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广义非线性、非定常力学理论及在粒子物理学中的应用 被引量:7
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作者 杨文熊 《应用数学和力学》 CSCD 北大核心 1995年第1期23-31,共9页
本文考虑自由质点作高速非定常运动时其动量出现的非线性效应可按Laurent级数展开并可得出非线性和非定常功量力完整表达式。高速度的非线性和非定常现象可进一步推广到质点的非线性和非定常运动学理论,这理论由第Ⅰ类Fncd... 本文考虑自由质点作高速非定常运动时其动量出现的非线性效应可按Laurent级数展开并可得出非线性和非定常功量力完整表达式。高速度的非线性和非定常现象可进一步推广到质点的非线性和非定常运动学理论,这理论由第Ⅰ类Fncdholm型积分方程所确定。另外,根据所得非线性、非定常动量可以导出非线性的力学方程、功和能量、质量和能量诸关系式。文章最后计算了粒子物理学中μ ̄(±)介子和快中子运动的实验,所计算的结果完全被实验所证实。 展开更多
关键词 广义非线性力学理论 特征速度 LAURENT级数 粒子物理学 μ介子 快中子
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GENERALIZED THEORY OF NONLINEAR AND UNSTEADY MECHANICS AND APPLICATIONS TO PARTICLE PHYSICS
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作者 杨文熊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第1期27-35,共9页
In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and u... In this paper we consider that the momentum of a free particle motion withhigh-level speed presenting nonlinear effects may be expanded by using Laurent seriesand then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsieady phenoniena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm's integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations .work and energy, mass and energymay be derived.Finaly .this paper also calculates those experimental results which done in particle physics for mu-mesons u±and fast neutrons n, these results are in agreement with data perfectly. 展开更多
关键词 theory of generalized nonlinear mechanics characteristic speed.Laurent senes particle physics.μ±meson fast neutron
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