Cauchy problem for the Fermion field equation coupled with the Chern-Simons gauge

DOI10.1007/s11005-006-0118-yzbMath1105.35058OpenAlexW2045141791MaRDI QIDQ861728

Hyungjin Huh

Publication date: 30 January 2007

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11005-006-0118-y

zbMATH Keywords

div-curl decompositionCoulomb gauge conditionLorentz gauge conditionsmoothing properties of the gauge field

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15)

Related Items

Small data global existence and decay for relativistic Chern-Simons equations ⋮ Unnamed Item ⋮ Remarks on Chern-Simons-Dirac equations in one space dimension ⋮ A note on the Chern-Simons-Dirac equations in the Coulomb gauge ⋮ Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in \(\mathbb R^{1+1}\) ⋮ WELL-POSEDNESS OF THE CAUCHY PROBLEM FOR THE CHERN–SIMONS–DIRAC SYSTEM IN TWO DIMENSIONS ⋮ Global solutions to time-dependent Ginzburg-Landau-Chern-Simons equations ⋮ Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge ⋮ Local and global solutions of Chern-Simons gauged O(3) sigma equations in one space dimension ⋮ Low regularity solutions to the non-abelian Chern-Simons-Higgs system in the Lorenz gauge ⋮ Finite difference methods for the one-dimensional Chern-Simons gauged models

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