Read or Download Aspects of Many-Body Effects in Molecules and Extended Systems: Proceedings of the Workshop-Cum-Symposium Held in Calcutta, February 1–10, 1988 PDF

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Additional info for Aspects of Many-Body Effects in Molecules and Extended Systems: Proceedings of the Workshop-Cum-Symposium Held in Calcutta, February 1–10, 1988

Example text

In a way the convergence of the perturbation expansion should be the better, the more levels close to the considered level are included in the model space and the larger the energy gap between the model space and the complementary space is. In practice the problem arises that the energy levels are seldom so distributed that an ideal division into a model space and a complementary space is possible. It may even happen that there are states of the complementary space with energies below those of some model states.

Possible. size-consistency can be ~cific flavour of ~he of Hilber~ opera~ors no~e in~o space approach specific for Nv - valence IMS). 37J. This con~raction corresponds of Jeziorski and ~o Monkhors~ • and ~he ~hus disconnec~ed si~ua~ion [28J and Hose opera~ors genera~e an opera~or dummy valence lines. In an IMS however HO can lead ~o S closed diagrams will encoun~ered in and Kaldor [31J. 6. ~ype disconnec~ed will involve ~hey connec~ed. and Kaldor [31J should thus be judged wi~h the tha~ disconnec~ed ~hemselves par~s a break-down of ~he of of Heff .

Diagram notation. The connected-diagram theorem 13. The energy of a closed-shell state. Goldstone's linked diagram expansion 14. Symmetry-adapted vertices and diagrams 15. Non-perturbative approaches 16. Incomplete model spaces 1. INTRODUCTION The many electron-problem of atomic or molecular theory can be formulated either in configuration space (where operators act on the coordinates of the particles) or in Fock space (where operators act on the occupation numbers of spin orbitals). The representation of operators in Fock space (often also referred to as occupation number representation or 2 nd quantization) is essentially equivalent to the representation in configuration space, it is, however, more general insofar as a Fock space Hamiltonian has eigenstates with arbitrary numbers of electrons, while in configuration space the number of electrons is fixed.

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