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FAST TRACK COMMUNICATION
2008 J. Phys. A: Math. Theor. 41 102002 (6pp) doi: 10.1088/1751-8113/41/10/102002
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Abstract. 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.
PACS numbers: 03.65.Pm, 03.67.−a
Print publication: Issue 10 (14 March 2008)| Post to CiteUlike | | Post to Connotea | | Post to Bibsonomy |
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