### On quantum mechanical decay processes

Robert Grummt
This thesis is concerned with quantum mechanical decay processes and their mathematical description. It consists out of three parts: In the first part we look at Laser induced ionization, whose mathematical description is often based on the so-called dipole approximation. Employing it essentially means to replace the Laser's vector potential $\vec A(\vec r,t)$ in the Hamiltonian by $\vec A(0, t).$ Heuristically this is justified under usual experimental conditions, because the Laser varies only slowly in...
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