论文信息 - The Selfconsistent Pauli Equation

The Selfconsistent Pauli Equation

Abstract. We deal with consistent first order non-relativistic corrections (i.e. in the small parameter , where c is the speed of light) of the Dirac–Maxwell system. We discuss a selfconsistent modeling of the Pauli equation as the O(ɛ) approximation of the Dirac equation. We suggest a coupling to the “magnetostatic”O(ɛ) approximation of the Maxwell equations consisting of Poisson equations for the four components of the potential. We sketch the semiclassical/nonrelativistic limits of this model.

N. Mauser | N. Masmoudi

[1] P. Dirac. Principles of Quantum Mechanics , 1982 .

[2] S. Ukai,et al. On the Vlasov-Poisson Limit of the Vlasov-Maxwell Equation , 1985 .

[3] Jack Schaeffer. The classical limit of the relativistic Vlasov-Maxwell system , 1986 .

[4] H. Neunzert,et al. Local existence of solutions of the vlasov‐maxwell equations and convergence to the vlasov‐poisson equations for infinite light velocity , 1986 .

[5] B. Najman,et al. The nonrelativistic limit of the nonlinear Dirac equation , 1992 .

[6] Norbert J. Mauser,et al. THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D , 1993 .

[7] T. Paul,et al. Sur les mesures de Wigner , 1993 .

[8] Vladimir Georgiev,et al. Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations , 1996 .

[9] P. Markowich,et al. Homogenization limits and Wigner transforms , 1997 .

[10] N. Mauser,et al. (Semi)-Nonrelativistic Limits of the Dirac Equation with External Time-Dependent Electromagnetic Field , 1998 .