H-integrable solutions to 2d dimensional canonical systems

This paper establishes that every $2d$-dimensional canonical system with a positive semidefinite Hamiltonian $H(t)$ satisfying $\operatorname{tr} H(t) \equiv 1$ possesses at least one nontrivial $H$-integrable solution and that the space of all such solutions has a dimension of at most $d$.

Original authors: Keshav Raj Acharya