Abstract
The results of a numerical study of strongly coupled bound polaron eigenstates are presented. Two kinds of eigenstates with low energy exist. Firstly, there are states which are approximately hydrogen-like. Secondly, there are mixed states, which may be approximated as a sum of a few hydrogen-like functions. A parametrical analysis allows one to establish a relation between hydrogen eigenstates and bound polaron eigenstates, which is not a one-to-one correspondence but includes bifurcations. Two kinds of bifurcations are responsible for the appearance of two types of mixed states.
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