Eigenvalue bounds for Stark operators with complex potentials
classification
🧮 math.SP
keywords
eigenvaluesoperatorstarkboundscomplexcomplex-valuedconsiderdimensional
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We consider the 3-dimensional Stark operator perturbed by a complex-valued potential. We obtain an estimate for the number of eigenvalues of this operator as well as for the sum of imaginary parts of eigenvalues situated in the upper half-plane.
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