Accession Number : AD0462321


Title :   A NEW EQUATION FOR LOWER BOUNDS TO EIGENVALUES WITH APPLICATION TO THE HELIUM ATOM.


Descriptive Note : Technical rept.,


Corporate Author : HARVARD UNIV CAMBRIDGE MA MALLINCKRODT LAB


Personal Author(s) : Miller, William H


Report Date : 08 Feb 1965


Pagination or Media Count : 4


Abstract : 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)


Descriptors :   *HELIUM , NUMERICAL METHODS AND PROCEDURES , ATOMS , THEOREMS , INEQUALITIES , EQUATIONS , FUNCTIONS(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE