PPGF/CCET

TÍTULO: "Normal and quasinormal modes in fermion-wobbling kink interaction "

PALESTRANTE:  Profa. AZADEH MOHAMMADI (FÍSICA/UFPE)

ABSTRACT: In this talk, I will address the system consisting of a fermion in the background of a wobbling kink. We have studied the impact of the wobbling on the fermion-kink interaction, utilizing the time-dependent perturbation theory formalism in quantum mechanics, and computed the transition probabilities between states in terms of the Bogoliubov coefficients. We derived Fermi’s golden rule for the model showing the transition to the continuum at a constant rate when the fermion-kink coupling constant is smaller than the wobbling frequency. Then we replaced the shape mode with a quasinormal mode taking a toy model that we designed. In this case, the transition rate to the continuum decays in time due to the leakage of the mode, and the final transition probability decreases sharply for large coupling constants in a way that is analogous to Fermi’s golden rule. We have also compared the perturbative results with the exact ones coming from numerical simulations.

LINK: meet.google.com/ibi-mreh-dgk

                                                                                                Data: 16/09/2021, 5a-feira, às 17:00H