Department of Applied Physics and Engineering, Russian-Armenian State University, 123 Hovsep Emin Str,, Yerevan, 0051, Armenia.
Nanoscale Res Lett. 2008 Dec 6;4(2):130-7. doi: 10.1007/s11671-008-9212-7.
Energy level structure and direct light absorption in a cylindrical quantum dot (CQD), having thin falciform cross section, are studied within the framework of the adiabatic approximation. An analytical expression for the energy spectrum of the particle is obtained. For the one-dimensional "fast" subsystem, an oscillatory dependence of the wave function amplitude on the cross section parameters is revealed. For treatment of the "slow" subsystem, parabolic and modified Pöschl-Teller effective potentials are used. It is shown that the low-energy levels of the spectrum are equidistant. In the strong quantization regime, the absorption coefficient and edge frequencies are calculated. Selection rules for the corresponding quantum transitions are obtained.
在绝热近似框架内，研究了具有薄镰形横截面的圆柱形量子点（CQD）的能级结构和直接光吸收。得到了粒子能谱的解析表达式。对于一维“快”子系统，揭示了波函数振幅对横截面参数的振荡依赖性。对于“慢”子系统的处理，使用了抛物线和修正的 Pöschl-Teller 有效势。结果表明，谱的低能级是等距的。在强量子化 regime 下，计算了吸收系数和边缘频率。获得了相应量子跃迁的选择规则。
