论文标题
麦克斯韦操作员在气缸中。变量的分离
Maxwell operator in a cylinder. Separation of variables
论文作者
论文摘要
考虑了3D圆柱体中的麦克斯韦操作员。该系数仅取决于纵向变量。该运算符表示为$ l_2（{\ Mathbb r}）$的一阶矩阵差分运算符的一组总和。基于此表示，我们在两种特殊情况下详细描述了麦克斯韦操作员光谱的结构：1）在无穷大的系数稳定的情况下； 2）在周期性系数的情况下。
The Maxwell operator in a 3D cylinder is considered. The coefficients are assumed to be scalar functions depending on the longitudinal variable only. Such operator is represented as a sum of countable set of matrix differential operators of first order acting in $L_2({\mathbb R})$. Based on this representation we give a detailed description of the structure of the spectrum of the Maxwell operator in two particular cases: 1) in the case of coefficients stabilizing at infinity; and 2) in the case of periodic coefficients.
