n维相对论粒子的量子态密度及其应用  

The derivation and application of the density of quantum states for relativistic particle in n dimensions

作　　者：王立志[1] 柳盛典[2] 阮文举[1] 慕海峰[2] 

机构地区：[1]鲁东大学实验室与设备管理处,山东烟台264025 [2]鲁东大学物理与电子工程学院,山东烟台264025

出　　处：《大学物理》2009年第2期28-30,共3页College Physics

基　　金：鲁东大学校科研基金资助项目(W20061901)

摘　　要：利用半经典近似的方法,推导出了n维相对论自由粒子量子态密度以及黑体辐射中两类粒子的辐射公式的统一表达式,并且给出了低维情况下的表达式,所得结果与三维空间的预期结果一致.这对于深化低维体系的教学与研究具有重要的意义.By the means of the semi-classical approximation, the density of quantum states for relativistic particles in n-dimensional space is derived and thus the lower dimensional results are obtained, and then apply it in the research of the black body radiation of n- dimensional space, the universal expressions of two kinds of particles in black body radiation is inferred, our main formulas which is yielded in the lower dimensions are consistent with our expected results for the three-dimensional space, which plays an important role for deepening the teaching and research in the lower dimensions.

关 键 词：N维 相对论粒子 量子态密度 黑体辐射 

分 类 号：O414[理学—理论物理]