Dirac矩阵和Pauli矩阵在塑性力学中的应用
The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity
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摘要: 本文在求解塑性力学问题中,采用了量子电动力学中著名的Dirac矩阵和Pauli矩阵,使求解塑性应力增量的问题变得十分简单.Abstract: We are primarily concerned in this paper with the problem of plasticity. The solution of the problem of stress-increment for plasticity can be put into extremely compact form by famous Dirac matrices and Pauli matrices of quantum electrodynamics.
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[1] 沈惠川,单色弹性波谱的分裂,应用数学和力学,5,4 (1984),541-551. [2] 沈惠川,弹性基上的薄板在侧向动载荷、中面力和外场联合作用下的小挠度弯曲,应用数学和力学,5,6 (1984),817-827. [3] 沈惠川,弹性动力学的通解,应用数学和力学,8,9 (1985),791-796. [4] 沈惠川,薄壳理论中的Schrödinger方程,应用数学和力学,6,10(1985),887-900. [5] 沈惠川,理想塑性力学问题的通解,自然杂志,8,11 (1985),846-848. [6] 沈惠川,理想塑性问题中的一般方程、双调和方程和本征方程,应用数学和力学,7,1(1986),61-72. [7] Dirac,P.A.M.,The Principles of Quantum Mechanics,Oxford(1958).中译本,《量子力学原理》,陈咸亨译,科学出版社(1965),260-262. [8] Van der Waerden B.L.,Group Theory and Quantum Mechanics,Springer-Verlag(1974).中译本,《群论与量子力学》,赵展岳等译,上海科学技术出版社(1980),140-144. [9] 钱伟长,《变分法及有限元》,上册,科学出版社(1980年),578-598. [10] Ley Koo,E.and R.C.Wang,Charged Spin-1/2 particles in uniform electrical field,Journal of China University of Science and Technology,13,2(1983),167. [11] Duffin,R.J.,On the characteristic matrices of covariant systems,Phys.Rev.,54(1938),1114. [12] Kemmer,N.,The particle aspect of meson theory,Proc.Roy.Soc.,173(1939),91-116.
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