72 citations · 529 across the 26 of their papers we have counts for
8 papers · 1 filter
Quantum mechanics of fermion confined to a curved surface in Foldy-Wouthuysen representation
Hao Zhao, Yong-Long Wang, Cheng-Zhi Ye +3
In Foldy-Wouthuysen representation, we deduce the effective quantum mechanics for a particle confined to a curved surface by using the thin-layer quantization scheme. We find that…
Geometry-induced Monopole Magnetic Field and Quantum Spin Hall Effect
Yong-Long Wang, Hao Zhao, Hua Jiang +2
The geometric effects of two-dimensional curved systems have been an interesting topic for a long time. A Möbius surface is specifically considered. For a relativistic particle con…
Pseudo-magnetic field and effective spin-orbit interaction for a spin-1/2 particle confined to a curved surface
Guo-Hua Liang, Yong-Long Wang, Meng-Yun Lai +3
By considering the spin connection, we deduce the effective equation for a spin-1/2 particle confined to a curved surface with the non-relativistic limit and in the thin-layer quan…
Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
Yong-Long Wang, Meng-Yun Lai, Fan Wang +2
Investigating the geometric effects resulting from the detailed behaviors of the confining potential, we consider square and circular confinements to constrain a particle to a spac…
Geometric influences of a particle confined to a curved surface embedded in three-dimensional Euclidean space
Yong-Long Wang, Hua Jiang, Hong-Shi Zong
In the spirit of the thin-layer quantization approach, we give the formula of the geometric influences of a particle confined to a curved surface embedded in three-dimensional Eucl…
Quantum particle confined to a thin-layer volume: Non-uniform convergence toward the curved surface
Yong-Long Wang, Hong-Shi Zong
We clearly refine the fundamental framework of the thin-layer quantization procedure, and further develop the procedure by taking the proper terms of degree one in ( den…
Pauli equation for a charged spin particle on a curved surface in an electric and magnetic field
Yong-Long Wang, Long Du, Chang-Tan Xu +2
We derive the Pauli equation for a charged spin particle confined to move on a spatially curved surface in an electromagnetic field. Using the thin-layer quantization…
Curvature-induced bound states and coherent electron transport on the surface of a truncated cone
Long Du, Yong-Long Wang, Guo-Hua Liang +3
We study the curvature-induced bound states and the coherent transport properties for a particle constrained to move on a truncated cone-like surface. With longitudinal hard wall b…