Publications (6)
Non-perturbative Quantum Dynamics on Embedded Submanifolds: From Geometric Mass to Higgs Potentials
Li Wang, Run Cheng, Jun Wang
We establish a quantum dynamics framework for curved submanifolds embedded in higher-dimensional spaces. Through rigorous dimensional reduction, we derive the first complete Schrö…
Geometric effects of a quarter of corrugated torus
Run Cheng, Yong-Long Wang, Hua jiang +2
In the spirit of the thin-layer quantization scheme, we give the effective Shrödinger equation for a particle confined to a corrugated torus, in which the geometric potential is s…
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…
Spin polarization of electrons through corrugated surface in magnetic field
Hao Zhao, Yong-Long Wang, Run Cheng +4
Noninteracting electrons confined to a corrugated surface are investigated in magnetic field, and the associated effective Pauli equation is given analytically by the thin-layer qu…
Geometric effects on the electronic structure and the bound states in annular corrugated wires
Run Cheng, Yong-Long Wang, Hao-Xuan Gao +3
In the spirit of the thin-layer quantization scheme, we give the effective Hamiltonian describing the noninteracting electrons confined to an annular corrugated surface, and find t…
Finite-Size Effects with Boundary Conditions on Bose-Einstein Condensation
Run Cheng, Qian-Yi Wang, Yong-Long Wang +1
We investigate the statistical distribution for ideal Bose gases with constant particle density in the 3D box of volume . By changing linear size and imposing differen…