物理学报Issue(24)：1-12,12.DOI:10.7498/aps.63.240302
复合函数算符的微商法则及其在量子物理中的应用∗
Differential quotient rules of op erator in comp osite function and its applications in quantum physics
摘要
Abstract
Differential quotient rule of composite function operator and its applications in quantum physics, quantum statistics, operator ordering theory, matrix theory and control theory are given. The integration problem of Wigner operator and Weyl corresponding rules are studied. Two kinds of typical operator identity formulas are proved. The differential form of Wigner operator in ordered product of operators and new differential form of important functions are obtained. Finally, a Wigner operator with parameter for unifying regular order, Weyl sequencing and abnormal order is introduced.关键词
复合函数算符/微商法则/Wigner算符/有序算符Key words
composite function operator/differential quotient rule/Wigner operator/ordered product of operators引用本文复制引用
徐世民,徐兴磊,李洪奇,王继锁..复合函数算符的微商法则及其在量子物理中的应用∗[J].物理学报,2014,(24):1-12,12.基金项目
国家自然科学基金(批准号:11244005)和山东省自然科学基金(批准号：Y2008A16)资助的课题.@@@@* Project supported by the National Natural Science Foundation of China (Grant No.11244005) and the Natural Science Foundation of Shandong Province, China (Grant No. Y2008A16) （批准号:11244005）
