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field equations
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  场方程
     Bargmann-Wigner Equation and High Spin Field Equations
     Bargmann-Wigner方程与高自旋场方程
短句来源
     By assuming p=Aρ, and the total intrinsic energy density to be εr k(k+D-1>0), the higher dimensional Einstein Maxwell field equations are strictly solved in a static charged sphere, resulting in an exact interior solution of the equations.
     假设物态方程满足p=Aρ,以及总固有能量密度为εrk(k+D-1>0),本文严格求解了高维时空中静态荷电球内Einstein-Maxwel场方程,得到了方程的一个精确解.
短句来源
     The double fiber bundle P2(P1(M,U(1)),U(1))is set up in this article ,We found the action and the field equations unified gravitation-electromagnetism-scalar fields. We gave a new geometrical interpretation to the scalar field.
     建立了双重纤维丛P2(P1(M,U(1),U(1)),求得了统一引力、电磁和标量场的作用量和场方程,给出了标量场新的几何解释.
短句来源
     An Approximate Solution of SU(2) Self-dual Yang-Mills Field Equations
     SU(2)自对偶Yang—Mills场方程的一个近似解
短句来源
     EINSTEIN'S FIELD EQUATIONS OF CRFP FLUID IN NEWMAN-PENROSE FORMALISM
     CRFP流体Einstein场方程的Newman-Penrose形式
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  的场方程
     The field equations for a flat Robertson-Walker background
     平直Robertson-Walker宇宙背景的场方程
短句来源
     Taking the principal fibre bundle P over Riemann - Cartan menifold with the group structure U(l)as Kaluza - Klein space,we construct an action for the unified system including gravitation,fifth force and gauge electromagnetic field,and derive the field equations using the action.
     以Riemann—Cartan时空为底流形,U(1)群为结构群的主纤维丛空间P作为有挠的五维Kaluza—Klein空间,构造引力、电磁规范场和第五种力的统一作用量,得到了相应的场方程
短句来源
     GAUGE FIELD EQUATIONS OF STRONG GRAVITY
     规范强引力的场方程
短句来源
     Based on the Biot theory, the semi-discretization procedure of the field equations governing evolutions of the displacements u of the solid skeleton and the pore water pressure p_w in deforming saturated porous media results in the u-p_w mixed finite element formulations.
     基于Biot理论,控制饱和变形多孔介质中固相位移u和孔隙压力pw演变的场方程的空间半离散化导致u-pw型混合有限元方程。
短句来源
     GENERAL FORMS OF FIELD EQUATIONS AND FREE PARTICLE'S EQUATIONS OF MOTION FOR THEORIES OF GRAVITATION
     引力理论的场方程与自由粒子运动方程的一般形式
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  场方程组
     Exact Analytical Solutions of Nonlinear Coupled Scalar Field Equations
     非线性耦合标量场方程组的精确解析解
短句来源
     A method to construct the traveling wave solutions to nonlinear evolution equations is presented. The explicit solutions of the Hirota Satsuma equations, a class of nonlinear ordinary differential equation and the generalized coupled scalar field equations are obtained by using the method.
     该文给出了一种构造非线性发展方程显式行波解的方法 ,并用该方法得到了 Hirota-Satsuma方程组 ,一类非线性常微分方程以及广义耦合标量场方程组的显式行波解 .
短句来源
     With the aid of computer algebra system Maple, the nonlinear algebra equations corresponding to the nonlinear coupled scalar field equations can be successfully solved this way, and eventually many exact solutions to it can be obtained.
     用这种办法在计算机代数系统Maple上成功地求解了非线性耦合标量场方程组所对应的非线性代数方程组,最终获得了耦合标量场方程组的众多精确解。
短句来源
  “field equations”译为未确定词的双语例句
     THE C′M′P′T′TRANSFORMATIONS OF Maxwell FIELD EQUATIONS
     Maxwell方程的C′M′P′T′变换
短句来源
     Starting from the magnetic field equations B·dS=0 and ∮ lB·dl=μ 0ΣI i, the paper proofs the magnetic field distribution of infinite current-carrying solenoid
     本文从磁场方程sBdS=0和∮Bdl=μΣI出发,对载流无限长螺线管的磁场分布进行了全面的证明
短句来源
     The instantonlike and meronlike vacuum solutions of conformally covariant nonlinear coupled scalar and spinor field equations are discussed.
     我们讨论了标量-旋量共形协变非线性耦合方程的instantonlike和meronlike真空解。
短句来源
     Based on turbulence theory of hydrodynamics,threedimensional turbulence field equations were established with the use of N-S equation and κ-ε model to investigate the welding aerosol diffusion process in welded structure workshop.
     以焊接结构车间的焊接气溶胶扩散过程为研究对象,应用计算流体力学湍流理论,选择包含浮力项的三维N-S方程以及κ-ε方程模式建立了焊接气溶胶扩散的数学模型。
短句来源
     Symplectic Algorithms and Its Applications in Electromagnetic Field Equations
     辛算法及其在电磁场方程中的应用
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  field equations
Exact solutions of the spherically symmetric gravitational field equations
      
Exact solutions of the spherically symmetric gravitational field equations
      
Finally, a method of deriving integral field equations is proposed.
      
The linear optical size resonances are described based on a closed system of equations for dipole oscillators and nonlocal field equations taking into account the dipole-dipole interactions of atoms in the radiation field.
      
The properties of nonlinear optical size resonances excited by an intense radiation field were theoretically and numerically studied using the modified Bloch equations and nonlocal field equations.
      
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The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

本文用安因斯坦力学及引力论解释宇宙之膨胀现象。从本文方程式中可证明雷猛德及米恒诸氏之学说皆为本文之近似值,而本文理论之能成立与否须恃200英寸反光镜完成后之观测云。

By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties...

By using elementary methods of Riemannian Geometry the Friedmann universe can be derived under the following rive postulates: (1) The space-time is Riemannian. (2) Einstein's field equations hold. (3) Matter and radiation in the universe are in a state of thermal equilibrium. (4) The world lines of all 'nebulae converge toward the past. (5) The null geodesies are preserved unfler an infinitesimal transformation of space-time along the temporal axis. It is obvious that the isotropic and homogeneous properties of space-time then follow as a necessary consequence.

根据五个假定,即(1)空时间为利曼四度空间,(2)安世坦的引力定律,(3)宇宙中的物质与辐身成一温度平衡状态,(4)所有空时间中旋转星云的世界线在过去曾相交叉,(5)空时间在时的方向经一无限小变换之后光子的零短程线仍为零短程线,本文用利曼几何的简易方法求得相对论宇宙论中的费烈特猛宇宙。

General relations between the field equation and the commutator of quantized field are obtained by means of the field equation itself and some invariant requirements. From the requirement of invariant under the transformation of charge-conjugation, the connection between spin and statistics of the field, determining whether the quantization of Fermi or Bose should be used for a certain field, is found. Generalizing the relation between the variation of transformation matrix of state...

General relations between the field equation and the commutator of quantized field are obtained by means of the field equation itself and some invariant requirements. From the requirement of invariant under the transformation of charge-conjugation, the connection between spin and statistics of the field, determining whether the quantization of Fermi or Bose should be used for a certain field, is found. Generalizing the relation between the variation of transformation matrix of state vectors defined by fields quantities on different space-like surfaces, and the variation of the action integral, which has been derived by SchWinger, an expression of S-matrix, in which the interaction Lagrange density replaces the interaction Hamiltonian density, is obtained. The same result has been obtained by after some cumbrous derivations based on certain general principles.

利用场方程及一些协变要求,作者导出场量子化条件及对易子与场方程的一般关系,并由电荷共轭不变的要求决定对费米(Fermi)或波色(Bose)量子化方式的选择,即决定自旋与统计的关系。

 
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