Quantum Theory of Transport in a Magnetic Field
- 15 January 1960
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 117 (2), 315-328
- https://doi.org/10.1103/physrev.117.315
Abstract
A quantum-mechanical theory of transport of charge for an electron gas in a magnetic field is presented that takes account of the quantization of the electron orbits. A transport equation for the necessary elements of the density matrix is developed for arbitrary values of the magnetic field. The scattering is taken to be elastic and is treated only in the Born approximation. The effect of both the magnetic and electric fields on the collisions is taken into account. The influence of the latter has been neglected in previous theories. It is proven, however, to be important in high magnetic fields. It is established that the effect of a transverse electric field on the scattering can be described as the tendency of the electrons to "relax" to a distribution characteristic of thermal equilibrium in the presence of the electric field.Keywords
This publication has 13 references indexed in Scilit:
- Quantum theory of transverse galvano-magnetic phenomenaJournal of Physics and Chemistry of Solids, 1959
- Quantum Theory of Galvanomagnetic Effect. I. Basic ConsiderationsJournal of the Physics Society Japan, 1959
- Galvanomagnetic effects in the quantum limitJournal of Physics and Chemistry of Solids, 1959
- Quantum Theory of Galvanomagnetic EffectsPhysical Review B, 1958
- Quantum theory of the electrical conductivity of metals in a magnetic fieldJournal of Physics and Chemistry of Solids, 1958
- The approach to equilibrium in quantum statistics: A perturbation treatment to general orderPhysica, 1957
- Quantum Theory of Electrical Transport PhenomenaPhysical Review B, 1957
- Quantum-mechanical perturbations giving rise to a statistical transport equationPhysica, 1954
- Über die Widerstandsänderung von Metallen im MagnetfeldAnnalen der Physik, 1935
- Diamagnetismus der MetalleThe European Physical Journal A, 1930