In this paper we discuss some results on non self-adjoint Hamiltonians with real discrete simplespectrum under the assumption that their eigenvectors form Riesz bases of a certain Hilbert space. Also, weexhibit a generalization of those results to the case of rigged Hilbert spaces, and we also consider the problemof the factorization of the aforementioned Hamiltonians in terms of generalized lowering and raising operators.
|Title of host publication||Topological Algebras and their Applications. Proceedings of the 8th International Conference on Topological Algebras and their Applications, 2014.|
|Number of pages||26|
|Publication status||Published - 2018|
|Name||DE GRUYTER PROCEEDINGS IN MATHEMATICS|