首页|Quantum dynamics within curved thin layers with deviation
Quantum dynamics within curved thin layers with deviation
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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.
Physics Department of Basic Department,Army Engineering University of PLA,Nanjing 211101,China
School of Physics and Electronics,Hunan University,Changsha 410082,China
Department of Physics,Anhui Normal University,Wuhu 241002,China
National Laboratory of Solid State Microstructure,Collaborative Innovation Center of Advanced Microstructures,and School of Physics,Nanjing University,Nanjing 210093,China
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National Natural Science Foundation of ChinaFund from National Laboratory of Solid State Microstructure of Nanjing UniversityFund from National Laboratory of Solid State Microstructure of Nanjing UniversityYouth Independent Innovation Fund