With the ever-growing interest in quantum computing, understanding the
behaviour of excitons in monolayer quantum dots has become a topic of great
relevance. In this paper, we consider a Wannier exciton confined in a
triangular quantum dot of hexagonal Boron Nitride. We begin by outlining the
adequate basis functions to describe a particle in a triangular enclosure,
analyzing their degeneracy and symmetries. Afterwards, we discuss the excitonic
hamiltonian inside the quantum dot and study the influence of the quantum dot
dimensions on the excitonic states.Comment: 5 figure