Summary
It is shown that the various types of normal terms arising from the normal ordering of a disordered product of fermion operators can be enumerated with the aid of a well-known combinatorial problem, called the problem of the rooks.
Riassunto
Si mostra ehe i vari tipi di termini normali dcrivanti dall’ordinamento normale di un prodotto disordinato di operatori fermionioi possono essere enumerati con l’ausilio di un ben noto problema combinatorio, detto problema dello torri.
Резюме
Показывается, что раз личные типы нормальных членов, во зникающие из нормального упоря дочивания неупорядо ченного произведения фермио нных операторов, могут быть перечисле ны с помощью хорошо из вестной проблемы комбинатор ики.
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References
G. C. Wick:Phys. Rev.,80, 268 (1950).
J. Riordan:An Introduction to Combinatorial Analysis (New York, 1958).
C. L. Liu:Introduction to Combinatorial Mathematics (New York, 1968).
E. R. Caianiello:Nuovo Cimento,10, 1634 (1953);11, 492 (1954);Suppl. Nuovo Cimento,14, 177 (1959).
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Work supported by the National Research Council of Canada.
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Navon, A.M. Combinatorics and fermion algebra. Nuov Cim B 16, 324–330 (1973). https://doi.org/10.1007/BF02828687
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DOI: https://doi.org/10.1007/BF02828687