论文标题
环形外壳中的电子气体：模式耦合和状态功能
Electron gases in toroidal shells: mode coupling and state functions
论文作者
论文摘要
使用基集的膨胀自然对系统几何形状进行自然膨胀确定，描述环形壳中的自由电子气体的特征值和波浪函数。在$ {m_ϕ} $的较低值下，Azimuthal和Poloidal模式之间的耦合是可观的，从而修改了外壳内的单个粒子密度分布。计算热力学状态功能并与固体环体积的功能进行对比。
Eigenvalues and wave functions describing free electron gases in toroidal shells are determined using a basis set expansion natural to the system geometry. Couplings between azimuthal and poloidal modes are found to be appreciable at lower values of ${m_ϕ}$, modifying single particle density distributions within the shells. Thermodynamic state functions are calculated and contrasted with those of a solid toroidal volume.
