Finite lifetime eigenfunctions of coupled systems of harmonic oscillators

Lyonell Boulton, Stefania Marcantognini, Maria Moran

We find a Hermite-type basis for which the eigenvalue problem associated to the operator $H_{A,B}:=B(-{\partial }_x^2)+A{x}^2$ acting on $L^2(\mathbf{R};{\mathbf{C}}^2)$ becomes a three-terms r…