Sum rules in the response function method

Takayanagi, Kazuo

doi:10.1016/0375-9474(90)90293-U

Sum rules in the response function method

Kazuo Takayanagi
(
- Regensburg U. and
- Tokyo U.
)

1990

11 pages

Published in:

Nucl.Phys.A 510 (1990) 162-172

Published: 1990

DOI:

10.1016/0375-9474(90)90293-U

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Abstract: (Elsevier)

Sum rules in the response function method are studied in detail. A sum rule can be obtained theoretically by integrating the imaginary part of the response function over the excitation energy with a corresponding energy weight. Generally, the response function is calculated perturbatively in terms of the residual interaction, and the expansion can be described by diagrammatic methods. In this paper, we present a classification of the diagrams so as to clarify which diagram has what contribution to which sum rule. This will allow us to get insight into the contributions to the sum rules of all the processes expressed by Goldstone diagrams.

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Quantum theory of many particle systems