engleski

Number operators in a general quon algebra

The existence of the number operators Nk in a general quon algebra is proved and a general construction of Nk is presented. A new general simple structure of Nk is proved when |qij| <1, For all i, j in S. General recurrent relations for the corresponding coefficients are constructed and solved in special cases. These solutions are discussed and a conjecture for a general solution is proposed. Cases in which some or all |qij| =1 are discussed.

quon algebra ; number operator ; recurrent relations

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