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非平行导线型边界下Maxwell-Chern-Simons场的Casimir效应
Casimir effect of the Maxwell-Chern-Simons field for tow non-parallel lines boundary
【摘要】 在路径积分量子化框架下 ,利用复变函数论中的保角变换与Plana求和公式 ,计算了 (2 +1 )维空间中两个非平行导线型边界下Maxwell Chern Simons场的Casimir效应 .不引入任何截断参数 ,而得出有限的解析表达式
【Abstract】 Based on the Faddeev formalism of path_integral quantization for a constrained Hamiltonian system, the Casimir effect between two non_parallel lines in the (2+1)_dimensional space is calculated by using conformal mapping and Plana summation formula in the theory of complex variable function. Without introducing any cutoff of parameter, the finite analytical expression is obtained.
【关键词】 Casimir效应;
路径积分;
保角变换;
Plana求和公式;
【Key words】 Casimir effect; path integral; conformal mapping; Plana summation formula;
【Key words】 Casimir effect; path integral; conformal mapping; Plana summation formula;
【基金】 华北电力大学青年科研基金 (批准号 :0 60 2 14 )资助的课题~~
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2004年08期
- 【分类号】O413.1
- 【被引频次】1
- 【下载频次】40