We consider the quantum mechanical SU(2) transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J±,...We consider the quantum mechanical SU(2) transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J±, Jz) from the point of view of squeezing we find that (J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation (the eigenvectors of J+ or J-) of the 3-mode squeezing operator e^2λJz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators.展开更多
开关回路电阻是评价开关设备状态的重要参数之一,针对3/2接线方式变电站开关回路电阻在线评估问题,提出一种基于偏最小二乘法的在线计算方法。根据变电站开关电流数据和基尔霍夫定律,建立开关回路电阻的数学模型。为减小不同时刻电流工...开关回路电阻是评价开关设备状态的重要参数之一,针对3/2接线方式变电站开关回路电阻在线评估问题,提出一种基于偏最小二乘法的在线计算方法。根据变电站开关电流数据和基尔霍夫定律,建立开关回路电阻的数学模型。为减小不同时刻电流工况线性相关性带来的误差,采用偏最小二乘法求解开关回路电阻。最后,以采用3/2接线方式的某500 k V变电站为例,进行仿真计算。结果表明,采用偏最小二乘法能显著减小电流工况线性相关性带来的误差,相比于最小二乘法,精度更高。展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.11175113 and 11275123)the Key Project of Natural Science Fund of Anhui Province,China(Grant No.KJ2013A261)
文摘We consider the quantum mechanical SU(2) transformation e^2λJzJ±e^-2λJz = e^±2λJ±as if the meaning of squeezing with e^±2λ being squeezing parameter. By studying SU(2) operators (J±, Jz) from the point of view of squeezing we find that (J±,Jz) can also be realized in terms of 3-mode bosonic operators. Employing this realization, we find the natural representation (the eigenvectors of J+ or J-) of the 3-mode squeezing operator e^2λJz. The idea of considering quantum SU(2) transformation as if squeezing is liable for us to obtain the new bosonic operator realization of SU(2) and new squeezing operators.
文摘开关回路电阻是评价开关设备状态的重要参数之一,针对3/2接线方式变电站开关回路电阻在线评估问题,提出一种基于偏最小二乘法的在线计算方法。根据变电站开关电流数据和基尔霍夫定律,建立开关回路电阻的数学模型。为减小不同时刻电流工况线性相关性带来的误差,采用偏最小二乘法求解开关回路电阻。最后,以采用3/2接线方式的某500 k V变电站为例,进行仿真计算。结果表明,采用偏最小二乘法能显著减小电流工况线性相关性带来的误差,相比于最小二乘法,精度更高。