论文标题
Quaternionic Goos-Haenchen移动
The quaternionic Goos-Haenchen shift
论文作者
论文摘要
我们研究电子波的横向位移时,当部分和完全反映了Quaternionic电位时。按照量子力学和光学的类比,我们为复合物和纯Quaternionic情况引入了折射率。为了大于关键的发病率(总反射),四基因电位扩大了复杂情况下发现的横向位移。对于低于临界角度的发病率,我们在季节性案例中发现了额外的变化。针对Quaternionic横向位移发现的分析公式使可能观察到复合物和Quosnion Goos-Haenchen偏移之间的定量和定性差异。
We investigate the lateral displacement of electronic waves when partially and totally reflected by a quaternionic potential. Following the analogy between Quantum Mechanics and Optics we introduce a refractive index for the complex and the pure quaternionic case. For incidence greater than the critical one (total reflection) the quaternionic potentials amplify the lateral displacement found in the complex case. For incidence below the critical angle, we find, in the quaternionic case, an additional shift. The analytical formula found for the quaternionic lateral displacement gives the possibility to observe quantitative and qualitative differences between the complex and quaternionic Goos-Haenchen shift.