Operator ordering index method for multiple commutators and Suzuki's quantum analysis

Mitsuo Abe, Noriaki Ikeda, Noboru Nakanishi
1997 Journal of Mathematical Physics  
General formulas are presented for the multiple commutator involving a function of an operator A in terms of ͑multiple͒ 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.
doi:10.1063/1.531876 fatcat:2ctyypdmrrgtdilspiax47ucbe