Lower bound energy calculations for

Author:

Walmsley Mary,Coulson C. A.

Abstract

AbstractTwo different calculations are made of lower bounds for the electronic energy of . In the first the method of truncated Hamiltonians due to Bazley and Fox is adapted in such a way that the nuclear charge rather than the energy becomes the eigenvalue. Lower bounds are calculated for the energies of the six lowest σg and six lowest σu states, as well as of the three lowest of both πg and πu symmetries. This approach gives better convergence than when the energy is used as eigenvalue. In the second calculation the method of Temple and Kato is shown to give a satisfactory value for the energy of the ground state, provided that some necessary knowledge of the energy of the first-excited state is available.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Lower bound for the nonrelativistic ground state energy of the lithium atom;The Journal of Chemical Physics;1995-05-22

2. Lower bound molecular orbitals for H2+, HeH++, and H3++;International Journal of Quantum Chemistry;1977-05

3. Error analysis of variationally optimized upper- and lower-bound wave functions for H2+;International Journal of Quantum Chemistry;1974-11

4. Studies in the accuracy of some lower-bound formulae-a simple one-dimensional problem;Journal of Physics B: Atomic and Molecular Physics;1974-08-01

5. Studies of the quadratic Zeeman effect. I. Application of the sturmian functions;Journal of Physics B: Atomic and Molecular Physics;1973-08

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