NUMBER OPERATORS IN A GENERAL QUON ALGEBRA

The existence of the number operators N(k) in a general quon algebra i s proved and a general construction of N(k) is Presented. A new genera l simple structure of N(k) is proved when \q(ij)\ < 1, for-all i, j is -an-element-of S, General recurrent relations for the corresponding co efficients are constructed and solved in special cases. These solution s are discussed and a conjecture for a general solution is proposed. C ases in which some or all \q(ij)\ = 1 are discussed.