Xue Ping Wang

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In this article, we prove the finiteness of the number of eigenvalues for a class of Schrödinger operators H = −∆ + V (x) with a complex-valued potential V (x) on R n , n ≥ 2. If ℑV is sufficiently small, ℑV ≤ 0 and ℑV = 0, we show that N (V) = N (ℜV) + k, where k is the multiplicity of the zero resonance of the selfadjoint operator −∆+ℜV and N (W) the(More)
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