论文标题
弯曲的薄层系统中有效的量子动力学，不均匀限制
Effective quantum dynamics in curved thin-layer system with inhomogeneous confinement
论文作者
论文摘要
均匀限制在弯曲表面的量子颗粒的运动受曲率诱导的几何潜能的影响。在这里，我们考虑了不均匀限制的情况，并通过扩展薄层程序来得出有效的哈密顿量，在出现更有效的潜力的情况下。这种有效的潜力与垂直于表面的基态能和狭窄潜力的形态有关。设想厚度的微小变化会引起有效电位的相当大的幅度。为了证明不均匀性的影响，我们应用了我们的方法来研究圆柱形表面上的相干运输，其中施加了两个螺旋沟。数值分析表明，限制的不均匀性显着改变了运输特性。这项研究开发了低维约束系统的方法，并表现出了在纳米结构中进行波动的新程度控制的可能性。
The motion of quantum particles homogeneously constrained to a curved surface is affected by a curvature induced geometric potential. Here, we consider the case of inhomogeneous confinement and derive the effective Hamiltonian by extending thin-layer procedure, where an extra effective potential appears. This effective potential is relevant to the ground state energy perpendicular to the surface and the morphology of the confining potential. Tiny changes in the thickness are envisioned to induce considerable magnitude of the effective potential. To demonstrate the impact of the inhomogeneity, we apply our method to investigate the coherent transport on a cylindrical surface where a confining potential with two helical ditches is imposed. Numerical analysis reveals that the inhomogeneity of the confinement significantly changes the transport properties. This study develops the method for low-dimensional constrained systems and exhibits the possibility of new degree of control for waveguiding in nanostructures.
