We analyze the consequences of the appearance of more than one resonan
ce in the evolution equations of neutrinos interacting with a magnetic
held in a scenario in which this field locally fluctuates around an e
quilibrium profile. We use time ordered exponential operators and the
stationary phase method to solve the involved integrals to show that i
n this case neutrino left-right conversion probability is larger than
the same probability calculated assuming only one resonance. Furthermo
re, quantum interference terms can substantially modify the left-right
conversion probability exceeding, in certain cases, by around 100% th
e averaged classical probability. Concerning the solar neutrino case,
such consequences of multiple resonances have to be taken into account
in any attempt of solving the solar neutrino problem through a nonvan
ishing neutrino magnetic moment.