Abstract
Following the proof given by Froese and Herbst (Commun Math Phys 87:429–447, 1982) with another conjugate operator, we show for a class of real potential that possible eigenfunction of the Schrodinger operator has to decay sub-exponentially. We also show that, for a certain class of potential, this bound can not be satisfied which implies the absence of strictly positive eigenvalues for the Schrodinger operator.
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