Abstract:
The asymptotic behavior of the solutions of the Cauchy problem for the non-stationary Dirac equation with a time-dependent potential is studied. The construction of asymptotic solutions is based on the spectral decomposition of the solution at a given time. The adiabatic theorem of scattering theory is not used.
Key words and phrases:nonstationary Dirac operator, slow time dependence, adiabatic theorem of scattering theory, spectral theory of the Dirac operator, asymptotic behavior of solutions.
Fulltext:
PDF file (162 kB)