On maximal multiplicities for Hamiltonians with separable variables

B. Helffer, T. Hoffmann-Ostenhof, P. Marquetand

For ${\mathbb{N}}^{\ast }:=\mathbb{N}\setminus \{0\}$, we consider the collection $\mathfrak{M}(N)$ of all the $N$ rows, for which, for $n=1,\cdots ,N$, the $n-th$ row consists of an increasi…