Accession Number : AD0427893

Title :   STUDIES IN PERTURBATION THEORY VI. CONTRACTION OF SECULAR EQUATIONS VII. LOCALIZED PERTURBATION,

Corporate Author : UPPSALA UNIV (SWEDEN)

Personal Author(s) : Lowdin,Per-Olov

Report Date : 01 SEP 1961

Pagination or Media Count : 18

Abstract : The partitioning technique for solving secular equation is discussed. It is shown that the orginal secular equation may be transformed to a contracted secular equation referring to the specific subspace under consideration. The technique may be applied to heteroatoms in a molecule, to central atoms in a crystal field, to chemical bonds in a molecular environment, and to discuss the questin of dressed and undressed particles. If the system under consideration is not complete, the addition of a complementary subspace leads to a new term in the Hamiltonian corresponding to a dressing of the system involved. It is shown that eigenvalue problems associated with contracted Hamiltonians may be solved by iteration procedures. (Author)

Descriptors :   (*PARTICLES, PERTURBATION THEORY), QUANTUM THEORY, EQUATIONS, CRYSTALS, IMPURITIES, FUNCTIONS(MATHEMATICS), ATOMS, MOLECULES

Distribution Statement : APPROVED FOR PUBLIC RELEASE