On finiteness of the sum of negative eigenvalues of Schroedinger operators
classification
🧮 math.SP
math-phmath.MP
keywords
eigenvaluesnegativeanalysisboundingcomplexconditionsdifferencesestimates
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We prove conditions on potentials which imply that the sum of the negative eigenvalues of the Schroeodinger operator is finite. We use a method for bounding eigenvalues based on estimates of the Hilbert-Schmidt norm of semigroup differences and on complex analysis
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