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电磁场正则量子化方法的协变性证明
引用本文:蒋正宇. 电磁场正则量子化方法的协变性证明[J]. 邵阳学院学报(社会科学版), 2003, 2(5): 27-32
作者姓名:蒋正宇
作者单位:邵阳学院,湖南,邵阳,422000
摘    要:在本文中,利用电磁场正则量子化方法得出等时对易关系理论的不变性,在坐标系平移和空间旋转下予以证明.为了做到这些,除拉氏密度L(x)为标量外,还要导出势A^v(x)满足的务件,他们由M^ck生成的一个无穷小Lorentz变换得到,然后,证明Maxwell方程是Lorentz协变的,也证明了等时对易关系在变换后的坐标中仍然是正确的.

关 键 词:电磁场 正则量子化 协变性 Lorentz变换 Maxwell方程 等时对易关系
文章编号:1672-1012(2003)05-0027-06
修稿时间:2003-08-23

The Proof of Covariance for Canonical Quantization''''s Approach to Electromagnetic Field
Jiang Zheng Yu. The Proof of Covariance for Canonical Quantization''''s Approach to Electromagnetic Field[J]. Journal of Shaoyang University:Social Science, 2003, 2(5): 27-32
Authors:Jiang Zheng Yu
Abstract:In this paper, it is derived from canonical quantization's approach to electromagnetic field that the theoretical invariance for equal-time commutation relations should be proved under translation of system of coordinates and rotations of space.So the satisfied conditions of the potential A u(x) should be derived from M ok genenating an infinitesimal lorentz transform, bseides taking the Lagrangian L(x) as the scalar quantity. And then,that the Maxwell equations were covariant should be proved, and equal-time commutaion relations were correct also in frame of reference transfromed.
Keywords:canonical quantization's approach to electromagnetic field  transformation  equal-time commutation relations  proof  covariance of maxwell equations
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