodic Schrödinger operator." Ark. Mat. 38 (1) 111 - 137, March 2000. https://doi.org/10.1007/BF02384494
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