25 Maggio, 2023 14:30 in punto

Sezione di Analisi

Resolvent expansion and time decay of the wave functions of magnetic Hamiltonians in dimension two

Hynek Kovarik, Università degli Studi di Brescia

Aula Seminari III piano

I this talk I will present some results on the resolvent expansions of magnetic Hamiltonians at the threshold of the essential spectrum. I will show, in particular, that the nature of the expansion of a two-dimensional magnetic Hamiltonian is completely determined by the flux of the associated magnetic field. Applications to time decay of the wave functions will be discussed as well.