Wang, YL (reprint author), Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China.
; Du, Long
; Liu, Xiao-Jun] Nanjing Univ, Dept Phys, Inst Acoust, Key Lab Modern Acoust,MOE, Nanjing 210093, Jiangsu, Peoples R China
; [Wang, Yong-Long
; Xu, Chang-Tan] Linyi Univ, Sch Sci, Dept Phys, Linyi 276005, Peoples R China
; [Zong, Hong-Shi] Nanjing Univ, Dept Phys, Nanjing 210093, Jiangsu, Peoples R China
; [Zong, Hong-Shi] Joint Ctr Particle Nucl Phys & Cosmol, Nanjing 210093, Jiangsu, Peoples R China
; [Zong, Hong-Shi] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
We derive the Pauli equation for a charged spin particle confined to move on a spatially curved surface S in an electromagnetic field. Using the thin-layer quantization scheme to constrain the particle on S, and in the transformed spinor representations, we obtain the well-known geometric potential V-g and the presence of e(-i phi), which can generate additive spin connection geometric potentials by the curvilinear coordinates derivatives, and we find that the two fundamental evidences in the literature [Giulio Ferrari and Giampaolo Cuoghi, Phys. Rev. Lett. 100, 230403 (2008)] are still valid in the present system without source current perpendicular to S. Finally, we apply the surface Pauli equation to spherical, cylindrical, and toroidal surfaces, in which we obtain expectantly the geometric potentials and new spin connection geometric potentials, and find that only the normal Pauli matrix appears in these equations.