Operator ordering index method for multiple commutators and Suzuki’s quantum analysis
Mitsuo Abe, Noriaki Ikeda, Noboru Nakanishi · Journal of Mathematical Physics · 1997
General formulas are presented for the multiple commutator involving a function of an operator A in terms of (multiple) commutators involving A by using “operator ordering indices.” It is pointed out that this analysis essentially reproduces the quantum analysis, proposed by Suzuki very recently, in a more transparent way. Extension to the case of several operators is also made in an elegant form.