Bound-state solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac systems
From MaRDI portal
Publication:1924273
DOI10.1007/BF00398323zbMath0862.35096OpenAlexW2040511457MaRDI QIDQ1924273
Maria J. Esteban, Vladimir Georgiev, Éric Séré
Publication date: 26 May 1997
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00398323
Quantization in field theory; cohomological methods (81T70) PDEs in connection with quantum mechanics (35Q40) Special relativity (83A05)
Related Items
Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System ⋮ Solutions to a nonlinear Dirac–Maxwell system: from periodic waves to soliton-like waves ⋮ Convergence analysis of a symmetric exponential integrator Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Convergence analysis of two conservative finite difference Fourier pseudo-spectral schemes for Klein-Gordon-Dirac system ⋮ Semiclassical states of a type of Dirac-Klein-Gordon equations with nonlinear interacting terms ⋮ Structure‐preserving exponential wave integrator methods and the long‐time convergence analysis for the Klein‐Gordon‐Dirac equation with the small coupling constant ⋮ Optimal error estimates of a time-splitting Fourier pseudo-spectral scheme for the Klein-Gordon-Dirac equation ⋮ Two energy-preserving Fourier pseudo-spectral methods and error estimate for the Klein-Gordon-Dirac system ⋮ A uniformly accurate method for the Klein-Gordon-Dirac system in the nonrelativistic regime ⋮ Stationary States of Dirac--Klein--Gordon Systems with Nonlinear Interacting Terms ⋮ GROUND STATE OF THE YUKAWA MODEL WITH CUTOFFS ⋮ Analysis of a conservative fourth-order compact finite difference scheme for the Klein-Gordon-Dirac equation ⋮ From atoms to crystals: a mathematical journey ⋮ Optimal resolution methods for the Klein-Gordon-Dirac system in the nonrelativistic limit regime
Cites Work
- First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
- Critical point theorems for indefinite functionals
- Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
- Stationary states of the nonlinear Dirac equation: A variational approach
- Homoclinic orbits on compact hypersurfaces in \(\mathbb{R}^{2N}\), of restricted contact type
- Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
- Nonlinear Spinor Field