The Landau–Pekar equations : adiabatic theorem and accuracy
The Landau–Pekar equations : adiabatic theorem and accuracy
We prove an adiabatic theorem for the Landau-Pekar equations. This allows us to derive new results on the accuracy of their use as effective equations for the time evolution generated by the Fr\"ohlich Hamiltonian with large coupling constant $\alpha$. In particular, we show that the time evolution of Pekar product …