Resurgent transseries in quantum mechanics (Alexander van Spaendonck, University of Amsterdam)

01.03.2024 10:30

It is well known that perturbative series encode information about many – but not necessarily all -- nonperturbative effects and that both can be unified in a so-called ‘transseries’. Such transseries are universally present in physics, but relatively few examples are known in closed form. In this talk I will discuss one-dimensional quantum mechanical oscillators and demonstrate how one obtains a transseries solution for the energy spectrum which contains all instanton corrections in closed form. I’ll subsequently elucidate the resurgent structure of this transseries using alien calculus and demonstrate that in more nontrivial models, these transseries are not ‘minimally resurgent’, but factorize into two distinct transseries structures. This talk is based on joint work with Marcel Vonk.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire "Physical Mathematics Seminar"

entrée libre