On the Spectrum of a Limit-periodic Schrödinger Operator
نویسنده
چکیده
The spectrum of the perturbed polyharmonic operator H = (−∆)l + V in L(Rd) with a limit-periodic potential V is studied. It is shown that if V is periodic in one direction in Rd and 8l > d+3, d = 1(mod4), then the spectrum of H contains a semiaxis. The proof is based on the properties of periodic operators. §
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تاریخ انتشار 2006