Relativistic echo dynamics and the stability of a beam of Landau electrons

Details Relativistic echo dynamics and the stability of a beam of Landau electrons Relativistic echo dynamics and the stability of a beam of Landau electrons

2008-01-09

arxiv.org/abs/0801.1489v3

J.Phys.A41:102002,2008

Physics

Quantum Physics

8 pages, no figures

Scientific paper

10.1088/1751-8113/41/10/102002

We extend the concepts of echo dynamics and fidelity decay to relativistic quantum mechanics, specifically in the context of Klein-Gordon and Dirac equations under external electromagnetic fields. In both cases we define similar expressions for the fidelity amplitude under perturbations of these fields, and a covariant version of the echo operator. Transformation properties under the Lorentz group are established. An alternate expression for fidelity is given in the Dirac case in terms of a 4-current. As an application we study a beam of Landau electrons perturbed by field inhomogeneities.

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