6 citations · 6 across the 1 of their papers we have counts for
3 papers
cond-mat.soft2018
Harmonic field in knotted space
Xiuqing Duan, Zhenwei Yao
Knotted fields enrich a variety of physical phenomena, ranging from fluid flows, electromagnetic fields, to textures of ordered media. Maxwell's electrostatic equations, whose vacu…
cond-mat.soft2017★ 6 cited
Curvature-driven stability of defects in nematic textures over spherical disks
Xiuqing Duan, Zhenwei Yao
Stabilizing defects in liquid-crystal systems is crucial for many physical processes and applications ranging from functionalizing liquid-crystal textures to recently reported comm…
math-ph2017
Proof of Atiyah-Singer Index Theorem by Canonical Quantum Mechanics
Zixian Zhou, Xiuqing Duan, Kai-Jia Sun
We show that the Atiyah-Singer index theorem of Dirac operator can be directly proved in the canonical formulation of quantum mechanics, without using the path-integral technique.…