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Connection between the manne—Åberg theorem and a sum rule derived in the framework of the green's-function formalism

✍ Scribed by Dietmar Saddei; Hans-Joachim Freund; Georg Hohlneicher


Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
259 KB
Volume
68
Category
Article
ISSN
0009-2614

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✦ Synopsis


A sum rule for ionization potentkds. similar to the Marine-Xberg theorem, is derived in the fmmeliork of a many-body Green's_function formaiism_This sum rule is shown to be valid under main& t\o conditions (3 the constant term and the aftiity poks of the seff-energ part tie to be neglected; (ii) the finaI state ux\efunction has to be separabIe in a freeekctron and an (A'-i)-ekctron part. The latter assumption is discussed in connection uith the sudden approximation which is not used for the derivation of the new sum rule.