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Marginal Distributions of Wigner Function in a Mesoscopic L-C Circuit at Finite Temperature and Thermal Wigner Operator
Authors:Bao-Long Liang  Ji-Suo Wang  Hong-Yi Fan
Institution:(1) School of Physical Science and Information Engineering, Liaocheng University, Liaocheng, Shandong Province, 252059, P.R. China;(2) Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China;(3) Department of Material Science and Engineering, University of Science and Technology of China, Hefei, 230026, P.R. China
Abstract:Wigner function in phase space has its physical meaning as marginal probability distribution in coordinate space and momentum space respectively, here we endow the Wigner function with a new physical meaning, i.e., its marginal distributions’ statistical average for q 2/(2C) and p 2/(2L) are the energy stored in capacity and in inductance of a mesoscopic L-C circuit at finite temperature, respectively. PACS numbers: 03.65.-w, 73.21.-b
Keywords:L-C circuit  thermal Wigner operator  IWOP technique  marginal distribution
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