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• W2098401884 abstract "The treatment of constants of motion and symmetry properties in partitioning technique and perturbation theory is briefly discussed. A constant of motion may be characterized by a set of projection operators {QQ} forming a resolution of the identity and leading to a splitting of the Hilbert space into orthogonal and non-interacting subspaces. It is shown that, in the partitioning technique, it is sufficient to consider only one such subspace at a time, which is a considerable simplification. The treatment may be extended to perturbation theory ℋ = ℋ 0 + V, and it is shown that the unperturbed Hamiltonian ℋ 0 enters the formalism only in the form of the reduced resolvents occurring in ordinary perturbation theory. It is emphasized that, even if the infinite-order expressions are unique, the finite-order expansions in the perturbation V are ambiguous, and the relation between various forms is studied." @default.
• W2098401884 created "2016-06-24" @default.
• W2098401884 creator A5012651484 @default.
• W2098401884 date "2009-06-18" @default.
• W2098401884 modified "2023-09-27" @default.
• W2098401884 title "Some comments on the treatment of symmetry properties in perturbation theory" @default.
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• W2098401884 doi "https://doi.org/10.1002/qua.560020715" @default.
• W2098401884 hasPublicationYear "2009" @default.
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