Europhysics Letters (EPL)

Solution of the generalized Dirac equation in a time-dependent linear potential: Relativistic geometric amplitude factor

Mustapha Maamache, Halim Lakehal

Published Aug 25, 2004• 13 citations

Abstract

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.

DOI: 10.1209/epl/i2004-10109-6

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