Is it possible to write down a statement about the asymptotic behaviour of the wave function after a small perturbation has been switched on?(adsbygoogle = window.adsbygoogle || []).push({});

So I have and initial wave function [itex]\psi_0[/itex] and the Hamiltonian

[tex]H=\begin{cases}

H_0 & t<0\\

H_0+V+R & t\geq 0

\end{cases}[/tex]

where V is a small perturbation and R and even smaller random extra perturbation. It would be nice to have the wavefunction [itex]\psi(t=\infty)[/itex] in terms of the eigenstates of V.

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# Asymptotic behaviour after perturbation

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