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A NEW EQUATION FOR LOWER BOUNDS TO EIGENVALUES WITH APPLICATION TO THE HELIUM ATOM.
HARVARD UNIV CAMBRIDGE MA MALLINCKRODT LAB
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There is currently considerable interest in lower bound procedures based on the method of intermediate Hamiltonians. The method relies on a theorem which states that if the hermitian operators A and B satisfy the inequality AB, then their ordered eigenvalues respectively satisfy the same inequality. Thus to find lower bounds to the eigenvalues of a Hamiltonian H, we must find a comparison operator H to the l power, such that H to the l power less than or equal to H, and such that H to the l power is simple enough for its eigenvalue problem to be solved. Author
APPROVED FOR PUBLIC RELEASE