Relativistic Many-Body Theory by Ingvar Lindgren

Author:Ingvar Lindgren
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

Multireference Model Space

We shall now investigate the time dependence of the Green’s operator in a general, quasi-degenerate model space. We can express the relation (6.96), using the general perturbation, as

(6.128)

valid in the general multireference (quasi-degenerate) case, where P ℰ is the part of the model space with energy and is given by (6.138). This can be formally expressed as an operator relation

(6.129)

valid in the entire model space. We have here introduced the symbol A  ∗ , which implies that the operator Aoperates directly on the model-space state to the right. Thus, . Similarly, .

In analogy with (6.45), we have

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