2007/12/28 by Chang-Guang Shi, Minoru Hirayama
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic solution #Ansatz #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Differential algebraic equation #Differential equation #Mathematical analysis #Mathematical physics #Mathematics #Mechanics #Nonlinear Photonic Systems #Ordinary differential equation #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Vortex #Vortex ring #hep-th
paper · pdf · doi:10.1142/s0217751x08039517
published as Int.J.Mod.Phys.A23:1361-1369,2008 · 9pages,4figures
arxiv created 2007/12/28 · openalex publication_date 2008/04/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Through an ansatz specifying the azimuthal-angle dependence of the solution, the static field equation for vortex of the Faddeev model is converted to an algebraic ordinary differential equation. An approximate analytic expression of the vortex solution is explored so that the energy per unit vortex length becomes as small as possible. It is observed that the minimum energy of vortex is approximately proportional to the integer which specifies the solution.