Stark resonances in 2-dimensional curved quantum waveguides

TL;DR

This paper investigates how a small electric field affects bound states in a 2D curved quantum waveguide, transforming them into resonances, with implications for quantum systems under geometric and electric influences.

Contribution

It demonstrates that bound states in a 2D waveguide become resonances under a small electric field aligned with the guide's length.

Findings

Bound states turn into resonances with electric field application.

Geometrical deformation influences resonance behavior.

Electric field component along the waveguide induces resonance formation.

Abstract

In this paper we study the influence of an electric field on a two dimen-sional waveguide. We show that bound states that occur under a geometrical deformation of the guide turn into resonances when we apply an electric field of small intensity having a nonzero component on the longitudinal direction of the system. MSC-2010 number: 35B34,35P25, 81Q10, 82D77.