2 papers
math.DG2026
Constructions and Rigidity of Nondegenerate Harmonic Functions with Quadric Branching Sets
Yuanbo Zhou
We study nondegenerate harmonic functions on Euclidean spaces with branching loci given by ellipsoids and planar conics. We first prove that the parameter map associa…
quant-ph2026
Unified Exact Cylindrical Dirac Modes and Symmetry-Resolved Quantum Geometry
Zhongze Guo, Bei Xu, Qiang Gu
Exact cylindrical solutions of the free Dirac equation provide natural single-particle modes for a broad class of axially symmetric relativistic fermion systems, including electron…