Volume 71, Number 4, August 2005
|Page(s)||517 - 523|
|Published online||13 July 2005|
Relativistic analogue of the Pauli equation and Dirac electron states in strong magnetic fields
Kurchatov Institute - 1 Kurchatov Sq., 123182 Moscow, Russia
Corresponding author: email@example.com
Accepted: 13 June 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.
PACS: 03.65.Pm – Relativistic wave equations / 41.75.Ht – Relativistic electron and positron beams / 29.27.Hj – Polarized beams
© EDP Sciences, 2005
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