Magnetic induction of a circular current is calculated using magnetic scalar potential.
用磁标势法计算了圆形线电流的磁感应强度。
For a pure scalar potential the zero energy bound state does exist, and the fractional charge does exist.
对于纯标量场，存在零能量束缚态，存在分数电荷。
According to the vector relation and Biot-savart law the magnetic scalar potential notation is directly derived.
根据这个关系式和毕-沙定律，直接导出磁标量位的表达式。
A scalar potential is introduced and finite element method is used to solve the tooth layer magnetic field problems.
在齿层区域有永磁体材料存在的情况下采用标量位求解，并用有限元法计算齿层磁场。
When the vector potential function and the differential of the scalar potential function are computed, singular points would occur on TPM.
但在计算矢量位函数和标量位函数的微分过程中，TPM模型将产生奇异点。
And the problem is converted to the typical Neumann boundary value problem for the elliptic equations by inducing the scalar potential function.
通过引入静电场的标量位函数，将电场强度的矢量泊松方程转化为位势的椭圆型偏微分方程的诺依曼边值问题。
The modified scalar potential is used to reduce the order of the coupled equations in the comparison with the vector potential under the same node number.
计算量采用修正标量位，这样在同样的节点数下相对于矢量位它可以减少联立方程的阶数。
At very low frequencies, the contribution from the vector potential to the impedance matrix is much smaller than the contribution from the scalar potential.
当频率很低时，阻抗矩阵中矢量磁位的贡献比标量电位的贡献小得多。
The analytical solutions of stresses, displacement and pore pressure amplitude are derived in frequency domain by introducing two scalar potential functions.
引入两个势函数，在频域中得到了应力、位移和超孔隙水压力响应解答。
The influence of double layer for scalar potential, the double layer universal solutions of scalar potential and the only theorem of boundary value problem are discussed.
论述了偶层对标势的影响及有偶层存在时标势的普遍解和边值问题的唯一性定理。
The errors resulting from the neglecting the electric scalar potential are analysed using numerical models. The 3D-numerical solution is verified by the analytic solution.
通过实际算例研究了忽略标量电位所引起的误差，用解析解答验证了三维数值解的正确性。
If using the scalar potential instead of the vector potential to analyze the current-carrying regions in a 3d magnetostatic field, the computing time can be greatly reduced.
在三维有限元磁场中，如果对电流区域进行适当处理，采用标量磁位进行分析，与采用矢量磁位相比，可大大提高计算速度。
The model employs the imaginary magnetic current density and magnetic charge density distributed over the interfaces of different regions, and the scalar potential on these interfaces as unknowns;
模型以假设分布于不同区域交界面上的虚拟磁流密度、磁荷密度以及标量电位为待求解的未知变量；
The functional formalism for the effective potential is briefly reviewed for the case of a scalar field theory by using the method of steepest descents.
本文首先在标量场论的情形下，用最速下降法对有效势的泛函形式作了简要的评论。
This paper presents a new finite element approach using a single scalar magnetic potential for the analysis of the eddy currents and the magnetic fields.
本文提出一种计算涡流及磁场的新方法—全标量位有限元法。
It is justified that the integral of the gauge potential along path of not only electron but also scalar particle or spinor particle will contribute a geometric phase factor.
证明了规范场不仅沿入射电子在复连通区域运动路径的积分，而且还可沿入射标量或其他旋量粒子之一在复连通区域的运动路径积分，各自都将贡献一几何相因子。
In this paper, a complex scalar magnetic potential finite element method is proposed to calculate the three dimensional anisotropic nonlinear magnetic field and iron loss in transformer cores.
本文提出复标量磁位的有限元法计算变压器铁心中三维各向异性非线性磁场和损耗。
In this paper, a complex scalar magnetic potential finite element method is proposed to calculate the three dimensional anisotropic nonlinear magnetic field and iron loss in transformer cores.
本文提出复标量磁位的有限元法计算变压器铁心中三维各向异性非线性磁场和损耗。
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