On the density of states for the periodic Schrödinger operator

Yulia E. Karpeshina

doi:10.1007/BF02384494

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Home > Journals > Ark. Mat. > Volume 38 > Issue 1 > Article

March 2000 On the density of states for the periodic Schrödinger operator

Yulia E. Karpeshina

Author Affiliations +

Yulia E. Karpeshina¹
¹Department of Mathematics, University of Alabama

Ark. Mat. 38(1): 111-137 (March 2000). DOI: 10.1007/BF02384494

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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.

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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