Written by C.G. Wohl （LBNL）. This note tells （1） how SU（n） particle multiplets are identified or labeled, （2） how to find the number of particles in a multiplet from its label, （3） how to draw the Young dia...Written by C.G. Wohl （LBNL）. This note tells （1） how SU（n） particle multiplets are identified or labeled, （2） how to find the number of particles in a multiplet from its label, （3） how to draw the Young diagram for a multiplet, and （4） how to use Young diagrams to determine the overall multiplet structure of a composite system, such as a 3-quark or a meson-baryon system.展开更多
以立方结构的纯金属为研究对象,在文献报道的实验信息的基础上,运用改进的半经验模型优化并计算了金属在不同温度时的杨氏模量.借鉴相图计算的CALPHAD(calculation of phase diagrams)方法,构建了二元合金杨氏模量计算的新模型.基于二...以立方结构的纯金属为研究对象,在文献报道的实验信息的基础上,运用改进的半经验模型优化并计算了金属在不同温度时的杨氏模量.借鉴相图计算的CALPHAD(calculation of phase diagrams)方法,构建了二元合金杨氏模量计算的新模型.基于二元合金的实验信息,对Ag-Au、Ta-W、Pt-Rh和Pt-Ir 4个二元合金的杨氏模量计算参数进行了优化,计算了合金在不同温度、成分时的杨氏模量,计算结果与实验信息取得了良好的一致性.展开更多
The investigation of the exact traveling wave solutions to the nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To understand the mechanisms of those physical phenome...The investigation of the exact traveling wave solutions to the nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To understand the mechanisms of those physical phenomena, it is necessary to explore their solutions and properties. The Wronskian technique is a powerful tool to construct multi-soliton solutions for many nonlinear evolution equations possessing Hirota bilinear forms. In the process of utilizing the Wronskian technique, the main difficulty lies in the construction of a system of linear differential conditions, which is not unique. In this paper, we give a universal method to construct a system of linear differential conditions.展开更多
Let Uq(osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph...Let Uq(osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite-dimensional irreducible modules of Uq(osp(1|2n)) is given. Also, the generalized LittlewoodRichardson rule for tensor product of crystal graphs is established.展开更多
Integrability plays a central role in solving many body problems in physics. The explicit construction of the Jack polynomials is an essential ingredient in solving the Calogero–Sutherland model, which is a one-dimen...Integrability plays a central role in solving many body problems in physics. The explicit construction of the Jack polynomials is an essential ingredient in solving the Calogero–Sutherland model, which is a one-dimensional integrable system. Starting from a special class of the Jack polynomials associated to the hook Young diagram, we find a systematic way in the explicit construction of the transition coefficients in the power-sum basis, which is closely related to a set of mutually commuting operators, i.e. the conserved charges.展开更多
文摘Written by C.G. Wohl （LBNL）. This note tells （1） how SU（n） particle multiplets are identified or labeled, （2） how to find the number of particles in a multiplet from its label, （3） how to draw the Young diagram for a multiplet, and （4） how to use Young diagrams to determine the overall multiplet structure of a composite system, such as a 3-quark or a meson-baryon system.
文摘以立方结构的纯金属为研究对象,在文献报道的实验信息的基础上,运用改进的半经验模型优化并计算了金属在不同温度时的杨氏模量.借鉴相图计算的CALPHAD(calculation of phase diagrams)方法,构建了二元合金杨氏模量计算的新模型.基于二元合金的实验信息,对Ag-Au、Ta-W、Pt-Rh和Pt-Ir 4个二元合金的杨氏模量计算参数进行了优化,计算了合金在不同温度、成分时的杨氏模量,计算结果与实验信息取得了良好的一致性.
基金supported by the National Natural Science Foundation of China(Grant Nos.51379033,51522902,51579040,J1103110,and 11201048)
文摘The investigation of the exact traveling wave solutions to the nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To understand the mechanisms of those physical phenomena, it is necessary to explore their solutions and properties. The Wronskian technique is a powerful tool to construct multi-soliton solutions for many nonlinear evolution equations possessing Hirota bilinear forms. In the process of utilizing the Wronskian technique, the main difficulty lies in the construction of a system of linear differential conditions, which is not unique. In this paper, we give a universal method to construct a system of linear differential conditions.
基金supported by National Natural Science Foundation of China (Grant Nos.10671016 10771014)Beijing Natural Science Foundation (Grant No. 1062003)
文摘Let Uq(osp(1|2n)) be the quantized enveloping superalgebra corresponding to the Lie superalgebra osp(1|2n). In terms of semistandard Young tableaux satisfying some additional conditions, a realization of crystal graph of finite-dimensional irreducible modules of Uq(osp(1|2n)) is given. Also, the generalized LittlewoodRichardson rule for tensor product of crystal graphs is established.
基金Supported by National Natural Science Foundation of China under Grant No.11035008
文摘Integrability plays a central role in solving many body problems in physics. The explicit construction of the Jack polynomials is an essential ingredient in solving the Calogero–Sutherland model, which is a one-dimensional integrable system. Starting from a special class of the Jack polynomials associated to the hook Young diagram, we find a systematic way in the explicit construction of the transition coefficients in the power-sum basis, which is closely related to a set of mutually commuting operators, i.e. the conserved charges.
