Lower bounds to eigenvalues of one-electron Hamiltonians

Published 18 Dec 2019 in math-ph and math.MP | (1912.08408v1)

Abstract: A method for computing lower bounds to eigenvalues of sums of lower semibounded self-adjoint operators is presented. We apply the method to one-electron Hamiltonians. To improve the lower bounds we consider symmetry of molecules and use Temple's inequality. These methods would be useful in estimating eigenvalues of electronic Hamiltonians needed for studies of properties of molecules.

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Sohei Ashida

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