摘要
非对易空间的量子效应是出现在弦的尺度下的一种物理效应。从Moyal-Weyl乘法与Bopp变换出发,利用了非对易相空间的量子力学代数关系;在考虑坐标-坐标和动量-动量两个方面非对易性的情况下,讨论了磁场中带电粒子在非对易相空间的Hamiltonian算符;最后重新定义了消灭-产生算符,并且给出了相应的能级。
In the string scale, the effect of non - commlltativity of space may appear. In this paper, Moyal -Weyl multiplication sign and shift are introduced. Because the coordinates -coordinates non -commutative in commute relation of space variable is put into consideration, the annihilation and creation operator are defined again. The energy and Itamiltonian of the charged particle in the magnetic field in non - commutative phase spaces are discussed by using quantum - mechanical algebra in non - commutative spaces.
出处
《陕西理工学院学报（自然科学版）》
2007年第2期42-45,共4页
Journal of Shananxi University of Technology:Natural Science Edition
基金
国家自然科学基金资助项目(10447005)
陕西理工学院科研资助项目(SLG0521)
