E Sadurní and T H Seligman 2008 J. Phys. A: Math. Theor. 41 102002 doi:10.1088/1751-8113/41/10/102002
Relativistic echo dynamics and the stability of a beam of Landau electrons
FREE ARTICLEE Sadurní1 and T H Seligman1,2
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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
- MSC
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15A72 Vector and tensor algebra, theory of invariants (See also 13A50, 14L24)
81R15 Operator algebra methods (See also 46Lxx, 81T05)
34L40 Particular operators (Dirac, one-dimensional Schrödinger, etc.)
- Subjects
- Dates
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Issue 10 (14 March 2008)
Received 18 January 2008
Published 26 February 2008
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Relativistic echo dynamics and the stability of a beam of Landau electrons
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