 9949 Karpeshina, Yulia
 On the Density of States for the Periodic Schr\"{o}dinger Operator
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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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