  We analyze the effect of a dissipative bosonic environment on the
Landau-Zener-Stuckelberg-Majorana (LZSM) level crossing model by using a
microscopic approach to derive the relevant master equation. For an environment
at zero temperature and weak dissipation our microscopic approach confirms the
independence of the survival probability on the decay rate that has been
predicted earlier by the simple phenomenological LZSM model. For strong decay
the microscopic approach predicts a notable increase of the survival
probability, which signals dynamical decoupling of the initial state. Unlike
the phenomenological model our approach makes it possible to study the
dependence of the system dynamics on the temperature of the environment. In the
limit of very high temperature we find that the dynamics is characterized by a
very strong dynamical decoupling of the initial state - temperature-induced
quantum Zeno effect.
