Abstract
Combining the deviation between thin layers'adjacent surfaces with the confining potential method applied to the quantum curved systems,we derive the effective Schrödinger equation describing the particle constrained within a curved layer,accompanied by a general geometric potential Vgq composed of a compression-corrected geometric potential Vgq*and a novel potential Vgq** brought by the deviation.Applying this analysis to the cylindrical layer emerges two types of deviation-induced geometric potential,resulting from the the cases of slant deviation and tangent deviation,respectively,which strongly renormalizes the purely geometric potential and contribute to the energy spectrum based on a very substantial deepening of bound states they offer.
基金项目
National Natural Science Foundation of China(11934008)
Fund from National Laboratory of Solid State Microstructure of Nanjing University(M35040)
Fund from National Laboratory of Solid State Microstructure of Nanjing University(M35053)
Youth Independent Innovation Fund(KYJBJKQTZQ23006)