The continuous spectrum of bound states in expulsive potentials: self-trapping in the linear system Hidetsugu Sakaguchi [1] , Boris A. Malomed* [2]ORCID iD , Andreas C. Aristotelous [3] , Efstathios G. Charalampidis [4]

https://www.academia.edu/3064-979X/3/2/10.20935/AcadQuant8294 Introduction: Contrary to common intuition, which suggests that a steep expulsive potential makes quantum states widely delocalized, we demonstrate that one- and two-dimensional (1D and 2D) Schrödinger equations, which include expulsive potentials that are steeper than the quadratic ones, give rise to normalizable eigenstates, which may be considered as a manifestation of effective self-trapping in the linear system. https://www.academia.edu/journals/academia-quantum/articles?source=journal-top-nav