2008/01/31 by Emerson Sadurni, E Sadurní, Thomas H. Seligman +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Amplitude #Context (archaeology) #Covariant transformation #Dirac (video compression format) #Dirac equation #Dynamics (music) #Echo (communications protocol) #Electron #Lorentz transformation #Quantum Mechanics and Non-Hermitian Physics #Relativistic dynamics #Spectral Theory in Mathematical Physics #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8113/41/10/102002
published as J.Phys.A41:102002,2008 · 8 pages, no figures
openalex publication_date 2008/02/26 · arxiv created 2008/02/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.