本文利用随动表象下处理反常问题的路径积分方法，给出（1+1）维空间费米场玻色化的统一推导方案。
Using the path integral method for handling the anomaly problem under the comoving representation, we present a unified scheme for deriving the bononization of fermion fields in (1+1) dimensions.
利用史瓦西黑洞的辐出度，导出了黑洞费米子场和玻色子场的辐射谱及其对应的维恩位移定律， 并且得出二者的辐射谱及定律略有不同。
By using the radiant emittance of Schwarzchild, the radiation spectrum of black hole are calcutated out. and both of them have a little difference.
三种不同结构的碳纳米管在费米能的增幅上有些差异，带宽减小的程度也是不同的，一端封闭的碳纳米管在F掺杂后费米能的增幅最大，说明在制备场发射电极时选择一端封闭的碳纳米管更加有利。
Difference in extent of the Fermi energy and decrease of band-gap energy for three kinds of CNTs show that CNT with one end open is favorable for the preparation of field emission electrode.
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