Volume 67, Number 5, September 2004
|Page(s)||695 - 699|
|Published online||01 August 2004|
Solution of the generalized Dirac equation in a time-dependent linear potential: Relativistic geometric amplitude factor
Laboratoire de Physique Quantique et Systemes Dynamiques, Département de Physique Faculté des Sciences, Université Ferhat Abbas de Sétif - Sétif 19000, Algeria
Accepted: 15 June 2004
We present exact solutions of the Dirac equation for a particle with time-dependent mass moving in a time-dependent linear potential. In addition, we show that the time evolution can be described in terms of classical concept which leads to solve this problem by standard techniques of Hamiltonian mechanics. Geometric amplitude emerges as an adiabatic limit of the exact dynamics.
PACS: 03.65.Pm – Relativistic wave equations / 03.65.Ge – Solutions of wave equations: bound states / 03.65.Vf – Phases: geometric; dynamic or topological
© EDP Sciences, 2004
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