【摘 要】
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By using the parameter differential method of operators, we recast the combination function of coordinate and mo-mentum operators into its normal and anti-norma
【机 构】
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Shandong Provincial Key Laboratory of Laser Polarization and Information Technology,College of Physi
论文部分内容阅读
By using the parameter differential method of operators, we recast the combination function of coordinate and mo-mentum operators into its normal and anti-normal orderings, which is more ecumenical, simpler, and neater than the existing ways. These products are very useful in obtaining some new differential relations and useful mathematical integral formu-las. Further, we derive the normally ordered form of the operator ( f Q+gP)-n with n being an arbitrary positive integer by using the parameter tracing method of operators together with the intermediate coordinate-momentum representation. In addition, general mutual transformation rules of the normal and anti-normal orderings, which have good universality, are derived and hence the anti-normal ordering of ( f Q+gP)-n is also obtained. Finally, the application of some new identities is given.
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