Relativistic analogue of the Pauli equation and Dirac electron states in strong magnetic fieldsYu. V. Kononets
Kurchatov Institute - 1 Kurchatov Sq., 123182 Moscow, Russia
received 30 March 2005; accepted in final form 13 June 2005
published online 13 July 2005
In a constant magnetic field, an exact unitary transformation is found, which reduces the Dirac equation to a two-component relativistic Pauli equation analogue. New conserved quantities are discovered. An interplay between the spin and orbital motions of a Dirac particle is revealed, which is especially dramatic in homogeneous above-Schwinger fields, where the Pauli equation analogue, in itself, allows velocities exceeding the speed of light. An exact equation for the electron spin in a strong magnetic field is obtained, which turns into the Bargmann-Michel-Telegdi equation in the high-energy limit.
03.65.Pm - Relativistic wave equations.
41.75.Ht - Relativistic electron and positron beams.
29.27.Hj - Polarized beams.
© EDP Sciences 2005