In the preceding paper (Commun. Theor. Phys. 51 (2009) 321) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators ...In the preceding paper (Commun. Theor. Phys. 51 (2009) 321) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly desentangle the form of exp[2hJz + g J+ + kJ_] as the ordering exp(... J+)exp(... Jz)exp(... J_), we employ the Schwinger Bose realization J_ = bta, J+ = atb, Jz=(ata - btb)/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator's desentanglng is different from its decomposition in normal ordering.展开更多
基金Supported by the Natural Science Foundation of Heze University of Shandong Province,China under Grant No.XY07WL01the University Experimental Technology Foundation of Shandong Province under Grant No.S04W138
文摘In the preceding paper (Commun. Theor. Phys. 51 (2009) 321) we have recommended a convenient method for disentangling exponential operators. In this work we use this method for disentangling exponential operators composed of angular momentum operators. We mainly desentangle the form of exp[2hJz + g J+ + kJ_] as the ordering exp(... J+)exp(... Jz)exp(... J_), we employ the Schwinger Bose realization J_ = bta, J+ = atb, Jz=(ata - btb)/2 to fulfil this task, without appealing to Lie algebra method. Note that this operator's desentanglng is different from its decomposition in normal ordering.