This paper deals with the diffusion approximation of a semiconductor BoltzmannPoisson system. The statistics of collisions we are considering here, is the Fermi-Dirac operator with the Pauli exclusion term and without the detailed balance principle. Our study generalizes, the result of Goudon and Mellet [14], to the multi-dimensional case. keywords: Semiconductor, Boltzmann-Poisson, diffusion a...

The two-component formulation of quantum electrodynamics is studied. The relation with the usual Dirac formulation is exhibited, and the Feynman rules for the two-component form of the theory are presented in terms of familiar objects. The transformation from the Dirac theory to the two-component theory is quite amusing, involving Faddeev-Popov ghost loops of a fermion type with bose statistics...

1. Basic facts from the spectral theory of magnetic quantum Hamilto-nians (Schrödinger, Pauli, and Dirac operators with magnetic fields): self-adjointness, gauge invariance, diamagnetic inequality, Aharonov-Casher theorem [1, 7]. Constant magnetic fields [1]. 2. Berezin-Toeplitz operators and pseudodifferential operators with con-4. Resonances for the 3D Schrödinger operator with constant magne...

2 Using Maple in the study of the canonical formalism of general relativity 17 2. 1 2 CONTENTS Preview This is a review devoted to some results of Algebraic Programming (Computer Algebra-CA) used in treating several problems of general relativity, based mainly on already published articles (see the references). The first chapter presents procedures in REDUCE language using EXCALC package for al...

A means for separating subjective and objective aspects of the electron wave function is suggested, based on a reformulation of the Dirac Theory in terms of Spacetime Algebra. The reformulation admits a separation of the Dirac wave function into a two parameter probability factor and a six parameter kinematical factor. The complex valuedness of the wave function as well as its bilinearity in ob...

2 Using Maple in the study of the canonical formalism of general relativity 17 2. 1 2 CONTENTS Preview This is a review devoted to some results of Algebraic Programming (Computer Algebra-CA) used in treating several problems of general relativity, based mainly on already published articles (see the references). The first chapter presents procedures in REDUCE language using EXCALC package for al...

Since variational symplectic integrators for the guiding center was proposed [1,2], structure-preserving geometric algorithms have become an active research field in plasma physics. We found that slow manifolds of classical Pauli particle enable a family dynamics with long-term stability and accuracy. This discovery overcomes difficulty associated unstable parasitic modes when applied to degene...