研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；
A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.
利用解析函数的性质，通过反双曲余弦计算出了由共焦点椭圆导体柱面组成的电容器内电场和单位长度的电容，并对结果作了进一步讨论。
The electric field and capacitance of a confocal elliptic capacitor are calculated by the inverse hyperbolic cosine analytic function, and discussion on them is performed.
利用解析函数的性质，通过反双曲余弦计算出了由共焦点椭圆导体柱面组成的电容器内电场和单位长度的电容，并对结果作了进一步讨论。
The electric field and capacitance of a confocal elliptic capacitor are calculated by the inverse hyperbolic cosine analytic function, and discussion on them is performed.
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