TRANSVERSE TRANSPORT PROCESSES OF CHARGED PARTICLE SYSTEMS IN A STRONG MAGNETIC FIELD (I) Quantum Theory

The quantum theory of the transverse transport of charged particle systems in a strong, uniform magnetic field is reinvestigated in this article. All such previous theories, based on the Kubo formula in the Landau representation, only considered the second-order term of the collisional expansion series. However, if other high-order terms, especially the so-called reducible diagonal parts, are also considered, another second-order contribution is found, which exactly cancels the one derived prebiously. Hence, within the fxamwork of the usual theory, all the transverse transport coefficients would be identically zero. phis consequence is directly related to the local nature of the Landau eigen states.Only because previous calculations were incomplete did they obtain finite results.