The Bardeen black hole holds historical significance as the first model of a
regular black hole. Recently, there have been proposed interpretations of the
Bardeen spacetime as quantum corrections to the Schwarzschild solution. Our
study focuses on investigating the quasinormal modes and Hawking radiation of
the Bardeen black hole. We have observed that previous studies on the
quasinormal modes for the Bardeen black hole suffer from inaccuracies that
cannot be neglected. Therefore, we propose accurate calculations of the
quasinormal modes for scalar, electromagnetic, and neutrino fields in the
Bardeen spacetime. Additionally, we have computed the grey-body factors and
analyzed the emission rates of Hawking radiation. Even when the quantum
correction is small and the fundamental mode only slightly differs from its
Schwarzschild value, the first several overtones deviate at an increasingly
stronger rate. This deviation leads to the appearance of overtones with very
small real oscillation frequencies. This outburst of overtones is closely
linked to the fact that the quantum-corrected black hole differs from its
classical limit primarily near the event horizon. Moreover, the intensity of
the Hawking radiation is significantly suppressed (up to three orders of
magnitude) by the quantum correction.Comment: 12 pages, 9 figure