%0 Journal Article %T Exceptional Points, Nonnormal Matrices, Hierarchy of Spin Matrices and an Eigenvalue Problem %A Willi-Hans Steeb %A Yorick Hardy %J Physics %D 2013 %I arXiv %R 10.1142/S0129183114500594 %X Exceptional points of a class of non-hermitian Hamilton operators $\hat H$ of the form $\hat H=\hat H_0+i\hat H_1$ are studied, where $\hat H_0$ and $\hat H_1$ are hermitian operators. Finite dimensional Hilbert spaces are considered. The linear operators $\hat H_0$ and $\hat H_1$ are given by spin matrices for spin $s=1/2,1,3/2,\dots$. Since the linear operators studied are nonnormal, properties of such operators are described. %U http://arxiv.org/abs/1301.2900v4