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The Homotopic Probability Distribution and the Partition Function for the Entangled System Around a Ribbon Segment Chain

The Homotopic Probability Distribution and the Partition Function for the Entangled System Around a Ribbon Segment Chain

作     者:QIAN Shang-Wu GU Zhi-Yu 

作者机构:Department of Physics Peking University Beijing 100871 China Department of Physics Capital Normal University Beijing 100037 China 

出 版 物:《Communications in Theoretical Physics》 (理论物理通讯(英文版))

年 卷 期:2001年第36卷第12期

页      面:691-694页

核心收录:

学科分类:07[理学] 0702[理学-物理学] 

主  题:Feynman's path integral with topological constraints, homotopic probability distribution, parti tion function, entangled system around a ribbon segment chain 

摘      要:Using the Feynman s path integral with topological constraints arising from the presence of one singular line, we find the homotopic probability distribution PnL for the winding number n and the partition function PL of the entangled system around a ribbon segment chain. We find that when the width of the ribbon segment chain 2a increases,the partition function exponentially decreases, whereas the free energy increases an amount, which is proportional to the square of the width. When the width tends to zero we obtain the same results as those of a single chain with one singular point.

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