Semi-relativistic approximations of the Dirac equation: First and second order corrections

DOI10.1080/00411450008205884zbMath0966.81008OpenAlexW1977626799MaRDI QIDQ2720980

Norbert J. Mauser

Publication date: 28 June 2001

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411450008205884

zbMATH Keywords

Poisson equationsPauli equationelectro-magneto-static \(O(\varepsilon)\) approximationself-consistent modelingtime-dependent, nonhomogeneous electromagnetic potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Computational methods for problems pertaining to quantum theory (81-08)

Related Items (3)

The Euler–Poisswell/Darwin equation and the asymptotic hierarchy of the Euler–Maxwell equation ⋮ Discrete versus continuous models in evolutionary dynamics: from simple to simpler-and even simpler-models ⋮ On the Rotating Nonlinear Klein--Gordon Equation: NonRelativistic Limit and Numerical Methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The classical limit of the relativistic Vlasov-Maxwell system
• (Semi)-nonrelativistic limits of the Dirac equation with external time-dependent electromagnetic field
• Global finite-energy solutions of the Maxwell-Schrödinger system
• Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations
• Homogenization limits and Wigner transforms
• THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

This page was built for publication: Semi-relativistic approximations of the Dirac equation: First and second order corrections