Lie algebra contractions and the Lindblad equation

The dynamics of an open quantum system leads todecoherence, which is accompanied by limiting transitions in the Lie algebra of observables and appearance of abelian subalgebras. It is possible to set aninverse problem as well - by a given Lie algebra contraction to find the dynamics of an open quantumsystem given by the Lindblad equation. The paperproposes examples of finding the Lindblad equationby the known contractions of algebra su(3).