Author

Gang Zheng

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Preprint Aug 2026

Three-Dimensional Coulomb Discrete Spectrum via Symplectic Geometry and Phase-Space Constraints: A Geometric Framework for Condensed-Matter Coulomb-Like Systems

Discrete energy-level structures in Coulomb-like localized bound states are conventionally obtained by direct diagonalization of the Schr\"odinger equation or by semiclassical approximations that fail at low energies. Here we develop a geometric phase-space framework that recovers the exact discrete energy levels and s...

Gang Zheng, Peng Chen, Meng-Li Wang et al. · 0 citations

Preprint Aug 2026

Classical Mechanics Exactly Yields the Full Bound-State Spectrum of the Two-Dimensional Coulomb Problem

High-lying Rydberg excitons in two-dimensional semiconductors universally exhibit a characteristic odd-integer energy scaling distinct from three-dimensional systems. While this hallmark of two-dimensional Coulomb interaction is well known from quantum mechanical solutions, its deeper classical geometric origin remains...

Gang Zheng, Wen-Qi Xue, Meng-Li Wang et al. · 0 citations