A spin-less particle on a rotating curved surface in Minkowski space

查看全文 作　　者：Run [1,2]Cheng;Li [1]Wang;Hao [1,2]Zhao;Cui-Bai [3]Luo;Yong-Long [2]Wang;Jun [1]Wang 机构地区：[1]National Lab of Solid State Microstructure,Collaborative Innovation Center of Advanced Microstructures,and School of Physics,Nanjing University,Nanjing 210093,China;[2]School of Physics and Electronic Engineering,Linyi University,Linyi 276005,China;[3]Department of Physics,Anhui Nonnal University,Wuhu 241002,China 出　　处：《Communications in Theoretical Physics》索引2021年第73卷第12期,共11页 基　　金：jointly supported by the National Nature Science Foundation of China(Grants No.11774157,No.11934008,No.12075117,No.51721001,No.11890702,No.11625418,No.11535005,No.11690030);funded by the Natural Science Foundation of Shandong Province of China(Grant No.ZR2020MA091)。 摘　　要：In Minkowski space M,we derive the effective Schrodinger equation describing a spin-less particle confined to a rotating curved surface S.Using the thin-layer quantization formalism to constrain the particle on we obtain the relativity-corrected geometric potential V_(g)’,and a novel effective potential V(g) related to both the Gaussian curvature and the geodesic curvature of the rotating surface.The Coriolis effect and the centrifugal potential also appear in the equation.Subsequently,we apply the surface Schrodinger equation to a rotating cylinder,sphere and toms surfaces,in which we find that the interplays between the rotation and surface geometry can contribute to the energy spectrum based on the potentials they offer. 关 键 词：rotating curved surface Minkowski space surface Schrodinger equation CURVATURE