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

E Sadurní et al 2008 J. Phys. A: Math. Theor. 41 102002 (6pp)   doi: 10.1088/1751-8113/41/10/102002  Help

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E Sadurní1 and T H Seligman1,2
1 Instituto de Ciencias Físicas, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, México
2 Centro Internacional de Ciencias, Cuernavaca, Morelos, México
E-mail: sadurni@fis.unam.mx and seligman@fis.unam.mx

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)
Received 18 January 2008
Published 26 February 2008

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