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Wick定理及约化密度矩阵的重构方案 被引量:1
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作者 陈飞武 《中国科学(B辑)》 CSCD 北大核心 2006年第3期197-201,共5页
利用外积获得了Wick定理的封闭表达式,并给予了严格的证明.新的表示式类似于二项式展开.利用这一新形式,推导出了约化密度矩阵的重构方程.高级约化密度矩阵系统地分解为低级约化密度矩阵的和.有了这些重构方程便可以求解简宿Schrodi... 利用外积获得了Wick定理的封闭表达式,并给予了严格的证明.新的表示式类似于二项式展开.利用这一新形式,推导出了约化密度矩阵的重构方程.高级约化密度矩阵系统地分解为低级约化密度矩阵的和.有了这些重构方程便可以求解简宿Schrodinger方程(contracted Schrodinger equation). 展开更多
关键词 约化密度矩阵 wick定理 简缩Schr6dinger方程
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一类随机偏微分方程组的均匀化问题
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作者 丁丽 李志远 《宁波大学学报(理工版)》 CAS 2024年第2期101-107,共7页
研究一类随机偏微分方程组的均匀化问题,■_(t)y_(ε)(t,x)=Δy_(ε)(t,x)/2+Vε(x)Ayε(t,x),其中(t,x)∈(0,T)×R^(d),d>2.这里的y_(ε)(t,x)=(u_(ε)(t,x),w_(ε)(t,x))^(T),V_(ε)(x)是含参数的高斯过程,当其相关函数满足特... 研究一类随机偏微分方程组的均匀化问题,■_(t)y_(ε)(t,x)=Δy_(ε)(t,x)/2+Vε(x)Ayε(t,x),其中(t,x)∈(0,T)×R^(d),d>2.这里的y_(ε)(t,x)=(u_(ε)(t,x),w_(ε)(t,x))^(T),V_(ε)(x)是含参数的高斯过程,当其相关函数满足特定的可积条件时,可以使用Duhamel(迭代)展开和Wick定理,给出以上方程的均匀化收敛性. 展开更多
关键词 Duhamel展开 wick定理 均匀化理论 高斯过程
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An Effective Formulation on Quantum Hadrodynamics at Finite Temperatures and Densities
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作者 SUN Bao-Xi Lü Xiao-Fu +3 位作者 LI Lei NING Ping-Zhi SHEN Peng-Nian ZHAO En-Guang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2006年第3期527-534,共8页
According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quan... According to Wick's theorem, the second order self-energy corrections of hadrons in the hot and dense nuclear matter are calculated. Furthermore, the Feynman rules are summarized, and an effective formulation on quantum hadrodynamics at finite temperatures and densities is evauated. As the strong couplings between nucleons are considered, the self-consistency of this method is discussed in the framework of relativistic mean-field approximation. Debye screening masses of the scalar and vector mesons in the hot and dense nuclear matter are calculated with this method in the relativistic mean-field approximation. The results are different from those of thermofield dynamics and Brown-Rho conjecture. Moreover, the effective masses of the photon and the nucleon in the hot and dense nuclear matter are discussed. 展开更多
关键词 quantum hadrodynamics wick's theorem Debye screening masses
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