The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity

Shen Hui-chuan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(2): 177-183

Shen Hui-chuan. The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity[J]. Applied Mathematics and Mechanics, 1987, 8(2): 177-183.

Citation:

Shen Hui-chuan. The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity[J]. Applied Mathematics and Mechanics, 1987, 8(2): 177-183.

Citation:

Shen Hui-chuan. The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity[J]. Applied Mathematics and Mechanics, 1987, 8(2): 177-183.

PDF( 390 KB)

The Application of Dirac Matrices and Pauli Matrices for the Theory of Plasticity

Shen Hui-chuan

University of Science and Technology of China, Hefei

Received Date: 1984-03-12
Publish Date: 1987-02-15

Abstract

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.

FullText(HTML)

References(12)

References

[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.