Group Theory and Many Body Diagrams. II. Enumeration Methods and Number Approximations

Group Theory and Many Body Diagrams. II. Enumeration Methods and Number Approximations

Some theorems useful to the enumeration of diagrams occurring in many body theory are proven and applied. The exact number of such diagrams is given for orders less than ten, and a useful asymptotic formula for this number is obtained. Lastly, a simplified method for the evaluation of exchange-equiv...

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Veröffentlicht in:Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences Mathematical and physical sciences, 1976-03, Vol.348 (1654), p.339-357
Hauptverfasser: Ihrig, E., Rosensteel, G., Chow, H., Trainor, L. E. H.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Diagrams
Greens function
Group theory
Line graphs
Many body problems
Mathematical induction
Mathematical monotonicity
Mathematical theorems
Vertices
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Beschreibung
Zusammenfassung:Some theorems useful to the enumeration of diagrams occurring in many body theory are proven and applied. The exact number of such diagrams is given for orders less than ten, and a useful asymptotic formula for this number is obtained. Lastly, a simplified method for the evaluation of exchange-equivalent diagrams is presented.
ISSN:1364-5021
0080-4630
1471-2946
2053-9169
DOI:10.1098/rspa.1976.0042