Connecting perturbative and non-perturbative sectors in quantum mechanics: A resurgence analysis

Kemal Tezgin

University of Connecticut

Abstract: Recently, an important progress has been made in studying the question of the relation between the perturbative and non-perturbative contributions in quantum mechanical systems. Many types of observations between the contributions of two sectors, namely perturbative and non-perturbative sectors, have been made by applications of the Resurgence theory. More recently, rather than calculating two sectors separately it is realized that non-perturbative instanton effects can be generated to all orders by perturbation theory and vice versa via the so-called Dunne- Unsal relation in several quantum mechanical systems. We show that this relation is also applicable to cubic and quartic anharmonic oscillators which are genus one potentials. However for higher genus anharmonic potentials we observe that the relation is not satisfied and is subject to a certain extension.

Yer : MSGSÜ Bomonti Binası, Fizik Bölümü
Tarih : 2 Haziran 2016 Perşembe, 15:00