99-49 Karpeshina, Yulia
On the Density of States for the Periodic Schr\"{o}dinger Operator (58K, LATEX) Feb 12, 99
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Abstract. Asymptotic formula for the density of states of the polyharmonic periodic operator \$(-\Delta )^l+V \$ in \$R^n\$, \$n\geq 2\$, \$l\geq 1\$ is obtained. Special consideration is given to the case of the Schr\"{o}dinger equation \$n=3\$, \$l=1\$, where the second term of the asymptotic is found.

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